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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0 of 36 questions answered correctly
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- Calculations 0%
- Fractions, Decimals, Percentages 0%
- Number and place value 0%
- Ratio and Proportion 0%
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completed this test on Saturday, 17-May-25 16:27:26 UTC
Class:
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- Answered
- Review
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Question 1 of 36
1. Question
1
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(1,087, 1087)
1 mark(s)Correct
Incorrect
Hint
Your answer will have four digits.
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Question 2 of 36
2. Question
2
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(350)
1 mark(s)Correct
Incorrect
Hint
If you use column addition, don’t forget the carry.
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Question 3 of 36
3. Question
3
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(326)
1 mark(s)Correct
Incorrect
Hint
If you divide any number by one, it doesn’t change it.
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Question 4 of 36
4. Question
4
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(459)
1 mark(s)Correct
Incorrect
Hint
Instead of taking away 9, you may find it easier to take away 10 first and then add one back.
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Question 5 of 36
5. Question
5
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(1,221, 1221)
1 mark(s)Correct
Incorrect
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.
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Question 6 of 36
6. Question
6
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(19)
1 mark(s)Correct
Incorrect
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.
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Question 7 of 36
7. Question
7
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(97,637, 97637)
1 mark(s)Correct
Incorrect
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!
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Question 8 of 36
8. Question
8
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(405)
1 mark(s)Correct
Incorrect
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.
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Question 9 of 36
9. Question
9
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(24)
1 mark(s)Correct
Incorrect
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.
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Question 10 of 36
10. Question
10
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(2,637, 2637)
1 mark(s)Correct
Incorrect
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.
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Question 11 of 36
11. Question
11
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(568)
1 mark(s)Correct
Incorrect
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.
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Question 12 of 36
12. Question
12
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(3,500, 3500)
1 mark(s)Correct
Incorrect
Hint
Do you know 5 x 7 from your times tables? Then can you work out 50 x 7? And then 50 x 70?
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Question 13 of 36
13. Question
13
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(41,200, 41200)
1 mark(s)Correct
Incorrect
Hint
Perhaps start by working out 10 x 412.
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Question 14 of 36
14. Question
14
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(9.125)
1 mark(s)Correct
Incorrect
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
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Question 15 of 36
15. Question
15
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(162)
1 mark(s)Correct
Incorrect
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. -
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Question 16 of 36
16. Question
16
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(42.294)
1 mark(s)Correct
Incorrect
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
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Question 17 of 36
17. Question
17
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(53.18)
1 mark(s)Correct
Incorrect
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.
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Question 18 of 36
18. Question
18
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(110,457, 110457)
1 mark(s)Correct
Incorrect
Hint
It may easier to treat 11,999 as 12,000 – then correct the answer by adding 1.
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Question 19 of 36
19. Question
19
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(19)
1 mark(s)Correct
Incorrect
Hint
32 = 3 x 3
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Question 20 of 36
20. Question
20
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(0.09)
1 mark(s)Correct
Incorrect
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.
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Question 21 of 36
21. Question
21
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(2.85)
1 mark(s)Correct
Incorrect
Hint
If you’re doing column subtraction, you’ll need to write 4 as 4.00
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Question 22 of 36
22. Question
22
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(110)
1 mark(s)Correct
Incorrect
Hint
How well do you know your 12 times table? 10 x 12 = 120, 11 x 12 = ??
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Question 23 of 36
23. Question
23
Show
your
method-
(3,266, 3266)
2 mark(s)Correct
Incorrect
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.
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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
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(9/7, 1 2/7, 1+2/7, 1 + 2/7)
1 mark(s)Correct
Incorrect
Hint
Four bananas plus five bananas = how many bananas?
And likewise, four sevenths plus five sevenths = how many sevenths? -
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Question 25 of 36
25. Question
25
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(360)
1 mark(s)Correct
Incorrect
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.
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Question 26 of 36
26. Question
26
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(91.5)
1 mark(s)Correct
Incorrect
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.
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Question 27 of 36
27. Question
27
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(1/4, 2/8, 3/12, 4/16, 5/20, 0.25)
1 mark(s)Correct
Incorrect
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
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Question 28 of 36
28. Question
28
Show
your
method-
(25)
2 mark(s)Correct
Incorrect
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.
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Question 29 of 36
29. Question
29
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(66)
1 mark(s)Correct
Incorrect
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.
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Question 30 of 36
30. Question
30
Show
your
method-
(203,794, 203794)
2 mark(s)Correct
Incorrect
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.
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Question 31 of 36
31. Question
31
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(2 1/10, 21/10, 2.1, 2+1/10, 2 + 1/10)
1 mark(s)Correct
Incorrect
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
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Question 32 of 36
32. Question
32
Show
your
method-
(26)
2 mark(s)Correct
Incorrect
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.
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Question 33 of 36
33. Question
33
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(1/5, 2/10, 3/15, 0.2)
1 mark(s)Correct
Incorrect
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
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Question 34 of 36
34. Question
34
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(56)
1 mark(s)Correct
Incorrect
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.
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Question 35 of 36
35. Question
35
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(11/12, 0.916r, 0.91r6)
1 mark(s)Correct
Incorrect
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
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Question 36 of 36
36. Question
36
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(53)
1 mark(s)Correct
Incorrect
Hint
Which should you deal with first, the – or the ÷ ?
If your answer to the question is 2, start again!
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