##### Mathematics Paper 1: arithmetic (May 2017) – with hints

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# Mathematics

## Paper 1 (May 2017): arithmetic, with hints

- This test is not timed.
- Hints are available for each question.
- Answers are marked as you go.
- Questions and answers can be reviewed at the end.

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- Fractions, Decimals, Percentages 0%
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completed this test on Wednesday, 26-Jun-19 06:01:33 UTC

Class:

School:

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- Answered
- Review

- Question 1 of 36
##### 1. Question

1

- (1,040, 1040)

1 mark(s)CorrectIncorrect##### Hint

Your answer will have four digits.

- Question 2 of 36
##### 2. Question

2

- (2525, 2,525)

1 mark(s)CorrectIncorrect##### Hint

If you use column addition, don’t forget the carry.

- Question 3 of 36
##### 3. Question

3

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (7/6, 1 1/6)

1 mark(s)CorrectIncorrect##### Hint

When the denominators are the same, you can add the numerators.

Example: 8/11 + 5/11 = 13/11

- Question 4 of 36
##### 4. Question

4

- (505)

1 mark(s)CorrectIncorrect##### Hint

If you divide something by one, it doesn’t change it.

- Question 5 of 36
##### 5. Question

5

- (285)

1 mark(s)CorrectIncorrect##### Hint

Will the answer be less than 300? How much less?

- Question 6 of 36
##### 6. Question

6

- (5.714)

1 mark(s)CorrectIncorrect##### Hint

If you use column addition, make sure to line up the decimal points.

- Question 7 of 36
##### 7. Question

7

- (5100, 5,100)

1 mark(s)CorrectIncorrect##### Hint

The answer box is on the left, but donâ€™t let that bother you because it makes no difference to how you solve the addition.

- Question 8 of 36
##### 8. Question

8

- (264)

1 mark(s)CorrectIncorrect##### Hint

You’ll need to add up 8 x 3 and 8 x 30. 8 x 30 is 10 times bigger than 8 x 3.

- Question 9 of 36
##### 9. Question

9

- (8)

1 mark(s)CorrectIncorrect##### Hint

Your 9 times table will come in handy here.

- Question 10 of 36
##### 10. Question

10

- (668)

1 mark(s)CorrectIncorrect##### Hint

Jot your working down on paper, as there will be less chance of making a mistake. Start with 7 x 4.

- Question 11 of 36
##### 11. Question

11

- (4,088, 4088)

1 mark(s)CorrectIncorrect##### Hint

If you use column subtraction, the columns should line up on the right, so the 2 is above the 4.

- Question 12 of 36
##### 12. Question

12

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (24/100, 12/50, 6/25, 0.24)

1 mark(s)CorrectIncorrect##### Hint

62 bananas take away 38 bananas = ?

- Question 13 of 36
##### 13. Question

13

- (1159, 1,159)

1 mark(s)CorrectIncorrect##### Hint

Add 100 to both sides of the equation. The two sides will still balance, leaving the answer by itself on the left.

- Question 14 of 36
##### 14. Question

14

- (56)

1 mark(s)CorrectIncorrect##### Hint

The brackets mean you should do that part first.

- Question 15 of 36
##### 15. Question

15

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (2/5, 4/10, 6/15, 12/30, 0.4)

1 mark(s)CorrectIncorrect##### Hint

Another way to write this would be (4 x 3) / (6 x 5)

- Question 16 of 36
##### 16. Question

16

- (1,200, 1200)

1 mark(s)CorrectIncorrect##### Hint

Another way to write this is:Â 3 x 10 x 4 x 10. You can change the order, to get 3 x 4 x 10 x 10. Now it should be quite easy.

- Question 17 of 36
##### 17. Question

17

- (83)

1 mark(s)CorrectIncorrect##### Hint

You can’t divide 5 by 7, but you can start by dividing 58 by 7.

- Question 18 of 36
##### 18. Question

18

- (0.004)

1 mark(s)CorrectIncorrect##### Hint

When you divide a number by ten, all the digits shift one place to the right.

- Question 19 of 36
##### 19. Question

19

- (2345000, 2,345,000)

1 mark(s)CorrectIncorrect##### Hint

When you multiply a number by 10, all the digits moved one place to the left. How many places would they need to move when you multiply by 1,000? Hint: Count the zeros.

- Question 20 of 36
##### 20. Question

20

Show

your

method- (42)

2 mark(s)CorrectIncorrect##### Hint

You can’t divide 17 into 7, so start by dividing 17 into 71. That will give you the first digit of your answer.

Jot down your method on a piece of paper. In the real test, your method may get you a mark, even if your answer is wrong.

- Question 21 of 36
##### 21. Question

21

- (5.55)

1 mark(s)CorrectIncorrect##### Hint

If you’re doing column subtraction, you’ll need to write 9 as 9.00

- Question 22 of 36
##### 22. Question

22

Show

your

method- (109963, 109,963)

2 mark(s)CorrectIncorrect##### Hint

Show your method on a separate sheet of paper. In the real test, if you were to make a mistake, you could still get one mark if your method was correct.

- Question 23 of 36
##### 23. Question

23

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (3/8, 0.375, 6/16, 9/24, 12/32)

1 mark(s)CorrectIncorrect##### Hint

You can’t subtract things that are different. Can you turn the quarters into eighths?

- Question 24 of 36
##### 24. Question

24

Show

your

method- (19228, 19,228)

2 mark(s)CorrectIncorrect##### Hint

Show your method on a separate sheet of paper. In the real test, if you were to make a mistake, you could still get one mark if your method was correct.

- Question 25 of 36
##### 25. Question

25

- (23.129)

1 mark(s)CorrectIncorrect##### Hint

When subtracting decimal numbers, it helps if both numbers have the same number of digits after the decimal point, so write 37.8 as 37.800

- Question 26 of 36
##### 26. Question

26

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (11/20, 22/40, 44/80, 55/100, 0.55)

1 mark(s)CorrectIncorrect##### Hint

You’ll need to make the denominators all the same so that you can add up the parts of the sum.

- Question 27 of 36
##### 27. Question

27

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (1/5, 2/10, 4/20, 0.2)

1 mark(s)CorrectIncorrect##### Hint

Four bananas divided between four gives you 1 banana each. So four fifths divided by four equals…?

- Question 28 of 36
##### 28. Question

28

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (5/16, 0.3125)

2 mark(s)CorrectIncorrect##### Hint

Instead of trying to divide the numerator (the 5) by 2, you can multiply the denominator (the 8) by 2, for the same result.

- Question 29 of 36
##### 29. Question

29

- (207)

1 mark(s)CorrectIncorrect##### Hint

A percentage is a fraction of 100. Example: 30% as a fraction is 30/100. 30% as a decimal is 0.3. First, write the percentage as a fraction or a decimal, then multiply by the quantity, which is 460Â in this case. Do NOT include the % symbol in your answer.

- Question 30 of 36
##### 30. Question

30

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (3 1/6, 19/6)

2 mark(s)CorrectIncorrect##### Hint

You can’t add thirds and sixths directly together so first you need to convert them to sixths.

- Question 31 of 36
##### 31. Question

31

- (35)

1 mark(s)CorrectIncorrect##### Hint

A percentage is a fraction of 100. Example: 30% as a fraction is 30/100. 30% as a decimal is 0.3. First, write the percentage as a fraction or a decimal, then multiply by the quantity, which is 500 in this case. Do NOT include the % symbol in your answer.

- Question 32 of 36
##### 32. Question

32

- (5/24, 10/48, 0.2083r)

2 mark(s)CorrectIncorrect##### Hint

You can’t subtract two different things – sixths and eighths are different things – so start by finding a common denominator. One way to do that is to multiply the denominators together.

- Question 33 of 36
##### 33. Question

33

- (180)

1 mark(s)CorrectIncorrect##### Hint

Will the answer be greater than or less than 200?

- Question 34 of 36
##### 34. Question

34

- (150)

1 mark(s)CorrectIncorrect##### Hint

A percentage is a fraction of 100. Example: 25% as a fraction is 25/100. 25% as a decimal is 0.25. First, write the percentage as a fraction or a decimal, then multiply by the quantity, which is 1,000 in this case. Do NOT include the % symbol in your answer.

- Question 35 of 36
##### 35. Question

35

You can type your answer as a fraction using the ‘forward slash’ key.

Example: For one quarter, , enter 1/4- (85 1/2, 85.5, 171/2)

1 mark(s)CorrectIncorrect##### Hint

You could solve this by adding up 57 and a half of 57.

Or you could think of ‘one and a half’ as ‘three divided by two’. So then the question is 3 X 57 / 2. - Question 36 of 36
##### 36. Question

36

Show

your

method- (38)

2 mark(s)CorrectIncorrect##### Hint

Show your method on a separate sheet of paper. In the real test, if you were to make a mistake, you could still get one mark if your method was correct.