2. Look at the following number:
Number and Place Value
Look at the following number:
What does the digit 5 represent?
Divide this number by 100.
Write the new number in words.
What does the digit 7 represent?
Divide this number by 1000.
Write the new number in words.
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3. Look at the following number:
Number and Place Value
Look at the following number:
What does the digit 5 represent? 50 thousand
Divide this number by 100.
Write the new number in words.
Six hundred and seventy nine thousand five hundred and thirty two and fourteen hundredths
What does the digit 7 represent?
7 million
Divide this number by
Write the new number in words.
Sixty seven thousand nine hundred and fifty three and two hundred and fourteen thousandths
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4. Number and Place Value
Put each row of numbers in order from smallest to largest:
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5. Number and Place Value
Put each row of numbers in order from smallest to largest:
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6. MMMMDCCXLIV Number and Place Value
Here is a number written in Roman numerals:
MMMMDCCXLIV
Write this number in figures.
Write the year 2017 in Roman numerals.
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7. MMMMDCCXLIV Number and Place Value
Here is a number written in Roman numerals:
MMMMDCCXLIV
Write this number in figures
Write the year 2017 in Roman numerals. MMXVII
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8. Number and Place Value
The numbers in the following sequence increase by 17. Write the missing numbers:
Calculate the rule for the sequence below:
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9. Answer: double the number or multiply by 2
Number and Place Value
The numbers in the following sequence increase by 17. Write the missing numbers:
Calculate the rule for the sequence below:
Answer: double the number or multiply by 2
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10. Arithmetic - Addition 279 + 38 = 317
Complete the following calculations:
7 643
23 284
Challenge: Using five of the digits from 1 to 9 to make this number sentence true.
= 317
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11. Arithmetic - Addition 279 + 38 = 317
Complete the following calculations: –
7 643
82 351
23 284
70 265
Challenge: Using five of the digits from 1 to 9 to make this number sentence true.
= 317
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12. Arithmetic - Subtraction
Use a written method to calculate the answers to these questions:
– 74.5
14 – 9.38
– 37821
Challenge: Daisy has completed the following calculation. Is she right? Explain your reasoning.
32 – 4 x 6 = 168
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13. Arithmetic - Subtraction
Use a written method to calculate the answers to these questions:
– 74.5 = 62.98
14 – 9.38 = 4.62
– =
Challenge: Daisy has completed the following calculation. Is she right? Explain your reasoning.
32 – 4 x 6 = 168
She is wrong. The correct answer is 8. Using BODMAS, the multiplication is completed first (4x6 =24) then the subtraction (32 – 24 = 8)
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14. Arithmetic - Multiplication
Use a written method to complete the following calculations:
875 x 3
5 x 8.17
54 x 387
Challenge: What are the common factors of these 3 numbers?
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15. Arithmetic - Multiplication
Use a written method to complete the following calculations:
875 x 3 = 2625
5 x 8.17 = 40.85
54 x 387 = 20898
Challenge: What are the common factors of these 3 numbers?
Answer: 1, 3, 9
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16. Arithmetic - Division
Complete the following calculations using a written method:
96 ÷ 4
1598 ÷ 34
3640 ÷ 15
Challenge: Which numbers leave a remainder of 0.5 when divided by 2? Explain your reasoning.
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17. Answer: 285, 8719, 13 285. They are all odd numbers.
Arithmetic - Division
Complete the following calculations using a written method:
96 ÷ 4 = 24
1598 ÷ 34 = 47
3640 ÷ 15 = 242 r 10
Challenge: Which numbers leave a remainder of 0.5 when divided by 2? Explain your reasoning.
Answer: 285, 8719, They are all odd numbers.
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18. Fractions, Decimals and Percentages
Write the two missing values to make these equivalent fractions correct:
4 6
16 24
12 18 = =
Simplify these fractions to their lowest form.
36 81
96 120
72 88
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19. Fractions, Decimals and Percentages
Write the two missing values to make these equivalent fractions correct:
4 6
16 24
12 18 = =
Simplify these fractions to their lowest form.
36 81
96 120
72 88
4 9
4 5
9 11
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20. Fractions, Decimals and Percentages
Complete the following fraction calculations. Change improper fractions to mixed numbers in your answers:
2 5
2 3
3 4
1 6 + +
8 9
1 5
5 7
1 3 _ 1 _ =
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21. Fractions, Decimals and Percentages
Complete the following fraction calculations. Change improper fractions to mixed numbers in your answers:
2 5
2 3
16 15
1 15
3 4
1 6
11 12
or 1 + = + =
8 9
1 5
31 45
5 7
1 3
29 21
8 21 _ 1 _
or 1 = =
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22. Fractions, Decimals and Percentages
Multiply each pair of fractions:
3 4
2 7
2 9
3 5
4 6
3 8 x x x
Divide each fraction by the whole number:
4 9
5 20
7 11 ÷ 4 ÷ 3 ÷ 6
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23. Fractions, Decimals and Percentages
Multiply each pair of fractions:
3 4
2 7
6 28
2 9
3 5
6 45
4 6
3 8
12 48 x x x = = =
Divide each fraction by the whole number:
4 9
4 36
5 20
5 60
7 11
7 66 ÷ 4 = ÷ 3 = ÷ 6 =
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24. Fractions, Decimals and Percentages
Here are some shapes with different sections shaded.
Which shape has exactly shaded?
2 3
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25. Fractions, Decimals and Percentages
Here are some shapes with different sections shaded.
Which shape has exactly shaded?
2 3
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26. Ratio and Proportion
A smoothie is made with 11 strawberries, 18 raspberries and 110ml of almond milk.
Yan uses 33 strawberries. How much of the other ingredients will he need?
Yan makes a smaller smoothie for his little sister. He uses 9 raspberries. How much of the other ingredients will he need?
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27. Ratio and Proportion
A smoothie is made with 11 strawberries, 18 raspberries and 110ml of almond milk.
Yan uses 33 strawberries. How much of the other ingredients will he need?
54 raspberries and 330ml almond milk
Yan makes a smaller smoothie for his little sister. He uses 9 raspberries. How much of the other ingredients will he need?
5.5 strawberries and 55ml almond milk
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28. 6 small triangles have the same mass as 5 larger triangles.
Ratio and Proportion
6 small triangles have the same mass as 5 larger triangles.
The mass of one small triangle is 3.5kg. What is the mass of one large triangle?
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29. 6 small triangles have the same mass as 5 larger triangles.
Ratio and Proportion
6 small triangles have the same mass as 5 larger triangles.
The mass of one small triangle is 3.5kg. What is the mass of one large triangle?
4.2kg
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30. Ratio and Proportion
A length of string is shared equally between 5 people. The length of the string is 4m.
How much does each person receive?
8 children share a super-long strawberry lace between them. They each receive 0.37m of lace.
What was the original length of the lace?
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31. Ratio and Proportion
A length of string is shared equally between 5 people. The length of the string is 4m.
How much does each person receive? 80cm or 0.8m
8 children share a super-long strawberry lace between them. They each receive 0.37m of lace.
What was the original length of the lace? cm or 2.96m
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32. 2q + 8 = 100. What is the value of q?
Algebra
n = 24
x = 17
What is 2n + 9? What is 8² - x? 47
2q + 8 = 100. What is the value of q?
q = 46
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33. 2q + 8 = 100. What is the value of q?
Algebra
n = 24
x = 17
What is 2n + 9? What is 8² - x? 47
2q + 8 = 100. What is the value of q?
q = 46
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34. Algebra
The formula 3n - 4 can be used to calculate the terms in this sequence:
What is the 6th term in the sequence?
What is the 20th term in this sequence?
What is the 100th term in this sequence?
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35. Algebra
The formula 3n - 4 can be used to calculate the terms in this sequence:
What is the 6th term in the sequence?
3 x 6 – 4 = 14
What is the 20th term in this sequence?
3 x 20 – 4 = 56
What is the 100th term in this sequence?
3 x 100 – 4 = 296
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36. Measurement The time on the digital clock is 19:45.
Which analogue clock shows this time?
A film is 145 minutes long. It starts at 15:30. What time does it finish?
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37. Measurement 17:55 The time on the digital clock is 19:45.
Which analogue clock shows this time?
A film is 145 minutes long. It starts at 15:30. What time does it finish?
17:55
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38. Measurement
A tin of tuna weighs 160g. The tins are sold in packs of 4.
How much would 3 packs weigh? Write your answer in kilograms.
Madison swims 17 lengths of a 25m pool each day.
In a seven day week, how far does Madison swim? Give your answer in kilometres.
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39. Measurement
A tin of tuna weighs 160g. The tins are sold in packs of 4.
How much would 3 packs weigh? Write your answer in kilograms.
1.92kg
Madison swims 17 lengths of a 25m pool each day.
In a seven day week, how far does Madison swim? Give your answer in kilometres.
29.75km
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40. Measurement Calculate the area of these triangles. Answers Next 42cm

41. Measurement Calculate the area of these triangles. 777cm² 16.38cm²
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42. Geometry
Look at the picture of the circle and answer the questions below.
What is the name of the outside edge of the circle?
What is the name of the distance across the circle through the centre?
The distance from the centre to any point on the edge?
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43. Geometry
Look at the picture of the circle and answer the questions below.
What is the name of the outside edge of the circle?
Circumference
What is the name of the distance across the circle through the centre?
Diameter
The distance from the centre to any point on the edge?
Radius
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44. Geometry
Calculate the labelled angles in each picture
47° x
140° a
X = 137­° a = 40°
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45. Geometry
Calculate the labelled angles in each picture
47° x
140° a
X = 137­° a = 40°
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46. Statistics 24% get the bus. 2% travel on bike.
The pie chart shows how different children travel to a school.
24% get the bus.
2% travel on bike.
The amount of children walking is the same as the amount of children travelling by car.
What percentage travel by car?
Bus
Walk
Bicycle
Car
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47. Statistics 37% 24% get the bus. 2% travel on bike.
The pie chart shows how different children travel to a school.
24% get the bus.
2% travel on bike.
The amount of children walking is the same as the amount of children travelling by car.
What percentage travel by car?
37%
Bus
Walk
Bicycle
Car
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