Mathematics Paper 1: arithmetic (May 2018) – with hints
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Mathematics
Paper 1 (May 2018): arithmetic, with hints
- This test is not timed.
- Hints are available.
- Answers are checked as you go.
- Overall mark is given at the end.
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- Number and place value 0%
- Ratio and Proportion 0%
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Question 1 of 36
1. Question
1 points1
-
(712)
Correct
Incorrect
Hint
Start by adding up the units, 9 + 3. That's more than 9 so there will be a 10 to carry. -
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Question 2 of 36
2. Question
1 points
2
You can type your answer as a fraction using the ‘forward slash’ key.
Example: For one quarter,
, enter 1/4-
(5/11, 10/22)
Correct
Incorrect
Hint
The denominators are the same (both 11) so you can simply subtract the numerators. Example: 3/7 - 1/7 = 2/7 -
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Question 3 of 36
3. Question
1 points
3
-
(90)
Correct
Incorrect
Hint
It will end in a zero because 2 x 5 = 10. -
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Question 4 of 36
4. Question
1 points
4
-
(838)
Correct
Incorrect
Hint
If you divide something by one, it doesn't change it. -
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Question 5 of 36
5. Question
1 points
5
-
(9)
Correct
Incorrect
Hint
Your 11 times table can help you here. -
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Question 6 of 36
6. Question
1 points
6
-
(200)
Correct
Incorrect
Hint
Do this in two stages: 5 x 4 first and then multiply that by 10. -
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Question 7 of 36
7. Question
1 points
7
-
(6562, 6,562)
Correct
Incorrect
Hint
If you use column subtraction, be sure to line up the columns correctly so the 4 is above the 2. -
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Question 8 of 36
8. Question
1 points
8
-
(46)
Correct
Incorrect
Hint
You'll need to multiply 6 by itself before you add the 10. -
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Question 9 of 36
9. Question
1 points
9
-
(81.08)
Correct
Incorrect
Hint
If you use column addition, be sure to line up the decimal points. It may be helpful to write 24.7 as 24.70. -
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Question 10 of 36
10. Question
1 points
10
-
(308)
Correct
Incorrect
Hint
This is an equation, so if you do the same to both sides, it still balances. If you add 10 to both sides, then the 10 on the left 'disappears', (because 10 - 10 = 0) so you are left with the answer. -
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Question 11 of 36
11. Question
1 points
11
-
(90)
Correct
Incorrect
Hint
Can you divide 27 by 3? -
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Question 12 of 36
12. Question
1 points
12
-
(600)
Correct
Incorrect
Hint
Can you divide 54 by 9? What would you need to do then, to get the answer? -
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Question 13 of 36
13. Question
1 points
13
-
(4)
Correct
Incorrect
Hint
It might help to add up 15 + 15. That gets you halfway to 60. -
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Question 14 of 36
14. Question
1 points
14
-
(4921, 4,921)
Correct
Incorrect
Hint
Don't be confused by the answer box being on the left. You still just have to subtract 855 from 5,776. -
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Question 15 of 36
15. Question
1 points
15
-
(50000, 50,000)
Correct
Incorrect
Hint
There are three parts to 3,050,020. Two parts have been shown to you. What is the third part? -
-
Question 16 of 36
16. Question
1 points
16
-
(4.6)
Correct
Incorrect
Hint
If you use column subtraction then write 10 as 10.0 so you can align the columns. Another way to solve this is to take 6 from 10 and then add back 0.6 (because you were only asked to take 5.4 from 10). -
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Question 17 of 36
17. Question
1 points
17
You can type your answer as a fraction using the ‘forward slash’ key.
Example: For one quarter,, enter 1/4-
(6/7, 12/14, 18/21)
Correct
Incorrect
Hint
The denominators are different so you need to find a common denominator before you can add these fractions. -
-
Question 18 of 36
18. Question
1 points
18
-
(0.001, 1/1000)
Correct
Incorrect
Hint
When you divide a number by a hundred, all the digits shift two places to the right. -
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Question 19 of 36
19. Question
1 points
19
-
(750)
Correct
Incorrect
Hint
You might prefer to divide 1,000 by 4 and then multiply that by 3. -
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Question 20 of 36
20. Question
2 points
20
Show
your
method-
(18,055, 18055)
Correct
Incorrect
Hint
Don't do this in your head, get some paper and write it out. Show your working to your teacher who may give you an extra mark for a correct method, even if you get the answer wrong. -
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Question 21 of 36
21. Question
1 points
21
-
(240)
Correct
Incorrect
Hint
Perhaps work out 10% of 1,200 first, then double that to get 20%. -
-
Question 22 of 36
22. Question
2 points
22
Show
your
method-
(15)
Correct
Incorrect
Hint
Don't do this in your head, get some paper and write it out. Show your working to your teacher who may give you an extra mark for a correct method, even if you get the answer wrong. -
-
Question 23 of 36
23. Question
1 points
23
-
(14)
Correct
Incorrect
Hint
0.5 equals one half. Can you work out half of 28? -
-
Question 24 of 36
24. Question
1 points
24
You can type your answer as a fraction using the ‘forward slash’ key.
Example: For one quarter,, enter 1/4-
(7/10, 0.7, 14/20)
Correct
Incorrect
Hint
The denominators are different so you can't just add the numerators. One way to find a common denominator is to multiply the two denominators together. Example: 1/3 + 1/4. If you multiply the denominators you get 12. Next you multiply the numerators by the right amounts. One-third equals four-twelfths, and one-quarter equals three-twelfths. Now you can add these numerators, to get 4/12 + 3/12 = 7/12. -
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Question 25 of 36
25. Question
1 points
25
You can type your answer as a fraction using the ‘forward slash’ key.
Example: For one quarter,, enter 1/4-
(2 1/2, 5/2, 2.5)
Correct
Incorrect
Hint
You can total up the quarters quite easily, but to add the 1 as well, you need to convert it into quarters too. -
-
Question 26 of 36
26. Question
1 points
26
-
(0.262)
Correct
Incorrect
Hint
If you use column subtraction, you'll need to write 6 as 6.000 so as to line up the columns. -
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Question 27 of 36
27. Question
1 points
27
-
(117)
Correct
Incorrect
Hint
3.9 x 30 is the same as 39 x 3 which somehow seems easier. -
-
Question 28 of 36
28. Question
1 points
28
You can type your answer as a fraction using the ‘forward slash’ key.
Example: For one quarter,, enter 1/4-
(2/3, 4/6, 6/9, 10/15)
Correct
Incorrect
Hint
Can you convert the two-fifths into fifteenths? That's a good place to start. -
-
Question 29 of 36
29. Question
2 points
29
Show
your
method-
(465,518, 465518)
Correct
Incorrect
Hint
Don't do this in your head, get some paper and write it out. Show your working to your teacher who may give you an extra mark for a correct method, even if you get the answer wrong. -
-
Question 30 of 36
30. Question
1 points
30
-
(198)
Correct
Incorrect
Hint
This is the same as taking 1% of 200 away from 200. What is 1% of 200? -
-
Question 31 of 36
31. Question
1 points
31
You can type your answer as a fraction using the ‘forward slash’ key.
Example: For one quarter,, enter 1/4-
(1/8, 2/16, 0.125)
Correct
Incorrect
Hint
You can divide a fraction by multipying the denominator. Example: 1/5 divided by 2 equals 1/10 -
-
Question 32 of 36
32. Question
1 points
32
-
(77)
Correct
Incorrect
Hint
You have to work this out in the right order. Division must be carried out before subtraction, when there are no brackets to tell you otherwise. -
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Question 33 of 36
33. Question
1 points
33
-
(60)
Correct
Incorrect
Hint
Think of this as 40 plus a half of 40. -
-
Question 34 of 36
34. Question
1 points
34
-
(182)
Correct
Incorrect
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 650 in this case. Do NOT include the % symbol in your answer. -
-
Question 35 of 36
35. Question
1 points
35
You can type your answer as a fraction using the ‘forward slash’ key.
Example: For one quarter,, enter 1/4-
(2 17/21, 59/21)
Correct
Incorrect
Hint
Thirds and sevenths can't be added or subtracted as they are so find a common denominator. -
-
Question 36 of 36
36. Question
2 points
36
Show
your
method-
(91)
Correct
Incorrect
Hint
Don't do this in your head, get some paper and write it out. Show your working to your teacher who may give you an extra mark for a correct method, even if you get the answer wrong. -
, enter 1/4
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