MightY Math for 7-9 year olds Maturing Mathematician BOOK 2
Sailing On With
Mathematics Kim Freeman
MightY Math for ...
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MightY Math for 7-9 year olds Maturing Mathematician BOOK 2
Sailing On With
Mathematics Kim Freeman
MightY Math for 7-9 year olds Maturing Mathematician BOOK 2
Sailing On With
Mathematics Kim Freeman
Mighty Math Maturing Mathematician Book 2, Sailing On With Mathematics Author, K. Freeman eBook Version First Published in 2007 by: Mahobe Resources (NZ) Ltd P.O. Box 109-760 Newmarket, Auckland New Zealand. www.mahobe.com © Mahobe Resources (NZ) Ltd. ISBN10: 1877216887 ISBN13: 9781877216886
2
HOW CAN YOU HELP YOUR CHILD IN MATHEMATICS? Mastering mathematics is essential for future opportunities in school and careers. Your children need to reach a certain level of competency in mathematics to be able to progress in many advanced high-school courses, and then to have a wider variety of career choices. Doing mathematics homework reinforces all the skills being learnt in class. The more time children spend practising their skills, the sooner they will develop confidence in their abilities. However don’t just give this book to your children and expect them to learn by themselves. Any activity is fun when done with others or when there is reinforcement and encouragement. Praise and attention to what they are doing will help towards getting them to sit down to learn next time. This green Mighty Maths series, Maturing Mathematician, reinforces and continues on with the work covered in the previous Mighty Maths series (Beginning Mathematician, Developing Mathematician and Advancing Mathematician). The work is progressively more challenging and new concepts are introduced in each book at various points. To help reinforce mathematical skills as well as to maintain motivation, the same type of question is asked in different ways and contexts. This specific book covers number sequences, numbers greater than 100, arithmetic strategies, adding and subtracting with carrying, measurement and fractions. For best results: C
Make sure your children understand the different concepts. Mathematics is not just a meaningless mental exercise of memorizing rules and doing rote drills. Making mathematics part of their daily lives will make it more meaningful. For example, ask them to space new plants a certain distance apart in the garden, double a recipe or pay bills in stores.
C
Help them to master the basic facts and learn the vocabulary of mathematics. By now, your children should be competent in the multiplication tables, and simple arithmetic. Having these basic skills and being able to understand the vocabulary means that they can move up to a higher level of learning. If they have not mastered these, use flash cards and drills to help them learn.
C
Encourage your children to write neatly. Many errors in solving mathematics problems can be traced back to sloppy number writing.
C
Provide help immediately when needed. Mathematics is a subject in which everything builds upon what has been previously learned. For example, a failure to understand fractions and decimals will lead to problems with percentages.
We hope that you and your children have fun with Mighty Maths. At Mahobe, we certainly had fun putting it all together for you.
3
What is found in this book? In this book you look at: Numbers greater than 100
2 0 4
two hundred and four 4 single units
2 group of 100 units
zero groups of 10 units Adding and subtracting
74 + 1 69 1 43
1 62 - 1 47 15
4 + 9 = 13 (1 ten, 3 ones)
12 - 7 = 5 6 - 5 = 1
7 + 6 + 1 = 14(tens) Fractions
Maturing Mathematician
4
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POSITION Label with the correct terms. heavier
empty
lighter
full
tall
large
short
small
fast
slow
on above beside
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Maturing Mathematician
COMBINATIONS 1
4 SCHOOL
2 5 3 There are 5 roads that lead to school. List all the different combinations of routes that can be taken. .........................
1, 4
.........................
.........................
.........................
.........................
.........................
Celine
Robbie
Ryan
List the ways in which you can hang the photos
Celine Ryan Robbie ..............................................
..............................................
..............................................
..............................................
..............................................
..............................................
Maturing Mathematician
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MORE COMBINATIONS Choose 1 sandwich and 1 kind of fruit. List the different combinations.
banana ham sandwich apple
salad sandwich
orange
Three numbers are purchased for the mail box. What are the different three digit numbers that can be produced from 2, 5 and 8?
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Maturing Mathematician
NUMBER SERIES Write the largest and smallest numbers that can be formed from these digits. (Repetition of digits is not allowed.)
412
Smallest
Largest
74 5 802 39 6 Complete each number series below.
705, ............, 703, ............, 701, ............, ............ 210, 212, ............, ............, 218, ............, ............ ............, ............, ............, 450, 455, 460, ............ 880, ............, 860, ............, ............, ............, ............ Maturing Mathematician
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NUMBER SERIES 264 624 462 426 642 246
Arrange these numbers in ascending order. Ascending order means smallest to biggest.
246 555 105 551 550 505 515
105 857 875 758 578 785 587
Arrange these numbers in descending order. Descending order means biggest to smallest.
875 256 265 526 625 562 652
652 Complete the calculations.
The sum of any two adjacent numbers is the number directly above.
10
5 5 5 5 25 Mahobe Resources (NZ) Ltd
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Maturing Mathematician
ADDITION Shade the circles that represent the number 57 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
57+.......... = 100
Shade the circles that represent the number 73 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
73+.......... = 100
Shade the circles that represent the number 68 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
68+.......... = 100
Shade the circles that represent the number 34 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
34+.......... = 100
Shade the circles that represent the number 29 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1 Maturing Mathematician
10
29+.......... = 100 Mahobe Resources (NZ) Ltd
Shade the circles that represent the number 45 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
45+.......... = 100
Shade the circles that represent the number 50 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
50+.......... = 100
Complete these sums.
40 30 50 70 1 2 5 51
+ + + + + + + +
.......... .......... .......... .......... .......... .......... .......... ..........
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= = = = = = = =
32 85 3 7 4 23 67 54
100 100 100 100 100 100 100 100 11
+ + + + + + + +
.......... .......... .......... .......... .......... .......... .......... ..........
= = = = = = = =
100 100 100 100 100 100 100 100
Maturing Mathematician
ARITHMETIC STRATEGIES Look at how this strategy uses the number line.
143 95 + 48 = ............ 5 50
60
70
80
90
+ 40 + 3
100
132 77 + 55 = .......... + 3 50
60
70
Maturing Mathematician
80
90
110
120
130
140
150
140
150
50 + 2 100
12
110
120
130
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Use the number lines to calculate these additions.
50
60
70
80
90
100
110
120
130
140
150
100
110
120
130
140
150
100
110
120
130
140
150
100
110
120
130
140
150
100
110
120
130
140
150
55 + 58 = ............ 50
60
70
80
90
96 + 39 = ............ 50
60
70
80
90
78 + 66 = ............ 50
60
70
80
90
66 + 56 = ............ 50
60
70
80
90
87 + 44 = ............ Mahobe Resources (NZ) Ltd
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Maturing Mathematician
ARITHMETIC STRATEGIES Look at how this strategy uses the number line.
85 133 - 48 = ............ 5 + 40 + 3 = 48 50
60
70
80
90
100
64 125 - 61 = ........... 50 + 6 50
60
70
80
90
110
+
100
110
120
130
140
150
5 = 61 120
130
140
150
There are all sorts of ways to do arithmetic. Maturing Mathematician
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Use the number lines to calculate these subtractions.
50
60
70
80
90
100
110
120
130
140
150
100
110
120
130
140
150
100
110
120
130
140
150
100
110
120
130
140
150
100
110
120
130
140
150
145 - 56 = ............ 50
60
70
80
90
108 - 41 = ............ 50
60
70
80
90
126 - 68 = ............ 50
60
70
80
90
149 - 55 = ............ 50
60
70
80
90
132 - 67 = ............ Mahobe Resources (NZ) Ltd
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Maturing Mathematician
PLACE VALUE The value of the digit 8 in the number 483 is ............................ The value of the digit 2 in the number 852 is ............................ The value of the digit 5 in the number 591 is ............................ The value of the digit 0 in the number 307 is ............................ The value of the digit 7 in the number 740 is ............................
Write these numbers in the correct order.
316
313
315
312
314
..................................................................................
561
560
577
578
579
..................................................................................
850
853 849 851
852
..................................................................................
Maturing Mathematician
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MIGHTY MATHS 249 + 1 =............ 299 + 1 =............ 329 + 10 =............ 150 - 3 =............ 581 - ........... =579 578 - ........... =568
389 + 1 =............ 546 + 10 =............ 161 + 10 =............ 214 - 10 =............ ............ - 2 =129 ............ - 10 =236
Start at the dot and continue to add 5 to each number
150 160 170 180 190 200 210 220 230 240 250 154, 159, ...........................................................................................................................
...........................................................................................................................
270 280 290 300 310 320 330 340 350 360 370 277, 282 ...........................................................................................................................
...........................................................................................................................
510 520 530 540 550 560 570 580 590 600 610 518, 523, ...........................................................................................................................
...........................................................................................................................
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Maturing Mathematician
Write these numbers into the hexanumber.
one hundred and eleven 2. twelve 3. four hundred and sixty seven 4. three hundred and twenty four 5. thirty two 9. nine hundred and sixty six 10. three hundred and one 11. five hundred and seven 13. twenty two 1.
1.
1 0
8.
1
4.
3.
2.
3 8
10 6.
6
2
7.
4
9
2
4 9.
10.
11.
12.
5 6 1 6
13.
2
5.
9 1
Write the numbers as words.
one hundred and two ..................................................................................... 6. ..................................................................................... 11. ................................................................................. 13. .................................................................................. 1.
Maturing Mathematician
..................................................................................... 8. ..................................................................................... 12. ................................................................................. 4.
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SEQUENCES Increase / decrease by 1 to finish each sequence.
315, .........., 317, .........., .........., .........., 321, 322, .........., .......... 567, .........., .........., .........., 571, 572, .........., .........., .........., .......... .........., 720, 719, 718, .........., .........., .........., .........., .........., 712 902, 901, .........., .........., .........., .........., .........., .........., .........., 893 Increase / decrease by 2 to finish each sequence.
210, 212, .........., .........., .........., .........., .........., .........., .........., .......... 832, 834, .........., .........., .........., .........., .........., .........., .........., .......... 500, .........., .........., .........., .........., 510, .........., .........., .........., .......... 720, 718, 716, .........., .........., .........., .........., .........., .........., .......... 680, 678, 676, .........., .........., .........., .........., .........., .........., ..........
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Maturing Mathematician
SEQUENCES Increase / decrease by 5 to finish each sequence.
125, 130, .........., .........., .........., .........., .........., .........., .........., .......... 650, 655, .........., 665, .........., .........., 680, .........., .........., .......... 104, 109, 114, 119, 124, .........., .........., .........., .........., .......... 320, .........., .........., 305, 300, 295, .........., .........., .........., .......... .........., .........., .........., .........., .........., 180, 175, 170, 165, 160 Increase / decrease by 10 to finish each sequence.
211, 221, .........., 241, .........., 261, .........., 281, .........., .......... 555, 565, .........., .........., 595, .........., .........., 625, .........., .......... 707, 717, .........., .........., 747, .........., .........., 777, .........., .......... 990, 980, 970, .........., .........., .........., .........., .........., .........., 900 455, 445, 435, .........., .........., .........., 395, 385, .........., ..........
Maturing Mathematician
20
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SEQUENCES
811 Write the numbers in ascending order. (Ascending order means smallest to biggest.) 825 820 803 449 235 204 420 481 838 228 213 403 ........................... ........................... ........................... ........................... ...........................
........................... ........................... ........................... ...........................
........................... ........................... ........................... ...........................
Write the largest and smallest numbers that can be formed from each of these digits.
1
4
6
........................... ...........................
3
2 85
7
........................... ...........................
........................... ...........................
8
9
0
2
........................... ...........................
The number that comes just before 500 is ............... The number that comes just after 789 is ............... The numbers between 268 and 271 are ............ and ............
632
Cross out the numbers greater than the one in the circle.
705 142 534 641
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811 448 Maturing Mathematician
ADDITION WITH CARRYING Positive Pete is here with Alicia Addison to show you how to add with carrying
Step 1.
47 +25 1 2 7 + 5 = 12 (1 ten plus 2 ones) Put the 1 ten in the tens column.
Step 2.
47 +25 1 72 4 + 2 + 1 = 7(tens)
Maturing Mathematician
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26 + 1 48 74 6 + 8 = 14 (4 ones, 1 ten) 2 + 4 + 1 = 7 2(tens)+4(tens)+1(ten)=7(tens)
74 + 1 69 143 4 + 9 = 13 (3 ones, 1 ten) Ezy Pezy!
7 + 6 + 1 = 14 7(tens)+6(tens)+1(ten)=14(tens)
Alicia Addison is now off to try some addition for herself. Mahobe Resources (NZ) Ltd
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Maturing Mathematician
8 + 7
18 +7
28 + 7
38 + 7
6 + 9
26 + 9
66 + 9
86 + 9
23 + 8
23 + 18
23 + 28
23 + 58
26 + 6
36 + 16
56 + 26
76 + 36
24 + 18
64 + 28
84 + 28
94 + 38
Maturing Mathematician
24
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47 48 24 36 56 + 27 + 26 + 25 + 37 + 39 38 + 47
49 46 66 52 +1 9 + 33 + 39 + 36
83 65 98 74 76 + 37 + 56 + 75 + 74 + 62 88 55 66 77 99 + 22 + 33 + 44 + 55 + 66 65 76 54 87 98 + 45 + 56 + 67 + 78 + 89 49 55 68 94 75 + 62 + 67 + 65 + 69 + 6 1 Mahobe Resources (NZ) Ltd
25
Maturing Mathematician
28 + 2
57 + 3
34 + 6
71 + 9
62 + 8
45 20 70 + 5 + 30 + 80
26 + 29
55 + 38
34 + 47
22 + 68
36 + 25
29 + 44
56 + 39
27 + 53
17 + 29
56 + 39
42 + 28
35 + 26
Maturing Mathematician
26
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87 + 57 66 + 55
127 + 53
74 55 + 27 + 68
78 + 44
219 + 74
218 + 15
104 + 46
334 + 87
319 + 72
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29 + 93
27
92 + 65 65 + 38
246 + 49
165 + 28
189 + 12
255 + 45
Maturing Mathematician
PARTITIONING Partition these sums.
65
47
50 + 10 + 5 96
30 + 32
+ 10 + 6 28 10 +
20 + 10 + 61
+ 8
50 + 10 + 74
53 + 10 + 3
+ 10 + 4
89 70 + Maturing Mathematician
+ 7
50 + 9
40 + 10 + 28
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Complete these sums.
77
40 + 19 23
60 +
10 +
40 + 10
81 70 +
98 + 18
64 50 +
95 + 15 56 + 16 32 + 12
Complete the calculations.
100 30 20 10 Mahobe Resources (NZ) Ltd
The sum of any two adjacent numbers is the number directly above.
40 29
Maturing Mathematician
SUBTRACTION WITH CARRYING 73 - 25
Maxine Minus and Dennis Difference show how to subtract.
you cannot subtract 5 from 3
6 731 - 25 48
To help subtract, rearrange the 73 to equal 60 + 13.
13 - 5 = 8 6 - 2 = 4 6(tens) - 2(tens) = 4(tens) Maturing Mathematician
30
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7 851 - 28 57
Rearrange 85 to equal 70 + 15
15 - 8 = 7 7(tens) - 2(tens) = 5(tens)
Rearrange 62 to equal 50 + 12 1 5 62 - 47 15
12 - 7 = 5 5(tens) - 4(tens) = 1(ten)
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Maturing Mathematician
27 - 12
36 - 23
45 - 34
26 - 19
36 - 19
56 - 29
25 - 17
43 - 18
52 - 26
34 - 25
36 - 25
41 - 17
57 - 48
44 - 29
22 - 16
35 - 19
54 - 47
93 - 68
Maturing Mathematician
32
38 - 17 76 - 39
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43 53 -27 -1 8
72 -46
84 -37
92 -27
82 74 62 -58 -39 -37
57 -49
38 40 - 19 -22
32 76 -14 -38
70 84 57 -26 -29 -48
92 -39
74 72 8 1 -38 -25 -65
83 -56
38 - 9
70 8 1 -44 -27
34 82 47 88 -1 6 -27 -39 -29
72 55 -25 -48
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Maturing Mathematician
94 - 72
60 - 23
66 - 40
71 - 21
46 - 25
62 - 53
798 - 229
52 - 16
407 - 121
755 - 2 16
845 - 365
462 - 245
634 873 - 254 - 263
654 - 288
515 -268 Maturing Mathematician
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Why do bees have sticky hair?
....... ....... ....... ....... ....... ....... ....... 366 247 37 480 286 371 247 ....... ....... ....... 286 371 247
....... ....... ....... ....... 619 539 247 569
....... ....... ....... ....... ....... 539 217 9 247 569
....... ....... ....... ....... ....... 37 217 36 366 371 Why do bees hum?
....... ....... ....... ....... 619 539 247 569 ....... ....... ....... 619 539 247
....... ....... ....... ....... ....... 50 217 21 26 371
8 1 6 3 5 7 4 9 2 Mahobe Resources (NZ) Ltd
....... ....... ....... ....... 22 9 217 50
....... ....... ....... ....... 26 217 9 619
....
Each
ds up row ad
.... . . . . . . . ....
to ..
......
ds up
Each
n ad colum
...... . . . . . to
......
ds up
Each 35
l ad a n o g a di
..... . . . . . to
Maturing Mathematician
85 -62
C
T
45 -27
32 -15
A
Maturing Mathematician
E
D
U
46 -22
M
52 -16
I
28 -1 9
88 -45
N
40 -1 3
71 -26
H 36
61 -21
L 44 -36
52 -1 7
S
Mahobe Resources (NZ) Ltd
587 -247
R O
655 -127
G Y
462 -235
622 -347
766 -129
W P
514 -263
....... ....... ....... ....... ....... .......
40 45 227 8 18 275 ....... ....... ....... ....... .......
40 17 18 8 35
....... ....... ....... .......
....... ....... .......
637 45 43 35
18 8 24
....... ....... ....... ....... .......
637 528 340 27 36
....... ....... .......
23 9 251
mm
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Maturing Mathematician
Arithmetic Calculate each sum.
25 + 35
G
I
N
103 + 27
92 - 59
D Maturing Mathematician
26 + 55
T
B
17 + 18
18 + 6
82 - 23
A
U
47 + 44
47 + 23
110 - 70
H
E 38
62 -16
O Mahobe Resources (NZ) Ltd
70 - 41
W
100 - 32
C
51 - 19
S
Why Did The Swimmer NOT Like Training In the Rain? Match the letters with the answers below.
....... ....... ....... ....... 35 40 68 70 ....... ....... ....... 33 130 33 ....... ....... ....... ....... 29 70 81 24
....... ....... ....... ....... ....... 91 32 40 59 40 ....... ....... ....... 81 46 24 ....... ....... ....... ....... ....... 24 46 60 40 24
....... ....... .......! 29 40 24
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Maturing Mathematician
Arithmetic 37 + 43
73 + 18
75 + 25
42 + 69
83 + 45
238 + 47
T
U
A
165 + 93
D
41 - 33
74 - 16
51 - 45
47 + 28
Y75
28 - 9
O
82 - 64
W 84 - 68
F
Maturing Mathematician
P
N
H
E
93 - 59
I
R
56 - 27
M
C
91 - 39
S
40
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Match the letters from the last page with the answer below.
..... ..... ..... ..... ..... 111 8 58 6 58
..... ..... ..... 285 6 58
. .. .. . .. .. . .. .. . .. .. . .... 111 75 91 58 52
..... ..... ..... ..... ..... 111 8 6 58 58
..... ..... 19 16
..... ..... ..... .... 29 285 111 . ..... ..... ..... ..... ..... 8 58 29 285 .. .. . 111 100 34 10..0... ..... ..... 285 80 . .. .. . .. .. . .. .. . .. .. ..... ..... ..... ..... ..... 8 5 2 5 111 8 285 111 111 8 19
..... ..... ..... 34 285 80
..... ..... ..... ..... ..... 34 19 128 80 111
..... ..... ..... 285 80 258
. . . . . . . . . . . . . . ..... .8 285 111 111
..... ..... ..... ..... ..... 111 8 19 52 58
..... ..... ..... ..... 34 285 80 111 Mahobe Resources (NZ) Ltd
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Maturing Mathematician
Arithmetic Use the numbers to complete the addition and subtraction statements below.
100 120 150 240
............+............=220
............-............=50
............+............=270
............-............=30
............+............=340
............-............=20
............+............=250
............-............=120
............+............=360
............-............=140
............+............=390
............-............=90
Maturing Mathematician
42
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MEASURING LINES Write down the length of each line in cm and mm.
5cm 50mm
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Maturing Mathematician
MEASURING Show on the line where each lands
Tank the fish jumps 5 cm
Chopper the rabbit jumps 12 cm
Bert the beetle jumps 3.5 cm
Charlie the cricket jumps 6 cm
Frieda the frog jumps 9.5 cm Maturing Mathematician
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WHAT’S THE TIME?
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5:10 ......................... Ten past ......................... five .........................
......................... ......................... .........................
......................... ......................... .........................
......................... ......................... .........................
......................... ......................... .........................
......................... ......................... .........................
......................... ......................... .........................
......................... ......................... ......................... 45
Maturing Mathematician
Fraction Man is back ...
This square can be divided into 3 parts with 2 parts shaded. Therefore 32 is shaded. Write underneath each shape the fraction that is shaded
....................
....................
....................
....................
....................
....................
Colour the parts of the shapes given.
1 3
4 8 Maturing Mathematician
46
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The shape below is one unit.
Shade in each fraction.
1 half
1 third
1 quarter
1 sixth
2 thirds
3 quarters
4 sixths
2 halves
If this is 1 unit
what fraction of the unit is each of these?
.................... .................... .................... .................... .................... Mahobe Resources (NZ) Ltd
47
Maturing Mathematician
FRACTIONS how many blocks make up this 1 unit?
If this is 1 unit,
......................... What fraction of the unit is each of these?
................................................................................................................ Fill in the missing numbers. 2 fifths +
3
3 quarters +
fifths = 1
3 eighths +
quarters = 1
1 third +
3 tenths +
tenths = 1
3 sixths +
4 ninths +
ninths = 1
1 half +
eighths = 1 third = 1 sixths = 1 half = 1
Draw the whole unit if this is:
1 half 1 quarter 1 third 1 fifth
Maturing Mathematician
48
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FRACTIONS What is the value of each shaded part?
1 unit
....................
....................
....................
....................
....................
....................
....................
....................
.................... Mahobe Resources (NZ) Ltd
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Maturing Mathematician
EQUIVALENT FRACTIONS In the circle put a greater than (>), less than (<) or equal (=) sign. HINT: The fraction blocks on the previous page may help.
1 2 1 6
1 3 1 5
1 10
1 5
2 6 2 3
1 3 3 5
3 4 2 3
1
9 10
1 3
2 3 8 10 3 9
Equivalent fractions are fractions that are the same. Use the diagram to write down the equivalent fractions. .................... .................... .................... .................... .................... Maturing Mathematician
50
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FRACTIONS 20 $1
$1
$1
$1
$1
$1
one
one
one
one
one
one
$1
$1
$1
$1
$1
$1
one
one
one
one
one
20
one
20
Half of $12
= ...................... 50 50 20
10
50 50 10
20
10
Quarter of 80c
= ......................
10
Half of $2.60
= ......................
20
20
20
20
20
Two fifths of $1
50
50
50
50
50
50
= ..................... 50
50
50 Quarter of $6
50
50
Mahobe Resources (NZ) Ltd
= $.....................
50 51
Maturing Mathematician
Arithmetic P
30 +
I
= 100
50
N +
= 90
40
J +
= 60
80
F -
82 + 64
M
47 +
O
= 30
18 +
E 50 -
S
100 -
Maturing Mathematician
G +
95
= 40
Z C
= 70
80 52
= 89 = 90 = 60 = 21 = 80 = 20 Mahobe Resources (NZ) Ltd
K
= 30
55 -
W = 38
33 +
54
H
L -
= 46
= 30
68 -
A
U
= 60
76 -
29 +
R B T
24 Mahobe Resources (NZ) Ltd
= 8
25 -
= 66
62 + = 35 = 12 53
45 +
Y
= 54
Maturing Mathematician
Use your answers from the last two pages to match the letters and complete the jokes.
Doctor Doctor
...... ...... ...... ...... 20 16 30 12 ...... ...... ...... ...... ...... 9 3 16 4 30
...... 70 ...... 10
...... 17 ...... 8
I think I’m a car!
...... ...... 4 25 ...... 50 I’ll be with you in a minute
r o t c o D Doctor .... .. ...... ..10.... 4....0.. 2....6.. 12 38 .. .. .. .. .. .. .. .. .. .. .. .. ...... 3 0 6 10 8 3 2 1
...... 10 ...... 16
! I think I’m a dog
.... .. ...... 5....0.. 5....0.. 3 12 ...... ...... 60 38
a minute in u o y h it w e b ll I’
Maturing Mathematician
54
Mahobe Resources (NZ) Ltd
r o t c o D r Docto ...... ...... 70 16 ...... ...... 12 3
...... ...... 8 8 ...... ...... 26 10
ain! I feel like a curt
.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ...... ...... ..16.... 4 30 10 8 50 9 3 ...... ...... ...... ..4.... 12 38 10 in a minute u o y h it w e b ll I’
Doctor Doctor
I only have 59 seco nds to live!
‘ ...... ...... ...... 7 8 8 ...... ...... ...... 9 3 16 ...... ...... ...... ...... 13 7 40 16 Mahobe Resources (NZ) Ltd
...... ...... 6 10 ...... ...... 7 40 ...... ...... ! 12 10 55
...... ...... ...... ...... 5 7 12 38 ...... 17
Maturing Mathematician
e h t d Fin G N I S MIS S R E B NUM 1 +
6 1 4
2 2 3
+
2 + 3 2 7
9 1 8
1 + 3 2 2
1 2 + 8 3 0
3 7 + 2 5 7
2 7 + 5 5 2
3- 7 - 2 7
3 - 4 3 5
42 - 5 1 7
5 2 46 - 8 - 1 3 4 8
63 -3 2 7
+ 1 4 0 3
4 4
-2 6 2 1
Maturing Mathematician
1 3
56
Mahobe Resources (NZ) Ltd
CRACK THE CODE = 1 = 2 = 3
= 4 = 5 = 6
1
+
2
4
5
+
= 7 = 8 = 9
= 0
+
+
+
+
-
-
-
-
3 -
4 Mahobe Resources (NZ) Ltd
57
Maturing Mathematician
MIGHTY MATHS each each
is worth 5 is worth 3
each each
is worth 2 is worth 10
Use the key above to calculate the values of each shape.
3+2+3 =8 ...................................... ...................................... ......................................
............................................................................................................................ ............................................................................................................................
............................................................................................................................ ............................................................................................................................ Maturing Mathematician
58
Mahobe Resources (NZ) Ltd
COMBINATIONS
POSITION
MORE COMBINATIONS
Label with the correct terms. 1
Choose 1 sandwich and 1 kind of fruit. List the different combinations.
4 SCHOOL
heavier
lighter
2 5
ham sandwich
3
full
apple
There are 5 roads that lead to school. List all the different combinations of routes that can be taken.
empty
1, 4
.........................
tall
short
1, 5
.........................
2, 4 2, 5
3, 4 3, 5
.........................
.........................
.........................
.........................
salad sandwich
258 285 528 582 852 825
Robbie
Ryan
Celine
List the ways in which you can hang the photos
slow
on
fast
beside
Celine Ryan Robbie Robbie Celine Ryan Celine Robbie Ryan Ryan Robbie Celine Robbie Ryan Celine Ryan Celine Robbie ..............................................
..............................................
..............................................
..............................................
..............................................
..............................................
orange
Three numbers are purchased for the mail box. What are the different digit numbers that can be produced from 2, 5 and 8?
large small above
6
5
NUMBER SERIES
ham sandwich, banana ham sandwich, apple ham sandwich, orange salad sandwich, banana salad sandwich, apple salad sandwich, orange
banana
7
ADDITION
NUMBER SERIES
Shade the circles that represent the number 57 then give the answer. Write the largest and smallest numbers that can be formed from these digits. (Repetition of digits is not allowed.)
412 74 5 802 39 6
264 624 462 426 642 246
Smallest
Largest
1 24 457 028 369
42 1 754 820 9 63
Arrange these numbers in ascending order.
246 264 426462624642
105 505 515 550 551 555 857 875 758 578 785 587
555 105 551 550 505 515
702 701, 700 699 705, 704 ............, 703, ............, ............, ............
Shade the circles that represent the number 73 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
Descending order means biggest to smallest.
100 40 60 20 20 40 10 10 10 30
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
adjacent numbers is
66 = 100 34+..........
Shade the circles that represent the number 29 then give the answer.
the number directly above.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
5 5 5 5 25 9
8
32= 100 68+..........
Shade the circles that represent the number 34 then give the answer.
The sum of any two
435 440 445 ............, ............, ............, 450, 455, 460, 465 ............ 850 840 880, 870 ............, 860, ............, ............, 830 ............, 820 ............
27 = 100 73+..........
Shade the circles that represent the number 68 then give the answer.
875 857 785758587578
Complete the calculations.
214 ............, 216 218, 220 210, 212, ............, ............, 222 ............
43 = 100 57+..........
Arrange these numbers in descending order.
256 265 652 625562 526265256 526652 625 562
Complete each number series below.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
Ascending order means smallest to biggest.
71 = 100 29+..........
10
Shade the circles that represent the number 45 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1
55 = 100 45+..........
Shade the circles that represent the number 50 then give the answer.
10 10 10 10 10 1 1 1 1 1 10 10 10 10 1 1 1 1 1 Complete these sums.
40 30 50 70 1 2 5 51
+ 60 .......... = + 70 .......... = + 50 .......... = + 30 .......... = + 99 .......... = + 98 .......... = + 95 .......... = + 49 .......... =
100 100 100 100 100 100 100 100
50 = 100 50+..........
32 + 68 .......... = 100 15 = 100 85 + .......... 3 + 97 .......... = 100 7 + 93 .......... = 100 4 + 96 .......... = 100 23 + 77 .......... = 100 67 + 33 .......... = 100 54 + 46 .......... = 100
11 Mahobe Resources (NZ) Ltd
50
60
70
80
55 + 58 = 50
60
70
96 + 39
80
90
100
113 ............
60
70
80
50
60
70
80
90
100
50
60
70
80
87 + 44 =
130
140
150
50
60
70
80
110
120
130
140
150
50
60
70
80
108 - 41 =
90
100
110
120
130
140
150
50
60
70
80
90
100
110
120
130
140
150
50
60
70
80
78 + 66 = 144 ............
66 + 56 =
120
145 - 56 =
= 135 ............
50
110
122 ............ 90
131 ............
100
120
130
140
150
50
60
70
80
132 - 67 = 13
59
100
110
120
130
140
150
90
100
110
120
130
140
150
90
100
110
120
130
140
150
90
100
110
120
130
140
150
90
100
110
120
130
140
150
67 ............
58 126 - 68 = ............ 149 - 55 =
110
90
89 ............
94 ............ 65 ............
15 Maturing Mathematician
PLACE VALUE
eighty two (ones) five hundred zero (no) tens seven hundred
The value of the digit 8 in the number 483 is ................................... The value of the digit 2 in the number 852 is ................................... The value of the digit 5 in the number 591 is ................................... The value of the digit 0 in the number 307 is ................................... The value of the digit 7 in the number 740 is ...................................
Write these numbers in the correct order.
316
312
315
313
314 579
560 561 577 578 579
..................................................................................
850 853 849 851
one hundred and eleven twelve 3. four hundred and sixty seven 4. three hundred and twenty four 5. thirty two 9. nine hundred and sixty six 10. three hundred and one 11. five hundred and seven 13. twenty two 1.
390 250 389 + 1 =............ 249 + 1 =.................... 300 556 299 + 1 =.................... 546 + 10 =............ 339 171 329 + 10 =.................... 161 + 10 =............ 147 214 - 10 =............ 204 150 - 3 =.................... 131 - 2 =129 2 =579 ............ 581 - ........... 246 10 578 - ........... =568 ............ - 10 =236
2.
1
852
849 850 851 852 853
..................................................................................
1
310 320 330 340 350 360
........................................................................................................................... 568, 573, 578, 583, 588, 593, 598, 603, 608 ...........................................................................................................................
16
4.
3 8
2
6.
6
2
7
7.
4
9.
13.
Write the numbers as words.
three hundred and eighty two one hundred and two ..................................................................................... nineteen six hundred and forty four ..................................................................................... fifty six sixteen ................................................................................. two hundred and ninety one
..................................................................................... 6. ..................................................................................... 11. ................................................................................. 13. .................................................................................. 1.
4. 8.
12.
18
SEQUENCES
SEQUENCES
SEQUENCES
Increase / decrease by 5 to finish each sequence.
Write the numbers in ascending order. (Ascending order means smallest to biggest.)
721 ..........,
717 716 715 714 720, 719, 718, .........., .........., .........., .........., 713 .........., 712
902, 901, 900 .........., 899 .........., 898 .........., 897 .........., 896 .........., 895 .........., 894 .........., 893
811 825 820 803 449 235 204 420 481 838 228 213 403 ........................... 803
1 3 5 1 4 0 1 4 5 15 0 1 5 5 16 0 1 6 5 1 7 0 660 670 675 685 690 695 139 .........., 144 1.......... 49 29 .........., 134 .........., 104, 109, 114, 119, 124, 1.........., 5 31..........,0 305, 300, 295, 290 320, 31 .........., .........., 285 .........., 280 .........., 275 .......... 195 .........., 190 .........., 205 185 180, 175, 170, 165, 160 .........., 200 .........., .........., 125, 130, .........., .........., .........., .........., .........., .........., .........., ..........
650, 655, .........., 665, .........., .........., 680, .........., .........., ..........
836 838 832, 834, .........., .........., 840 .........., 842 .........., 844 .........., 846 .........., 848 .........., 850 .......... 2 51..........,4 51..........,6 51..........8 500, 502 .........., 504 .........., 506 .........., 508 .........., 510, 51 ..........,
712 .........., 710 .........., 704 .......... 714 .........., 708 .........., 706 .........., 702 720, 718, 716, ..........,
674 672 666 .........., 664 662 680, 678, 676, .........., .........., 670 .........., 668 .........., .........., ..........
403 420 449 481
204 213 228 235
........................... ........................... ........................... ...........................
Increase / decrease by 2 to finish each sequence.
214 .........., 216 .........., 218 220 210, 212, .........., .........., 222 .........., 224 .........., 226 .........., 228 ..........
2
12.
Increase / decrease by 1 to finish each sequence.
575 .......... 576 567, 568 .........., 569 .........., 570 .........., 571, 572, 573 .........., 574 .........., ..........,
5.
4
11.
17
315, 316 .........., 317, 318319 .........., .........., 320 .........., 321, 322, 323 .........., 324 ..........
3
3 5 6 1 96 2 0 0 29 1 7 6 10.
370
510 520 530 540 550 560 570 580 590 600 610 518, 523, 528, 533, 538, 543, 548, 553, 558, 563
10
9
........................................................................................................................... 209, 214, 219, 224, 229, 234, 239, 244, 249 ...........................................................................................................................
297, 302, 307, 312, 317, 322, 327 ........................................................................................................................... 332, 337, 342, 347, 352, 357, 362, 367 ...........................................................................................................................
4
3.
2.
1 0
150 160 170 180 190 200 210 220 230 240 250 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204
270 280 290 300 277, 282, 287, 292,
1
1.
8.
312 313 314 315 316 577 578
Write these numbers into the hexanumber.
Start at the dot and continue to add 5 to each number
..................................................................................
561 560
MIGHTY MATHS
Increase / decrease by 10 to finish each sequence.
811 820 825 838
........................... ........................... ........................... ...........................
........................... ........................... ........................... ...........................
Write the largest and smallest numbers that can be formed from each of these digits.
231 251 271 291 301 615 625, 635 555, 565, 575 .........., 585 .........., 595, 605 .........., .........., .........., 645 .......... 737 747, 757 787 .......... 797 707, 717, 727 .........., .........., .........., 767 .........., 777, .........., 910 900 990, 980, 970, 960 .........., 950 .........., 940 .........., 930 .........., 920 .........., .........., 415 405 455, 445, 435, 425 .........., .........., .........., 395, 385, 375 .........., 365 .......... 211, 221, .........., 241, .........., 261, .........., 281, .........., ..........
1
6
4
641 146
........................... ...........................
2 85
3
7
8
9
0
2
852 ........................... 973 ........................... 820 28 258 ........................... 379499 ...........................
........................... ...........................
The number that comes just before 500 is ...............
790 269 270
The number that comes just after 789 is ...............
The numbers between 268 and 271 are ............ and ............
632
18 +7
15
25
6 + 9
26 + 9
28 + 7
35 66 + 9
75
38 + 7
45 86 + 9
15
35
23 + 8
23 + 18
23 + 28
23 + 58
26 + 6
36 + 16
56 + 26
76 + 36
24 + 18
64 + 28
84 + 28
94 + 38
31
32
42
41
52
92
24
705 641 X 142 534 X
51
82
112
Maturing Mathematician
95 81
112
132
47 48 24 36 56 + 27 + 26 + 25 + 37 + 39
51
811 X
448
21
20
19
8 + 7
Cross out the numbers greater than the one in the circle.
28 57 + 2 + 3
34 + 6
71 + 9
45 20 70 + 5 + 30 + 80
30 60
40
62
73
84
95
85
85
85
85
80
120
130
140
150
160
26 + 29
55 + 38
34 + 47
22 + 68
77
99
121
143
165
65 76 54 87 98 + 45 + 56 + 67 + 78 + 89
99
121
143
165
187
36 + 25
29 + 44
56 + 39
27 + 53
49 55 68 94 75 + 62 + 67 + 65 + 69 + 6 1
111
122
133
144
155
17 + 29
56 + 39
42 + 28
35 + 26
38 + 47
85
49 46 66 52 +1 9 + 33 + 39 + 36
83 65 98 74 76 + 37 + 56 + 75 + 74 + 62 88 55 66 77 99 + 22 + 33 + 44 + 55 + 66
25
60
55 61
46
62 + 8
70
50 100 100
93
81
73 95
95
26
70
90
80 61
Mahobe Resources (NZ) Ltd
59
Complete these sums.
PARTITIONING 87 + 57 66 + 55
74 55 + 27 + 68
144
78 + 44
127 + 53
180
101 123 157 65 29 + 93 + 38
122
121
122 103
219 + 74
218 + 15
233
334 + 87
421
92 + 65
165 + 28
189 + 12
255 + 45
295 193
293
104 + 46
150
201 300
319 + 72
65
391
47
50 + 10 + 5 96
80 +
246 + 49
45 - 34
26 - 19
36 - 19
56 - 29
13
38 - 17
21
11
17
76 - 39
27
7
32
10 + 10 + 8 53
50 + 10 + 74
1
40+ 10
60 +
+ 3
89
10 +
43 53 -27 -1 8
72 84 -46 -37
0
74 72 8 1 38 70 8 1 -38 -25 -65 - 9 -44 -27
22 - 16
35 - 19
54 - 47
93 - 68
32
7
25
92 70 84 57 -39 -26 -29 -48
18 38 53 44 55 9
36 47 16 29 26 54 34 82 47 88 72 55 -1 6 -27 -39 -29 -25 -48
18 55 8 59 47 7
37 217 36 366 371
K N....... OW T....... H....... E....... .......Y .......D O ....... ....... ....... ....... ....... T ....... N 50 619 539 247 569
26 217 9
619
22 9
217
T H....... E....... WO ....... ....... ....... S ....... D ....... ....... R 539
619
247
8 6 1 3 7 5 4 2 9
15 15 15
... ........ ........ p to .. adds u w ro Each ..... ........ to .... ds up lumn ad co ch Ea ...... ........ p to .. adds u al n go ia Each d
35 35
Mahobe Resources (NZ) Ltd
37
50
36
26
21
9
619
217
480
539
286
654 - 288
634 873 - 254 - 263
462 - 245
569
371
366
515 -268
247
587 -247
462 -235
766 -129
655 -127
622 -347
514 -263
R340 G227 W637 85 -62
46 -22
61 -21
88 -45
45 -27
52 -16
71 -26
40 -1 3
C 23 E 24 M 40 N 43 T 18 D 36 I 45 L 27
50 217 21 26 371
22
34
....... ....... ....... ....... ....... ....... ....... 366 247 37 480 286 371 247
Why do bees hum?
66 - 40
60 - 23
33
Why do bees have sticky hair?
B E C A U S E T....... H....... E....... .......Y 619 539 247 569 U H Y ....... O ....... N ....... E ....... ....... ....... S ....... E ....... 286 371 247 539 217 9 247 569 CO S ....... ....... M ....... B ....... .......
29
845 - 365
44 - 29
16
100 The sum of any two 30 70 adjacent numbers is 10 20 50 the number directly above. 0 10 10 40
755 - 2 16
57 - 48
6
12
52 - 16
41 - 17
15
20 +
14
407 - 121
24 35 25 8 19 18
36 - 25
9
50 +
798 - 229
32 76 -14 -38
24
18
32
62 - 53
34 - 25
11
64
16
38 40 - 19 -22
37 9
80 +
40 +
11
70 +
46 - 25
52 - 26
26
10
56
71 - 21
43 - 18
25
81
15
94 - 72
25 - 17
8
80 +
13
92 83 -27 -56
16 35 26 47 65 27
82 74 62 57 -58 -39 -37 -49
30 +
95
Complete the calculations.
10 + 4
40 + 10 +
10 +
98
50 9
17
60 + 40
2
28
36 - 23
7
10 +
20 + 10 + 61
27
15
30 +
77
10 + 6 28
70 +
27 - 12
40 + 19 23
Partition these sums.
32 -15
A 17
28 -1 9
44 -36
52 -1 7
U 9 H 8 S35 36
61
O 528 Y 275 P 251
M T .......Y ....... .......I GH ....... ....... ....... M A THS 40 17 18 8 35 W T18 H E ....... .......I NS ....... ....... ....... ....... ....... 637 45 43 35 8 24 W O .......R .......L .......D ....... ....... 637 528 340 27 36 CU ....... ....... .......P 23 9 251 40 45 227 8 18 275 ....... ....... ....... ....... .......
mm
37 Maturing Mathematician
Arithmetic Calculate each sum.
25 + 35
26 + 55
47 + 44
17 + 18
G 60 N 81 B 35 U 91 103 + 27
T 24 A 70
I 130 92 - 59
47 + 23
18 + 6
82 - 23
110 - 70
62 -16
D 33 H 59 E 40 O 46
70 - 41
W 29
100 - 32
C 68
51 - 19
S 32
Why Did The Swimmer NOT Like Training In the Rain? Match the letters with the answers below.
B ....... E ....... CA ....... ....... 35 40 68 70 D .......I ....... D ....... 33 130 33 WA T ....... ....... N ....... ....... 29 70 81 24
H E ....... ....... 91 32 40 59 40 N ....... O ....... ....... T 81 46 24 G ....... E ....... T ....... ....... ....... TO 24 46 60 40 24
Arithmetic 47 + 28
37 + 43
42 + 69
83 + 45
29 40 24
28 - 9
41 - 33
H 8 E 58 R 6
O 19
82 - 64
93 - 59
O ... F ... 19 16
M ... A ... ... H . . . EM 29 285 T ... A ... T ... 111 8 58. . . 29 . . . . .I. A 285 111 10I.0. . 34C .. ... 100 285. N 80 ... .. E ... S ... O T ... H 19 52 58
T ... H ... A ... T ...
111 8
C ... A ... N ... 34 285 80
111 8 285 111
C ... . . . OU ... ... N ... T 34 19 128 80 111
A ... ... N ... D 285 80 258
... T. . . H ... T ... O . . . .S . . .E ... A .. ... H 111 111 8 19 52 58 T 111 8 285 C ... A ... N ... T ...
34 285 80 111
40
100 120 150 240
Use the numbers to complete the addition and subtraction statements below.
120 100 ............+............=220
150 100 ............-............=50
150 120 ............+............=270
150 120 ............-............=30
100 240 ............+............=340
100 120 ............-............=20
150 100 ............+............=250
120 240 ............-............=120
240 120 ............+............=360
240 100 ............-............=140
240 150 6 ............+............=390
MEASURING LINES Write down the length of each line in cm and mm.
5cm 50mm
Show on the line where each lands
0 1 2 3 4 5 6 7 8 9 10 11 12
Tank the fish jumps 5 cm
0 1 2 3 4 5 6 7 8 9 10 11 12
Chopper the rabbit jumps 12 cm
0 1 2 3 4 5 6 7 8 9 10 11 12 Bert the beetle jumps 3.5 cm
0 1 2 3 4 5 6 7 8 9 10 11 12 Charlie the cricket jumps 6 cm
0 1 2 3 4 5 6 7 8 9 10 11 12
Frieda the frog jumps 9.5 cm
44 Maturing Mathematician
9 cm 90 mm 4.5 cm 45 mm
3 cm 30 mm
14 cm 140 mm 7.5 cm 75 mm
16 cm 160 mm
150 240 ............-............=90 42
41
MEASURING
56 - 27
W 18 C 34 M 29
58 111 8 6 58 58
111 75 91
51 - 45
74 - 16
F 16 S 52
.. ... R . . . . . . .E TH . . . .E A . . . . . . ER . . THR . . . . . . . . . EE ... ... 111 8 58 6 58 285 6 .. . . . .S ... E ... P T ... Y 58 52
165 + 93
84 91 - 68 - 39
Arithmetic Match the letters from the last page with the answer below.
238 + 47
T 111 U 128 A285 D258
39
38
I 100
Y 75 N 80 P91
U S ....... E ....... .......
WE T! ....... ....... .......
75 + 25
73 + 18
43 Fraction Man is back ...
WHAT’S THE TIME? 5:10 ......................... Ten past ......................... five .........................
7:30 ......................... Seven ......................... thirty .........................
5:00 ......................... Five oclock ......................... .........................
2:5010 ......................... Ten to ......................... three .........................
1:45 ......................... Quarter ......................... to two .........................
9:00 ......................... Nine oclock ......................... .........................
10:30 ......................... Ten thirty ......................... .........................
11:35 ......................... Eleven ......................... thirty five .........................
45
62
This square can be divided into 3 parts with 2 parts shaded. Therefore 32 is shaded. Write underneath each shape the fraction that is shaded
12 24 12 24
= 21
8 1 24 = 3
= 21
8 1 24 = 3
4 1 24 = 6 3 4
Colour the parts of the shapes given.
1 3
4 8 46
Any 4 parts can be shaded
Mahobe Resources (NZ) Ltd
The shape below is one unit.
FRACTIONS
FRACTIONS how many blocks make up this 1 unit?
If this is 1 unit,
Shade in each fraction.
1 half
1 third
1 quarter
1 sixth
What is the value of each shaded part?
12 blocks
1 unit
....................
1 2 1 3 1 4 1 6 1 12 1 9 1 10 1 5
What fraction of the unit is each of these?
....................
7 6 1 3= 1 12 12 = 2 12 4
9 3 10 5 12 = 4 12= 6
11 12
....................
Fill in the missing numbers. 2 fifths +
3 quarters
2 thirds
3 tenths +
4 sixths
3
3 quarters +
2 halves
4 ninths +
fifths = 1
1 7 5
5 2 3 1
3 eighths +
quarters = 1
1 third +
....................
eighths = 1
third = 1
tenths = 1
3 sixths +
ninths = 1
1 half +
....................
sixths = 1
half = 1
....................
Draw the whole unit if this is:
If this is 1 unit
1 half what fraction of the unit is each of these?
1 2
....................
1 quarter
1 1 4 8
1 third
1 2
5 8
....................
1 fifth
....................
48
47
EQUIVALENT FRACTIONS
49
FRACTIONS
Arithmetic P 30 + 70= 100 I 82 +
20 In the circle put a greater than (>), less than (<) or equal (=) sign. HINT: The fraction blocks on the previous page may help.
1 2 1 6
1 3 1 5
2 6 2 3
1 10
1 5
1
=
1 3 3 5
3 4 2 3
9 10
1 3
2 3 8 10
= 93
$1 one
$1 one
50
55 - 25 = 30
W
5=
38 54
H
68 - 38 = 30
16 =
29 +
-L8 =
B
one
one
$1
$1
one
one
$1 one
$1 one
$1 one
20
$1 one
20
= $6 50 50
50 50 10
20
N
50 + 40 = 90
10
20
10
= $1.30
20
20
20
20
Two fifths of $1
50
50
50
50
50
50
50
50
50
46
17 =
8
= 40c
6=
R
4=
66
35
T
24 - 12 = 12
20
45 +
Y
9
53 Mahobe Resources (NZ) Ltd
= 54
18 +
50
50
60
3=
21
40
95 Z - 15 = 80
100 - 30 = 70
80 - 60 = 20
E
10 =
S
50
13 =
O
80 - 50 = 30 50 -
C
Quarter of $6
= $1.50 52
Use your answers from the last two pages to match the letters and complete the jokes.
tor Doctor DocU ... .R. . S
I feel like a cur
JU ...... ...... S T ......P ...... ......R ......K ...... ...... 20 16 30 12 70 A 17 4 25 ......YO ...... U ...... R ...... S E L ...... ...... ...... ...... F 9 3 16 4 30 10 8 50
I think I’m a car!
I’ll be with you in
tain!
.. . . .F . . .L . . . . . . 4 30 .E .. O . . . .Y 10 8 50 .. L . . . .L . U . .P 16 3 9 8 70 16 8 . . .R. . . . . .E .. H . . .T . . . .E T. . . O. . . G 4 10 38 12 10 26 12 3 in a minute I’ll be with you
a minute
60 62 +
M 47 +
F
Half of $2.60
89
G
J
= 20c
10
7=
64 + 26 = 90
40 + 20 = 60
Quarter of 80c
Doctor Doctor
A
25 -
U 76 -
$1 one
$1
51
K
33 +
one
$1
Half of $12
Equivalent fractions are fractions that are the same. Use the diagram to write down the equivalent fractions.
1 2 .................... 2 4 .................... 3 6 .................... 6 12 .................... 5 10 ....................
$1
Doctor Doctor
Doctor Doctor
I think I’m a dog!
...... ......F ......F E ......T O ...... ...... EN ...... G ...... ...... T......12 3H 50 50 8 10 40 26 10 12 3 C3H ...... ...... ...... ...... U E ......CO ...... ...... T12 3H 8 ...... 8 10 60 3 16 60 I’ll be with you in
54
63
a minute
I only have 59 seco
nds
to live! ‘ . .I. .L . . .L . . . .E .. 7 8 8. .6B 10 .Y . . .OU . . . . . . .I. N ... 9 3 16 7 40 M . . . . .I. N ... T . . . .E 13 7 4. .0. U 16 12 10. . !
W . . . . .I. .T. . H ... 5 7 12 38 A.17. .
55 Maturing Mathematician
1
Find the MISSING NUMBERS 9 24 1 9
6
+
8
+ 9 1 8
1 4
2
2 3 1 2 + 1 7 + 1 8 4 0 3 0
34
+ 3 2 7
3 7 + 20 5 7
+ 3 2 2 2 7
+
25 5 2
39 - 4 3 5
42 - 25 1 7
4 7 5 2 46 -2 6 - 1 8 - 38 2 1 3 4 8
63 -36 2 7
7
4 3
-
2 7
14 1 3
MIGHTY MATHS
CRACK THE CODE = 1 = 2 = 3
= 4 = 5 = 6
= 7 = 8 = 9
= 0
each each
is worth 5 is worth 3
each each
is worth 2 is worth 10
Use the key above to calculate the values of each shape.
1
+
2
4
5
+
+
72
93
3+2+3 =8 ...................................... 23 14 ...................................... ......................................
27 32 28 44 ............................................................................................................................ ............................................................................................................................
+
+
+
14 2
13 0
12 5
3
-
4
47
-
37
-
-
-
-
1 6 47
1 7 1 6
57
56
44 27 48 ............................................................................................................................ ............................................................................................................................ 58
Here is an interesting conundrum called The $30 Meal Three mathematicians share a meal at a restaurant and split the bill. The waiter charges them $30, and they pay $10 each. However, the waiter comes back afterwards and says he has overcharged them and the bill should have only been $25. Of the $5 they are owed, they agree to take $1 each and tip the waiter the remaining $2 to thank him for his honesty. They have now each paid $9 for the meal. However: They originally paid $30. They each end up paying $9. Three nines are $27, plus the $2 which the waiter received is $29. Where did the extra dollar go? $10-$1=$9 $30
$10-$1=$9 $10-$1=$9 ???
$27 +$2 $29
Maturing Mathematician
64
Mahobe Resources (NZ) Ltd
MightY Math MATURING MATHEMATICIAN for 7 - 9 year olds Book 1: Sailing Into Mathematics Builds an awareness of numbers and number relationships. It covers methods of multiplication, number patterns, ordinals and counting up to 1000, adding and subtracting strategies, fractions and money calculations. By the end of this book children will have more confidence when manipulating larger numbers.
Book 2: Sailing On With Mathematics Introduces more number sequences, arithmetic strategies, measurement and fractions. By the end of this book children will have gained confidence with arithmetic and will recognize the value of each digit that makes up a number.
Book 3: Sailing Away With Mathematics Reinforces all the work covered in the previous two Maturing Mathematician books. There are more arithmetic strategies, more fractions and more measurement. By the end of this book children will be confident in their ability to manipulate numbers.
The MIGHTY MATH series is a structured, easy-to-follow series of fun activities designed to stimulate and challenge.
Beginner Mathematician (for 4 - 6 year olds), look for the RED books. Developing Mathematician for (5 - 7 year olds), look for the YELLOW books. Advancing Mathematician for (6 - 8 year olds), look for the BLUE books. Maturing Mathematician for (7 - 9 year olds), look for the GREEN books.
MAHOBE Give your children a powerful head start at school. Make sure any Math book that you purchase has the Mighty Math logo and is published by: Mahobe Resources (NZ) Ltd.
Are you looking to give your child a powerful head start at school?
Introduce your child to mathematics with
Mighty Maths.
This is a structured, easy-to-follow series of fun activities designed to stimulate and challenge the advancing mathematician. This book covers: C number sequences C arithmetic strategies C measurement C fractions By the end of this book, children will have gained confidence with arithmetic and will recognize the value of each digit that makes up a number. Choose Mighty Maths and observe a marked improvement in your child’s mathematical ability. Success and confidence in mathematics will lead to an increase in motivation and an enjoyment of learning.
Mighty Maths reinforces the mathematics that children are studying at school. Study habits begin at home, complement school work and have an enormous impact on future academic achievement.
Mighty Maths Maturing Mathematician for 7 - 9 year olds
BOOK 2
ISBN 1-877216-88-7
9 781877 216886
MAHOBE
