##### Mathematics Paper 1: arithmetic (May 2016) – with hints

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# Mathematics

## Paper 1 (May 2016): 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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#### Results

0 of 36 questions answered correctly

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#### Categories

- Calculations 0%
- Fractions, Decimals, Percentages 0%
- Number and place value 0%
- Ratio and Proportion 0%

completed this test on Wednesday, 26-Jun-19 06:51:10 UTC

Class:

School:

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- Answered
- Review

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

1

- (1,087, 1087)

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

Your answer will have four digits.

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

2

- (350)

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

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

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

3

- (326)

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

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

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

4

- (459)

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

Instead of taking away 9, you may find it easier to take away 10 first and then add one back.

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

5

- (1,221, 1221)

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

The answer box is on the left, but don’t let that bother you because it makes no difference to how you solve the addition.

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

6

- (19)

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

95 is only 5 away from 100. You may already know what 100 divided by 5 is. 95 divided by 5 is one less than that.

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

7

- (97,637, 97637)

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

You can solve this using column addition. But here’s another way. 89,994 is only 6 away from 90,000. Can you add 90,000 + 7,643 and then subtract 6? You might find that easier, or you might not!

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

8

- (405)

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

The answer box is on the left, but don’t let that bother you because it makes no difference to how you solve the subtraction.

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

9

- (24)

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

96 is only 4 away from 100. You may already know what 100 divided by 4 is. 96 divided by 4 is one less than that.

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

10

- (2,637, 2637)

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

Don’t try and work this out in your head. Jot your working down on paper, as there will be less chance of making a mistake.

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

11

- (568)

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

From times tables, do you know the answer to 7 x 8? Then you can easily work out 70 x 8. And then it’s a small step to find 71 x 8.

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

12

- (3,500, 3500)

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

Do you know 5 x 7 from your times tables? Then can you work out 50 x 7? And then 50 x 70?

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

13

- (41,200, 41200)

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

Perhaps start by working out 10 x 412.

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

14

- (9.125)

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

These numbers do not have the same number of digits after the decimal point. Be extra careful when adding them up. It might help you to write 6.12 as 6.120

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

15

- (162)

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

You can tackle this using any method of division you know.

But look. The figure in the units column is a 6.

6 ÷ 3 = 2. This means that the answer must end in a 2. - Question 16 of 36
##### 16. Question

16

- (42.294)

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

When adding up, don’t get into a mess with your columns. Make sure the decimal points line up. It make help you to write 15.98 as 15.980

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

17

- (53.18)

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

When subtracting, make sure the decimal points line up. 72.3 might be better written down as 72.30, so both numbers you’re working with have the same number of digits after the decimal point.

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

18

- (110,457, 110457)

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

It may easier to treat 11,999 as 12,000 – then correct the answer by adding 1.

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

19

- (19)

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

3

^{2}= 3 x 3 - Question 20 of 36
##### 20. Question

20

- (0.09)

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

When you multiply a number by 10, all the digits move one decimal place to the left. And when you divide a number by 10, the digits move one place to the right.

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

21

- (2.85)

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

If you’re doing column subtraction, you’ll need to write 4 as 4.00

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

22

- (110)

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

How well do you know your 12 times table? 10 x 12 = 120, 11 x 12 = ??

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

23

Show

your

method- (3,266, 3266)

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

Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

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

24

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

Example: For one quarter, , enter 1/4- (9/7, 1 2/7, 1+2/7, 1 + 2/7)

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

Four bananas plus five bananas = how many bananas?

And likewise, four sevenths plus five sevenths = how many sevenths? - Question 25 of 36
##### 25. Question

25

- (360)

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 1,800 in this case. Do NOT include the % symbol in your answer.

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

26

- (91.5)

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

If you don’t like multiplying numbers with decimal fractions, you could try this: 15 x 61. The answer will be ten times bigger than than 15 x 6.1, so divide your answer by 10. Or you could try splitting the multiplication up into two parts. Do 15 x 6 and then do 15 x 0.1. (That’s the same as 15 ÷ 10). Then add up the two parts.

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

27

- (1/4, 2/8, 3/12, 4/16, 5/20, 0.25)

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

You can’t add or subtract things that are different, so convert 3/10 into twentieths.

Your answer can be expressed as a fraction, for example 5/7 or as a decimal equivalent, for example 0.75

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

28

Show

your

method- (25)

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

Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

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

29

- (66)

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 440 in this case. Do NOT include the % symbol in your answer.

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

30

Show

your

method- (203,794, 203794)

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

Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

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

31

- (2 1/10, 21/10, 2.1, 2+1/10, 2 + 1/10)

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

Fifths and tenths can’t be added directly, so convert everything to tenths. Give your answer as a fraction

For example 13/10

Or as a whole number plus a fraction, for example 1 3/10

Or if you prefer, your answer can be an exact decimal, for example 1.3

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

32

Show

your

method- (26)

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

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

33

- (1/5, 2/10, 3/15, 0.2)

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

3 bananas divided between three monkeys = 1 banana.

3 fifths ÷ 3 = ?

Express your answer as a fraction, for example 3/4 or as an exact decimal equivalent, e.g. 0.75

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

34

- (56)

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

Use any method you like for this, but here’s a shortcut.

2/5 is the same as 4/10. So the question becomes ‘what is 4 x 14?’, because 140 ÷ 10 = 14.

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

35

- (11/12, 0.916r, 0.91r6)

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

You need a common denominator (a denominator is the number at the bottom of a fraction). You can always find one by multiplying the denominators together. In this question you have denominators 3 and 4. Multiplied together gives 12. So work out the subtraction by first converting all the numbers into twelfths. Remember, 1 = 12/12

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

36

- (53)

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

Which should you deal with first, the – or the ÷ ?

If your answer to the question is 2, start again!