Year 6 Daily Review Term 4 – Master Deck Means
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Year 6 Daily Review Term 4 Master Deck Means of participation Choral response - students give the answer verbally in unison Mini-whiteboard - students write their answer on a mini-whiteboard before showing it to the teacher. Pair share -
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01
Year 6 Daily ReviewTerm 4 – Master Deck<br>
02
Means of participation Choral response - students give the answer verbally in unison
Mini-whiteboard - students write their answer on a mini-whiteboard before showing it to the teacher.
Pair share - Students discuss with the person next to them. 2 At the expected level for the lesson; nearly all students should be able to do these questions.
A small increase in difficulty from the expected level, eg larger numbers or a more complex calculation.
Extension - increased difficulty; suitable for a small number of students.<br>
Mini-whiteboard - students write their answer on a mini-whiteboard before showing it to the teacher.
Pair share - Students discuss with the person next to them. 2 At the expected level for the lesson; nearly all students should be able to do these questions.
A small increase in difficulty from the expected level, eg larger numbers or a more complex calculation.
Extension - increased difficulty; suitable for a small number of students.<br>
03
Write the prime numbers 3 4 2 27 5 12<br>
04
Write the composite numbers 4 3 4 17 16 24<br>
05
Write the composite numbers 5 8 19 23 36 44<br>
06
Write the prime numbers 6 2 7 13 26 29<br>
07
Write the prime numbers 7 3 9 17 24 27<br>
08
Write the composite numbers 8 6 7 15 16 32<br>
09
Use < or > to compare the integers 9 4 > -8 0 > -4 -9 > -2 -35 > -13 -5 > -10 -1 > -11<br>
10
Order the integers in ascending order 10 -3 -5 9 -9 6 -9 -5 -3 6 9<br>
11
Use < or > to compare the integers 11 20 > -21 0 > -12 -4 > -1 -10 > -3 -2 > -13 -23 > -15<br>
12
Order the integers in ascending order 12 0 -5 9 11 -12 -12 -5 0 9 11<br>
13
Order the integers in ascending order 13 1 -3 -9 13 -15 -15 -9 -3 1 13<br>
14
Use < or > to compare the integers 14 8 > -2 5 > -8 -7 > -3 -34 > -12 -7 > -12 -20 > -10<br>
15
Multiplication and division facts 96 ÷ 12 = 72 ÷ 8 = 8 9 12 x 3 = 9 x 9 = 36 81 15 216 ÷ 12 = 18 105 x 8 = 840<br>
16
Multiplication and division facts 8 x 8 = 4 x 9 = 64 36 144 ÷ 12 = 81 ÷ 9 = 12 9 16 45 x 12 = 540 243 ÷ 3 = 81<br>
17
Multiplication and division facts 64 ÷ 8 = 12 ÷ 3 = 8 4 4 x 4 = 9 x 7 = 16 63 17 242 ÷ 11 = 22 115 x 5 = 575<br>
18
Multiplication and division facts 132 ÷ 11 = 96 ÷ 8 = 12 12 12 x 11 = 12 x 8 = 132 96 18 253 ÷ 11 = 23 324 x 3 = 972<br>
19
Multiplication and division facts 11 x 9 = 8 x 6 = 99 48 99 ÷ 9 = 48 ÷ 6 = 11 8 19 416 ÷ 8 = 52 323 x 7 = 371<br>
20
Multiplication and division facts 6 x 11 = 5 x 3 = 66 15 121 ÷ 11 = 84 ÷ 7 = 11 12 20 490 ÷ 70 = 7 387 x 4 = 1548<br>
21
Find the difference between 822 and 45. 777 What is the total of 17 and 84? 101 Multiply 3 and 7 21 Divide 32 by 8 4 21 Addition, subtraction, multiplication and division facts<br>
22
What is the product of 6 and 3? 18 What is the quotient of 84 and 7? 12 What is 3750 minus 500? 3250 Increase 500 by 450 950 22 Addition, subtraction, multiplication and division facts<br>
23
Addition, subtraction, multiplication and division facts What is the total of 14 and 28? 42 What is the quotient of 63 and 9? 7 Divide 72 by 12 6 Subtract 13 from 178 165 23<br>
24
92 = Squared numbers and square root facts 8 x 8 = 64 11 81 What is the square root of 4? = √16 = 2 4 24<br>
25
Square numbers √49 = 112 = What is 1 squared? What is the square root of 81? 7 121 1 9 25<br>
26
102 = Squared numbers and square root facts 7 x 7 = 49 11 100 What is the square root of 36? = √25 = 6 5 26<br>
27
Square numbers √64 = 72 = What is 12 squared? What is the square root of 81? 8 49 144 9 27<br>
28
3246 ÷ 4 811 r 2 28<br>
29
5627 ÷ 8 703 r 3 29<br>
30
296 ÷ 12 24 r 8 30<br>
31
770 ÷ 10 = 46 200 ÷ 100 = 77 462 Solve the division equations 45 000 ÷ 1000 = 45 31<br>
32
640 x 100 = 7560 x 1000 = 64 000 7 560 000 Solve the multiplication equations 1010 x 1000 = 1 010 000 32<br>
33
8 032 000 ÷ 100 = 1500 ÷ 10 = 80 320 150 Solve the division equations 60 000 ÷ 1000 = 60 33<br>
34
Multiply by powers of 10 1589 x 100 000 = 158 900 000 424 x 1000 = 424 000 11 x 100 = 1100 34<br>
35
4 500 200 ÷ 100 = 2733 ÷ 10 = 45 002 273.3 Divide by powers of 10 82 999 ÷ 1000 = 82.999 35<br>
36
158 x 100 = 212 x 10 000 = 15 800 2 120 000 Multiply by powers of 10 472 x 1000 = 472 000 36<br>
37
770 ÷ 10 = 46 200 ÷ 10 000 = 77 4.62 Divide by powers of 10 45 000 ÷ 1000 = 45 37<br>
38
8 032 000 ÷ 100 = 1500 ÷ 10 = 80 320 150 Divide by powers of 10 60 000 ÷ 1000 = 60 38<br>
39
64 x 100 = 756 x 10 000 = 6400 7 560 000 Multiply by powers of 10 101 x 1000 = 101 000 39<br>
40
Complete the equation by using a power of 10 42.1 x _____ = 4210 100 71 x _____ = 71 000 1000 40<br>
41
19 560 200 ÷ _____ = 1956.02 10 000 Complete the equation by using a power of 10 62 378 ÷ _____ = 6237.8 10 41<br>
42
625 x _____ = 6250 10 Complete the equation by using a power of 10 57.5 x _____ = 57 500 1000 42<br>
43
462 000 ÷ _____ = 4620 100 Complete the equation by using a power of 10 7 500 000 ÷ _____ = 7500 1000 43<br>
44
81 x _____ = 810 10 Complete the equation by using a power of 10 680 x _____ = 6 800 000 10 000 44<br>
45
250 000 000 ÷ _____ = 25 000 10 000 Complete the equation by using a power of 10 102 000 ÷ _____ = 10 200 10 45<br>
46
Solve the operation chain using mental computation Start with 7 10 Add 3 Subtract 5 Multiply by 4 Divide by 2 46<br>
47
Solve the operation chain using mental computation Start with 5 6 Multiply by 12 Add 4 Divide by 8 Subtract 2 47<br>
48
Solve the operation chain using mental computation Start with 10 45 Add 12 Subtract 7 Multiply by 6 Divide by 2 48<br>
49
Solve the operation chain using mental computation Start with 150 180 Divide by 5 Add 70 Subtract 40 Multiply by 3 49<br>
50
Solve the operation chain using mental computation Start with 24 20 Subtract 9 Double it Divide by 3 Add 10 50<br>
51
Solve the operation chain using mental computation Start with 18 13 Subtract 4 Double it Divide by 4 Add 6 51<br>
52
Solve the operation chain using mental computation Start with 60 23 Subtract 35 Multiply by 4 Divide by 5 Add 3 52<br>
53
Solve the operation chain using mental computation Start with 30 80 Divide by 6 Add 27 Subtract 12 Multiply by 4 53<br>
54
Solve the operation chain using mental computation Start with 100 10 Add 20 Subtract 70 Multiply by 2 Divide by 10 54<br>
55
Use order of operations to solve the equation 50 – (42 + 2 x 5) = ? 24 55<br>
56
Use order of operations to solve the equation 82 x 4 – 12 – 10 = ? 234 56<br>
57
Use order of operations to solve the equation 42 + (6 x 3) + 3 = ? 37 57<br>
58
Use order of operations to solve the equation 12 + 122 - 50 = ? 106 58<br>
59
Use order of operations to solve the equation (14 x 5) – (22 + 40) = ? 26 59<br>
60
Use order of operations to solve the equation 52 + (18 – 9) – 4 = ? 30 60<br>
61
Complete the number sentence 9 x 5 = 90 ÷ ? 2 61<br>
62
Complete the number sentence ? ÷ 8 = 3 x 5 120 62<br>
63
Complete the number sentence ? ÷ 7 = 4 x 5 140 63<br>
64
Complete the number sentence 9 x 3 = 54 ÷ ? 2 64<br>
65
65 Complete the table and the find the rule 65 Rule: number of sticks = picture number x ____ +_____ How many sticks would be needed for picture 7? How many sticks would be needed for picture 25? 2 1 3 5 7 9 15 sticks 51 sticks Picture 1 Picture 2 Picture 3 Picture 4<br>
66
66 Complete the table and the find the rule 66 Rule: number of sticks = picture number x ____ How many sticks would be needed for picture 10? How many sticks would be needed for picture 21? 5 5 10 15 50 sticks 105 sticks Picture 1 Picture 2 Picture 3<br>
67
67 Complete the table and the find the rule 67 Rule: number of sticks = picture number x ____ + ____ How many sticks would be needed for picture 7? How many sticks would be needed for picture 25? 3 1 4 7 10 22 sticks 76 sticks Picture 1 Picture 2 Picture 3<br>
68
Complete the table and write the rule as a numerical expression 68 1 5 2 8 3 11 Rule:___________________ s = p x 3 + 2 How many sticks would be needed for picture 10? How many sticks would be needed for picture 25? 32 sticks 77 sticks Picture 1 Picture 2 Picture 3<br>
69
Complete the table and write the rule as a numerical expression 69 1 6 2 11 3 16 Rule:___________________ s = p x 5 + 1 How many sticks would be needed for picture 5? How many sticks would be needed for picture 25? 26 sticks 126 sticks Picture 1 Picture 2 Picture 3<br>
70
Complete the table and write the rule as a numerical expression 70 1 12 2 19 3 26 Rule:___________________ s = p x 7 + 5 How many sticks would be needed for picture 6? How many sticks would be needed for picture 20? 47 sticks 145 sticks Picture 1 Picture 2 Picture 3<br>
71
What is the lowest common multiple of 8 and 12? Multiples of 8:
Multiples of 12:
Lowest common multiple: 71 8, 16, 24, 32, 40, 48, 56 12, 24, 36, 48, 60, 72, 84 24<br>
Multiples of 12:
Lowest common multiple: 71 8, 16, 24, 32, 40, 48, 56 12, 24, 36, 48, 60, 72, 84 24<br>
72
What is the lowest common multiple of 7 and 9? Multiples of 7:
Multiples of 9:
Lowest common multiple: 72 7, 14, 21, 28, 35, 42, 49, 56, 63 9, 18, 27, 36, 45, 54, 63, 72 63<br>
Multiples of 9:
Lowest common multiple: 72 7, 14, 21, 28, 35, 42, 49, 56, 63 9, 18, 27, 36, 45, 54, 63, 72 63<br>
73
Green pencils Red pencils Blue pencils Red pencils
10 x 2 = 20
There are 20 red pencils 20 10 Sophie has a collection of coloured pencils. She has twice as many red pencils as blue pencils and three times as many green pencils as red pencils.
If Sophie has a total of 90 coloured pencils, how many pencils of each colour does she have? Blue pencils
90 ÷ 9 = 10
There are 10 Blue pencils 90 Green pencils
10 x 6 = 60
There are 60 green pencils 60 Use bar models to solve the problem<br>
10 x 2 = 20
There are 20 red pencils 20 10 Sophie has a collection of coloured pencils. She has twice as many red pencils as blue pencils and three times as many green pencils as red pencils.
If Sophie has a total of 90 coloured pencils, how many pencils of each colour does she have? Blue pencils
90 ÷ 9 = 10
There are 10 Blue pencils 90 Green pencils
10 x 6 = 60
There are 60 green pencils 60 Use bar models to solve the problem<br>
74
74 Solve the problem using bar models Andy has 552 Lego pieces. Luke has 645 Lego pieces. How many Lego pieces do Andy, Luke and Dani have altogether? ? 552 + 645 + 234 = 1431 Luke’s Lego pieces Andy’s Lego pieces 1431 552 645 Dani has 234 Lego pieces. 234 Dani’s Lego pieces<br>
75
Wooden marbles Glass marbles Metal marbles Glass marbles
10 x 2 = 20
There are 20 glass marbles 20 10 John has 90 marbles.
He has twice as many glass marbles as metal marbles and three times as many wooden marbles as glass marbles.
How many marbles of each type does he have? Metal marbles
90 ÷ 9 = 10
There are 10 metal marbles 90 Wooden marbles
10 x 6 = 60
There are 60 wooden marbles 60 Use bar models to solve the problem<br>
10 x 2 = 20
There are 20 glass marbles 20 10 John has 90 marbles.
He has twice as many glass marbles as metal marbles and three times as many wooden marbles as glass marbles.
How many marbles of each type does he have? Metal marbles
90 ÷ 9 = 10
There are 10 metal marbles 90 Wooden marbles
10 x 6 = 60
There are 60 wooden marbles 60 Use bar models to solve the problem<br>
76
687 1054 – 745 = 309 309 extra non-fiction books were put into the library. 745 ? 1054 Use bar models to solve the problem A public library has 745 non-fiction books and 687 fiction books.
Some extra non-fiction books get brought into the library. There are now 1054 non-fiction books in the library.
How many extra non-fiction books
arrived? New
Non-fiction books Fiction books Non-fiction books<br>
Some extra non-fiction books get brought into the library. There are now 1054 non-fiction books in the library.
How many extra non-fiction books
arrived? New
Non-fiction books Fiction books Non-fiction books<br>
77
$ 210 $100 Bag $20 $30 $30 $30 Cost of 3 t-shirts 30 + 30 + 30 = 90
Coat + t-shirts 90 + 100 = 190
Bag + coat + t-shirts 190 + 20 = 210 Mark spent $210 T-shirt T-shirt T-shirt ? Mark bought 3 t-shirts that cost $30 each, a coat that cost $100 and a bag that cost $20. How much did Mark spend in total? Solve the problem using bar models<br>
Coat + t-shirts 90 + 100 = 190
Bag + coat + t-shirts 190 + 20 = 210 Mark spent $210 T-shirt T-shirt T-shirt ? Mark bought 3 t-shirts that cost $30 each, a coat that cost $100 and a bag that cost $20. How much did Mark spend in total? Solve the problem using bar models<br>
78
Bananas Oranges Apples Oranges
12 x 2 = 24
There are 24 oranges 24 12 A fruit vendor sells apples, oranges, and bananas.
The number of oranges is more than double the number of apples, and the number of bananas is three times the number of oranges. If the vendor has a total of 108 fruits, how many fruits of each type does he have? Apples
108 ÷ 9 = 12
There are 12 apples 108 Bananas
12 x 6 = 72
There are 72 bananas 72 Use bar models to solve the problem<br>
12 x 2 = 24
There are 24 oranges 24 12 A fruit vendor sells apples, oranges, and bananas.
The number of oranges is more than double the number of apples, and the number of bananas is three times the number of oranges. If the vendor has a total of 108 fruits, how many fruits of each type does he have? Apples
108 ÷ 9 = 12
There are 12 apples 108 Bananas
12 x 6 = 72
There are 72 bananas 72 Use bar models to solve the problem<br>
79
134 298 – 134 = 164 164 extra boxes of jeans arrived 234 ? 298 Use bar models to solve the problem A clothing store has a delivery of 234 boxes t-shirts on Monday and 134 boxes of jeans.
On Friday some extra boxes of jeans arrives. There are now 298 boxes of jeans at the store.
How many extra boxes jeans
arrived? Friday delivery
boxes of jeans Monday delivery
boxes of jeans Monday delivery
boxes of t shirts<br>
On Friday some extra boxes of jeans arrives. There are now 298 boxes of jeans at the store.
How many extra boxes jeans
arrived? Friday delivery
boxes of jeans Monday delivery
boxes of jeans Monday delivery
boxes of t shirts<br>
80
Sport stickers Animal stickers Fruit stickers Animal stickers
12 x 2 = 24
There are 24 animal stickers 24 12 Emma has 84 stickers. She has twice as many animal stickers as fruit stickers and twice as many sport stickers as animal stickers.
How many stickers of each type does she have? Fruit stickers
84 ÷ 7 = 12
There are 12 fruit stickers 84 Sport stickers
12 x 4 = 48
There are 48 sport stickers 60 Use bar models to solve the problem<br>
12 x 2 = 24
There are 24 animal stickers 24 12 Emma has 84 stickers. She has twice as many animal stickers as fruit stickers and twice as many sport stickers as animal stickers.
How many stickers of each type does she have? Fruit stickers
84 ÷ 7 = 12
There are 12 fruit stickers 84 Sport stickers
12 x 4 = 48
There are 48 sport stickers 60 Use bar models to solve the problem<br>
81
Purple pencils Orange pencils Green pencils Orange pencils
10 x 2 = 20
There are 20 orange pencils 20 10 Deng has a collection of coloured pencils. He has twice as many orange pencils as green pencils and three times as many purple pencils as orange pencils.
If Deng has a total of 90 coloured pencils, how many pencils of each colour does he have? Green pencils
90 ÷ 9 = 10
There are 10 green pencils 90 Purple pencils
10 x 6 = 60
There are 60 purple pencils 60 Use bar models to solve the problem<br>
10 x 2 = 20
There are 20 orange pencils 20 10 Deng has a collection of coloured pencils. He has twice as many orange pencils as green pencils and three times as many purple pencils as orange pencils.
If Deng has a total of 90 coloured pencils, how many pencils of each colour does he have? Green pencils
90 ÷ 9 = 10
There are 10 green pencils 90 Purple pencils
10 x 6 = 60
There are 60 purple pencils 60 Use bar models to solve the problem<br>
82
60 50c 10c Use bar models to solve the problem How many coins of each denomination does Heather have? $1 ? To work out 50c coins
60 ÷ 2 = 30
30 x 5 = 150
Heather has 150 50c coins 30 150 Heather collected coins. She has sixty 10c coins.
She has half as many $1 coins as 10c coins.
She has five times as many 50c coins as $1 coins. ? To work out $1 coins
60 ÷ 2 = 30
Heather has 30 $1 coins<br>
60 ÷ 2 = 30
30 x 5 = 150
Heather has 150 50c coins 30 150 Heather collected coins. She has sixty 10c coins.
She has half as many $1 coins as 10c coins.
She has five times as many 50c coins as $1 coins. ? To work out $1 coins
60 ÷ 2 = 30
Heather has 30 $1 coins<br>
83
State if the following pairs are equivalent or not equivalent fractions Not equivalent
Equivalent 83<br>
Equivalent 83<br>
84
State if the following pairs are equivalent or not equivalent fractions Equivalent
Not equivalent 84<br>
Not equivalent 84<br>
85
State if the following pairs are equivalent or not equivalent fractions Equivalent
Equivalent 85<br>
Equivalent 85<br>
86
State if the following pairs are equivalent or not equivalent fractions Equivalent
Not equivalent 86<br>
Not equivalent 86<br>
87
State if the following pairs are equivalent or not equivalent fractions Not equivalent
Not equivalent 87<br>
Not equivalent 87<br>
88
State if the following pairs are equivalent or not equivalent fractions Equivalent
Not equivalent 88<br>
Not equivalent 88<br>
89
Convert the mixed number to an improper fraction 89<br>
90
Convert the improper fraction to a mixed number 90<br>
91
Convert the mixed number to an improper fraction 91<br>
92
Convert the improper fraction to a mixed number 92<br>
93
Convert the mixed number to an improper fraction 93<br>
94
Convert the improper fraction to a mixed number 94<br>
95
Convert the mixed number to an improper fraction 95<br>
96
Convert the improper fraction to a mixed number 96<br>
97
Convert the mixed number to an improper fraction 97<br>
98
Convert the improper fraction to a mixed number 98<br>
99
Convert the mixed number to an improper fraction 99<br>
100
Convert the improper fraction to a mixed number 100<br>
101
Simplify this fraction 101<br>
102
Simplify this fraction 102<br>
103
Simplify this fraction 103<br>
104
Simplify this fraction 104<br>
105
Simplify this fraction 105<br>
106
Simplify this fraction 106<br>
107
Rewrite this division into an improper fraction and mixed number 107 31 ÷ 3 = =<br>
108
Rewrite this division into an improper fraction and mixed number 108 34 ÷ 8 = =<br>
109
Rewrite this division into an improper fraction and mixed number 109 21 ÷ 5 = =<br>
110
Rewrite this division into an improper fraction and mixed number 110 17 ÷ 5 = =<br>
111
Rewrite this division into an improper fraction and mixed number 111 32 ÷ 7 = =<br>
112
Rewrite this division into an improper fraction and mixed number 112 47 ÷ 5 = =<br>
113
Emily bought a pizza and divided it into 8 equal slices. She ate 3/8 of the pizza. How many slices did Emily eat? 113 Use bar models to solve the problem Emily ate 3 slices of pizza<br>
114
639 ÷ 3 = 213 charity $639 Peter’s money $213 $213 $213 $213 Value of remaining money 213 x 4 = 852 Total money at first 852 + 68 = 920 Peter had $920 at first $852 $920 Use bar models to solve the problem<br>
115
140 ÷ 4 = 35 dinner $140 Michelle’s money $35 $35 $35 $35 Value of remaining money 35 x 5 = 175 Total starting money 175 + 20 = 195 Michelle started with $195 $35 $195 $175 Use bar models to solve the problem<br>
116
Use bar models to solve the problem Chocolates Mark ate Chocolates left in the box
15 To find how many chocolates Mark had in the beginning: 5 x 5 = 25 Mark started with 25 chocolates<br>
15 To find how many chocolates Mark had in the beginning: 5 x 5 = 25 Mark started with 25 chocolates<br>
117
Use bar models to solve the problem Saturday Sunday
72 pages To find the total number of pages: 18 x 7 = 126 Sam’s book is 126 pages long<br>
72 pages To find the total number of pages: 18 x 7 = 126 Sam’s book is 126 pages long<br>
118
118 Use bar models to solve the problem Tom’s prediction Extra time<br>
119
119 Use bar models to solve the problem Grace’s prediction Extra time<br>
120
120 Use bar models to solve the problem $40 allowance 40 ÷ 5 = 8 8 x 3 = 24 Tom spent $24 on a toy car Tom’s allowance<br>
121
700 ÷ 4 = 175 charity $700 Peter’s money Use bar models to solve the problem $175 $175 $175 $175 Value of remaining money 175 x 5 = 875 Total money at start 875 + 70 = 945 Peter started with $945 $175 $945 $875<br>
122
savings petrol Thiep’s salary $300 Use bar models to solve the problem Value of remaining money 120 x 3 = 360 Total weekly salary 300 + 360 = 660 Thiep’s weekly salary is $660 $660 $360 Money left $120 food<br>
123
Add the following and give your answer as a mixed numeral 123 3, 6, 9, 12… 9, 18, 27…<br>
124
Subtract the following and give your answer as a mixed numeral 4, 8, 12, 16… 12, 24, 36… 124<br>
125
Add the following and give your answer as a mixed numeral 125 5, 10, 15, 20… 15, 30, 45…<br>
126
Subtract the following and give your answer as a mixed numeral 8, 12, 16, 24… 16, 32, 48… 126<br>
127
Add the following and give your answer as a mixed numeral 127 7, 14, 21, 28… 14, 28, 42…<br>
128
Subtract the following and give your answer as a mixed numeral 2, 4, 6, 8… 6, 12, 24… 128<br>
129
Solve the equation using repeated addition 129 = +<br>
130
Solve the equation using repeated addition 130 = + +<br>
131
Complete the table 0.3 30% 5% 0.79 79% 0.05 131<br>
132
Complete the table 0.5 50% 25% 0.2 20% 0.25 132<br>
133
Complete the table 0.5 50% 75% 0.4 40% 0.75 133<br>
134
Complete the table 0.5 50% 25% 0.6 60% 0.25 134<br>
135
Round these decimals to the nearest whole number 2.5
105.3
8.43
67.98 3
105
8
68 135<br>
105.3
8.43
67.98 3
105
8
68 135<br>
136
Round these decimals to one decimal place 4.58
12.39
9.4389
6.912 4.6
12.4
9.4
6.9 136<br>
12.39
9.4389
6.912 4.6
12.4
9.4
6.9 136<br>
137
Round these decimals to the nearest whole number 7.5
655.2
23.33
12.99 8
655
23
13 137<br>
655.2
23.33
12.99 8
655
23
13 137<br>
138
Solve the equations 0.5 x 15 =
0.25 x 20 = 0.75 x 100 = 7.5 5 75 138 0.5 x 25 =
0.25 x 70 =
0.75 x 90 = 12.5 17.5 67.5<br>
0.25 x 20 = 0.75 x 100 = 7.5 5 75 138 0.5 x 25 =
0.25 x 70 =
0.75 x 90 = 12.5 17.5 67.5<br>
139
Solve the equations 0.5 x 20 =
0.25 x 88 =
0.75 x 36 = 10 22 27 139<br>
0.25 x 88 =
0.75 x 36 = 10 22 27 139<br>
140
Which of these are equivalent to 1 ÷ 5? 0.20 50% 20% 0.75 140<br>
141
Which of these are equivalent to 3 ÷ 4? 0.20 75% 20% 0.75 141<br>
142
Which of these are equivalent to 1 ÷ 2? 0.50 50% 20% 0.75 142<br>
143
Solve these decimal equations 0.45 + 0.25 =
0.7 + 0.16 = 0.7
0.86 143<br>
0.7 + 0.16 = 0.7
0.86 143<br>
144
Solve these decimal equations 11.4 - 1.2 =
0.6 - 0.55 = 10.2
0.05 144<br>
0.6 - 0.55 = 10.2
0.05 144<br>
145
Solve these decimal equations 1.5 - 0.3 =
0.9 - 0.05 = 1.2
0.85 145<br>
0.9 - 0.05 = 1.2
0.85 145<br>
146
Solve these decimal equations 1.5 + 0.25 =
0.4 + 0.59 = 1.75
0.99 146<br>
0.4 + 0.59 = 1.75
0.99 146<br>
147
Calculate 50% of: 82 41 147 650 325<br>
148
Calculate 20% of: 80 16 148 325 65 324 64.8<br>
149
Calculate 10% of these numbers 85 8.5 149 670 67 565 56.5<br>
150
Calculate 50% of: 96 48 150 390 195<br>
151
Calculate 10% of these numbers 70 7 151 230 23 475 47.5<br>
152
Calculate 20% of: 30 6 152 255 51 308 61.6<br>
153
There are 30 students in a class and 10% of them are left-handed. How many students are left-handed? Use a bar model to solve the problem. 153 30 ? 3 3 students are left-handed 30 ÷ 10 =<br>
154
There are 50 students in a class and 10% of them have no siblings. How many students have at least one sibling? Use a bar model to solve the problem. 154 50 ? 5 5 students have no siblings 50 ÷ 10 = 45 students have at least one sibling<br>
155
A $200 dress has been discounted by 25%. What is its new price? Use a bar model to solve the problem. 155 25% 25% 25% 25% 200 50 ? The new price is $150 200 - 50 150<br>
156
There are 420 staff and students in a school. 5% of the people are teachers. How many teachers are there? Use a bar model to solve the problem. 156 420 ? 21 people are teachers 10% = 420 ÷ 10 Find 10% before you find 5% 42 5% 5% = 42 ÷ 2<br>
157
There are 40 people in a room and 20% of them are female. How many people are female? Use a bar model to solve the problem. 157 40 ? 4 10% = 4 40 ÷ 10 = 20% = 4 + 4 Find 10% before you find 20% 4 There are 8 females<br>
158
A shirt has been discounted by 25% and its new price is $60. Use a bar model to find its original price. 158 25% 25% 25% 25% 60 20 20 20 ? 20 80 The original price was $80<br>
159
A game has been discounted by 25% and its new price is $120. Use a bar model to find its original price. 159 25% 25% 25% 25% 120 40 40 40 ? 40 160 The original price was $160<br>
160
Emma is 148cm tall. Amy is 0.6 times as tall as Emma. How tall is Amy? Use a bar model to solve the problem. 160 6 tenths 148 ? 14.8 88.8 6 x 14.8 Amy is 88.8cm tall 148 ÷ 10<br>
161
80% of a cup of cordial is water. If the cup holds 200ml, how many ml is the cordial concentrate? 161 200 10% = 20 ml 200 ÷ 10 = 20 80% = 160 ml Find 10% first, before you find 80% There is 40 ml of cordial concentrate 10% 20ml 20 x 8 = 160 200 – 160 = 40 160ml 80% 40ml<br>
162
Ella is baking a cake and she needs 0.8 cups of sugar. 1 cup of sugar is 200g. How many grams of sugar will she need? Use a bar model to solve. 162 8 tenths 200g ? 20 20 20 20 20 20 20 20 20 20 160g 8 x 20 = 160 0.8 cups is 160g<br>
163
Convert into m 500 cm476 cm16.2 cm 5 m4.76 m0.162 m 163<br>
164
Convert into mm 10 cm0.6 cm1.62 cm 100 mm6 mm16.2 mm 164<br>
165
Convert into km 7500 m64 000 m3670 km 7.5 km64 km3.67 km 165<br>
166
Convert all measurements into cm, compare and order from shortest to longest 300 mm5 m280 cm 30 cm500 cm 166 300mm 280cm 5m<br>
167
Convert the following capacities into litres 9000 ml
43 000 ml 9 litres
43 litres 167<br>
43 000 ml 9 litres
43 litres 167<br>
168
Convert the following capacities into cm3 8.5 litres
23 litres 8500 cm3
23 000 cm3 168<br>
23 litres 8500 cm3
23 000 cm3 168<br>
169
Convert the following capacities into millilitres 6 litres
20 litres 6000 ml
20 000 ml 169<br>
20 litres 6000 ml
20 000 ml 169<br>
170
Convert the following capacities into litres. Which is the smallest capacity? 4 litres
9800 ml 4 litres
9.8 litres 170<br>
9800 ml 4 litres
9.8 litres 170<br>
171
Convert the following capacities into grams 8 kg
26 kg 8000 g
26 000 g 171<br>
26 kg 8000 g
26 000 g 171<br>
172
Convert the following capacities into kilograms 5000 g
54 000 g
823 000 g 5 kg54 kg
823 kg 172<br>
54 000 g
823 000 g 5 kg54 kg
823 kg 172<br>
173
Convert the following capacities into tonnes 500kg
23 000kg
89 000kg 0.5 tonnes23 tonnes
89 tonnes 173<br>
23 000kg
89 000kg 0.5 tonnes23 tonnes
89 tonnes 173<br>
174
Convert to grams and order from smallest to largest 50g 1.3kg 1100g 1kg 50g 1kg 1100g 1.3kg 174 50g 1300g 1100g 1000g<br>
175
How many grams is the scale reading? 175 25g 0g 50g 100g 150g<br>
176
How much liquid is in this container? 176 250 ml 1000ml 500ml<br>
177
How long is the rectangle? 177 14cm<br>
178
How much liquid is in this container? 178 500 ml 1000ml 500ml 750ml 250ml<br>
179
How many grams is the scale reading? 179 175g 0g 50g 100g 150g<br>
180
How much liquid is in this container? 180 625 ml 1000ml 500ml<br>
181
Which equation calculates the perimeter? 181 70m 50m (50m + 70m) x 2 50m + 70m 50m x 70m<br>
182
Which equation calculates the perimeter? 182 106mm 30mm 30mm + 106mm 30mm + 106mm (30mm + 106mm) x 2<br>
183
State the unknown side length of the rectangle below if the area is 50mm2 5mm 10mm ? 183<br>
184
Calculate the area of the composite shape 56cm2 3cm 4cm 184 5cm 12cm 12 x 3 = 36
5 x 4 = 20
36 + 20 = 56<br>
5 x 4 = 20
36 + 20 = 56<br>
185
Calculate the area of the parallelogram Area = 21cm2 185 7cm 3cm 12cm 0.08m Area = 96cm2<br>
186
Calculate the area of the parallelogram Area = 63cm2 186 9cm 7cm 9cm 0.05m Area = 45cm2<br>
187
Calculate the area of each triangle 187 CfU Area = 33 cm2 1.5 cm 4 cm Area = 3 cm2<br>
188
Calculate the area of each triangle 188 CfU Area = 18 cm2 2.5 cm 4 cm Area = 5 cm2<br>
189
Calculate the area of each triangle 189 CfU Area = 120 cm2 3m 500 cm Area = 7.5 m2<br>
190
Calculate the area of each triangle 190 CfU Area = 7 cm2 4 cm 5.5cm Area = 11 cm2<br>
191
Calculate the area of each triangle 191 CfU Area = 50 cm2 5 cm 7cm Area = 17.5 cm2<br>
192
Calculate the volume of the rectangular prism 192 CfU 3 cm 5 cm 2 cm = 5 x 2 x 3
= 30 cm3 Volume block edge = 1 cm<br>
= 30 cm3 Volume block edge = 1 cm<br>
193
Calculate the volume of the rectangular prism 193 CfU 4 cm 5 cm 2 cm = 5 x 2 x 4
= 40 cm3 Volume block edge = 1 cm<br>
= 40 cm3 Volume block edge = 1 cm<br>
194
Calculate the volume of the rectangular prism 194 CfU 4 cm 5 cm 3 cm = 5 x 4 x 3
= 60 cm3 Volume block edge = 1 cm<br>
= 60 cm3 Volume block edge = 1 cm<br>
195
Calculate the volume of each prism 2 x 5 x 8 = 80cm3 195 30 x 30 x 50 = 45 000cm3 8 cm 2 cm 5 cm 50 cm 30 cm 30 cm<br>
196
Calculate the volume of each prism 3 x 5 x 10 = 150cm3 196 40 x 20 x 30 = 32 000cm3 10 cm 3 cm 5 cm 40 cm 20 cm 30 cm<br>
197
Calculate the volume of each prism 2 x 4 x 8 = 64cm3 197 10 x 15 x 10 = 1500cm3 2 cm 8 cm 4 cm 10 cm 15 cm 10 cm<br>
198
Calculate the volume of each prism 3 x 4 x 9 = 108cm3 198 60 x 30 x 50 = 90 000cm3 9 cm 3 cm 4 cm 60 cm 30 cm 50 cm<br>
199
Calculate the volume of each prism 3 x 10 x 5 = 150cm3 199 5 x 7 x 3 = 105m3 3 cm 10 cm 5 cm 5 m 700 cm 3 m<br>
200
Calculate the volume of each prism 3 x 5 x 10 = 150cm3 200 40 x 20 x 30 = 24 000cm3 10 cm 3 cm 5 cm 40 cm 20 cm 30 cm<br>
201
Convert the measurements of area 201 square metre - m²
hectare - ha
square kilometre - km 1 ha = 10 000 m²
1 km² = 100 ha
1 km² = 1 000 000 m² 3 ha = _________ m²
5 km² = _________ ha
8 km² = _________ m²
62 000 m² = _________ ha
8 100 000 m² = _________ km² 30 000 500 8 000 000 6.2 8.1<br>
hectare - ha
square kilometre - km 1 ha = 10 000 m²
1 km² = 100 ha
1 km² = 1 000 000 m² 3 ha = _________ m²
5 km² = _________ ha
8 km² = _________ m²
62 000 m² = _________ ha
8 100 000 m² = _________ km² 30 000 500 8 000 000 6.2 8.1<br>
202
How long does the Hip Hop class go for? 202 1 hour and 10 minutes<br>
203
How long will it take me to arrive in Epping from Essendon? 203 1 hour and 20 minutes<br>
204
Estimate, measure and compare the angles 204 100° 160° › A. B. Image credit: Wikimedia Commons<br>
205
Estimate, measure and compare the angles 205 40° 20° › A. B. Image credit: Wikimedia Commons<br>
206
Draw an acute angle using a protractor 206 25° Example: Image credit: Wikimedia Commons<br>
207
Draw an obtuse angle using a protractor 207 170° Example: Image credit: Wikimedia Commons<br>
208
Calculate the unknown complementary angle using addition 208 30° a = 60° a 30° + a = 90° 30° + 60° = 90°<br>
209
Calculate the unknown complementary angle using subtraction 90° - 50° = a
90° - 50° = 40°
a = 40° 209 50° a<br>
90° - 50° = 40°
a = 40° 209 50° a<br>
210
Calculate the unknown complementary angle using subtraction 90° - 24° = a
90° - 24° = 66°
a = 66° 210 24° a<br>
90° - 24° = 66°
a = 66° 210 24° a<br>
211
a = 50° Find the supplementary angle using addition 211 130° + a = 180° 130° + 50° = 180° a 130°<br>
212
Find the supplementary angle using subtraction 212 180° - 40° = 140° 180° - 40° = a a 40° a = 140°<br>
213
a = 28° Find the supplementary angle using addition 213 152° + a = 180° 152° + 28° = 180° a 152°<br>
214
Find the missing angles and give reasons for your answer 214 a = 60° (supplementary angles) a 120° b b = 120° (vertically opposite angles)<br>
215
Find the missing angles and give reasons for your answer 215 a = 20° (complementary) a 70° b b = 235° (angles around a point) 35°<br>
216
Find the missing angles and give reasons for your answer 216 a = 88° (vertically opposite) b 65° 88° b = 29° (angles around a point) a<br>
217
Find the missing angles and give reasons for your answer 217 a = 145° (supplementary angles) a 35° b b = 55° (complementary angles) 35°<br>
218
Find the missing angles and give reasons for your answer 218 a = 110° (supplementary) a 70° b b = 58° (angles around a point) 32°<br>
219
Find the missing angles and give reasons for your answer 219 a = 90° (vertically opposite anges) a 28° b = 62° (vertically opposite and complementary angles) b<br>
220
Write the coordinates of A and B A (2, 7) 220 A B B (5, 4)<br>
221
Plot the coordinates of A and B on the cartesian plane A (4, 3) 221 A B B (1, 6)<br>
222
Write the coordinates for each point 222 (__,__) -2 -3 (__,__) -1 3 (__,__) 2 -4 (__,__) 5 0<br>
223
Write the coordinates for each point 223 (__,__) -5 -5 (__,__) -3 4 (__,__) 5 -2 (__,__) 3 2<br>
224
Write the coordinates for each point 224 (__,__) 2 5 (__,__) 1 0 (__,__) -1 1 (__,__) 0 -4<br>
225
Plot the points on a cartesian plane 225 A B C D A. (__,__) 4 1 B. (__,__) -2 -5 C. (__,__) 0 -2 D. (__,__) -4 5<br>
226
Plot the points on a cartesian plane 226 A B C D A. (__,__) -2 3 B. (__,__) -4 -2 C. (__,__) 3 0 D. (__,__) 4 -4<br>
227
Plot the points on a cartesian plane 227 A B C D A. (__,__) 0 4 B. (__,__) 0 0 C. (__,__) 5 2 D. (__,__) -4 -4<br>
228
Plot the points on a cartesian plane 228 A B C D A. (__,__) 4 -1 B. (__,__) -5 4 C. (__,__) -1 -2 D. (__,__) 3 2<br>
229
Plot the points on a cartesian plane 229 A B C D A. (__,__) 4 -3 B. (__,__) 2 4 C. (__,__) 0 -3 D. (__,__) -3 0<br>
230
Plot the points on a cartesian plane 230 A B C D A. (__,__) -3 3 B. (__,__) 3 3 C. (__,__) 3 -3 D. (__,__) -3 -3<br>
231
Use coordinates to describe the location of the shape on the Cartesian plane 231 coordinates: (-4, 5) coordinates: (3, 0) coordinates: (-4, 0)<br>
232
Use coordinates to describe the location of the shape on the Cartesian plane 232 coordinates: (-3, 0) coordinates: (4, 2) coordinates: (-3, -4) D. coordinates: (4, -4)<br>
233
Use the coordinates to draw the shape on a cartesian plane. What is the shape? 233 (-4, -4)
(-2, 1)
(3, 1)
(3, -4) Trapezium<br>
(-2, 1)
(3, 1)
(3, -4) Trapezium<br>
234
Use the coordinates to draw the shape on a cartesian plane. What is the shape? 234 (-3, 1)
(-1, 4)
(2, 3)
(0, 0) Parallelogram<br>
(-1, 4)
(2, 3)
(0, 0) Parallelogram<br>
235
Assign a decimal value to the following likelihood of an event happening 235 0.2
0.5 You having sport one out of five days
A tossed coin landing on heads<br>
0.5 You having sport one out of five days
A tossed coin landing on heads<br>
236
Assign a fraction to the following likelihood of an event happening 236 A six-sided die landing on two
Blue being chosen out of five different colours<br>
Blue being chosen out of five different colours<br>
237
Assign a percentage to the following likelihood of an event happening 237 50%
10% A tossed coin landing on tails
Your name being chosen out of 10 names<br>
10% A tossed coin landing on tails
Your name being chosen out of 10 names<br>
238
Fruit eaten today in our class
1 fruit = 2 pieces eaten True or false: these graphs show the same data 238 Orange Melon Apple Image credit: Clipart False<br>
1 fruit = 2 pieces eaten True or false: these graphs show the same data 238 Orange Melon Apple Image credit: Clipart False<br>
239
True or false: these graphs show the same data Votes 239 Image credit: Clipart True<br>
240
True or false: these graphs show the same data Number of classes 240 Image credit: Clipart True<br>
241
241 Use the data from the bar model to answer the questions What is 6F’s favourite colour? Yellow What is 6G’s least favourite colour? Orange What colour has the largest difference between classes? Yellow What is the difference between the classes’ responses for green? 3<br>
242
242 Interpret the data to answer the questions: 7am 8am 9am 10am 11am 12pm 1pm 2pm 3pm Time of day Number of coffees sold Coffees sold at the Green Cafe today How many coffees were sold at 3pm? 9 How many coffees were sold between 7am and 9am? 65 What time did the café sell the most coffees? 9am<br>
243
Interpret the data to answer the questions Which month had the lowest rainfall?
How much rainfall was there in April?
What was the difference in rainfall between August and September? December 14mm 11mm 243<br>
How much rainfall was there in April?
What was the difference in rainfall between August and September? December 14mm 11mm 243<br>
244
Interpret the data to answer the questions Which month had the highest average temperature?
What was the lowest average temperature in any month?
How much did the temperature drop between June and July? January 10°C 8°C 244<br>
What was the lowest average temperature in any month?
How much did the temperature drop between June and July? January 10°C 8°C 244<br>
245
Interpret the data to answer the questions How many cupcakes were sold at 1pm?
How many cupcakes were sold in total?
Why do you think there were not many cupcakes sold at between 7am and 8am? 14 98 245<br>
How many cupcakes were sold in total?
Why do you think there were not many cupcakes sold at between 7am and 8am? 14 98 245<br>
246
Interpret the data to answer the questions What was the temperature of the water at 5pm? Why?
How much did the temperature drop between 5pm and 6pm?
Between which hours was the slowest drop in temperature? 100°C. The kettle had just been boiled. 30°C 246 6pm and 7pm<br>
How much did the temperature drop between 5pm and 6pm?
Between which hours was the slowest drop in temperature? 100°C. The kettle had just been boiled. 30°C 246 6pm and 7pm<br>
247
Interpret the data to answer the questions By how many cm did the flower grow between the 7th and the 15th?
What was the fastest rate of growth?
What do you think the height of the sunflower might be on Mon 17th? 5cm 1cm per day 247<br>
What was the fastest rate of growth?
What do you think the height of the sunflower might be on Mon 17th? 5cm 1cm per day 247<br>
248
The following graphs represent the same data 248 Which graph is misleading?
What are the misleading elements?
What might be the purpose and effect of the misleading graph? Graph A A) B) The scale and the title To mislead people into believing that the majority of Australians are born overseas<br>
What are the misleading elements?
What might be the purpose and effect of the misleading graph? Graph A A) B) The scale and the title To mislead people into believing that the majority of Australians are born overseas<br>
249
The following graphs represent the same data 249 Which graph is misleading?
What are the misleading elements?
What might be the purpose and effect of the misleading graph? Graph B A) B) The broken axis and the title To alarm people about the level of sugar intake amongst children<br>
What are the misleading elements?
What might be the purpose and effect of the misleading graph? Graph B A) B) The broken axis and the title To alarm people about the level of sugar intake amongst children<br>
250
Consider the following graphs: 250 Which graph is misleading?
What are the misleading elements?
What might be the purpose and effect of the misleading graph? Graph A A) B) The graph is not to scale To mislead people into thinking that the majority of the survey results were ‘yes’. Yes 15% No 85% Yes 15% No 85%<br>
What are the misleading elements?
What might be the purpose and effect of the misleading graph? Graph A A) B) The graph is not to scale To mislead people into thinking that the majority of the survey results were ‘yes’. Yes 15% No 85% Yes 15% No 85%<br>
251
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ochre.org.au @ochreeducation These materials have been made available to the public under Creative Commons Attribution 4.0 International license. They may be reproduced for non-commercial educational purposes only. With the support of
David Morkunas
Michael McKinnon<br>
ochre.org.au @ochreeducation These materials have been made available to the public under Creative Commons Attribution 4.0 International license. They may be reproduced for non-commercial educational purposes only. With the support of
David Morkunas
Michael McKinnon<br>