Mathematics Paper 2: reasoning (May 2017) – with hints
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Mathematics
Paper 2 (May 2017): reasoning, with hints
- This test is not timed.
- Hints are available.
- Answers are reviewed after each question.
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completed this test on Saturday, 17-May-25 15:20:29 UTC
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Question 1 of 25
1. Question
1 (a)William asks the children in Year 2 and Year 6 if they walk to school.This graph shows the results.Altogether, how many children don’t walk to school?-
(200)
1 mark(s)Correct
Incorrect
Hint
Add up the light grey columns.
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Question 2 of 25
2. Question
1 (b)William asks the children in Year 2 and Year 6 if they walk to school.This graph shows the results.How many more Year 6 children than Year 2 children walk to school?-
(50)
1 mark(s)Correct
Incorrect
Hint
Compare the heights of the dark grey columns.
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Question 3 of 25
3. Question
2Which number is 10 times greater than nine hundred and seven?-
(9070, 9,070)
1 mark(s)Correct
Incorrect
Hint
When you multiply a number by ten you add a nought to the right. Example: 21 x 10 = 210
Here’s an exception – when there’s a decimal point. 21.5 x 10 = 215.0 NOT 21.50
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Question 4 of 25
4. Question
3Find values for A, B and C to make this multiplication grid correct.-
- A = (7)
- B = (6)
- C = (8)
1 mark(s)Correct
Incorrect
Hint
You’ll need to work out A before you can work out C.
To work out A, use A x 9 = 63. Use your 9 times table, or divide 63 by 9. -
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Question 5 of 25
5. Question
4This table shows the heights of three mountains.How much higher is Mount Everest than the combined height of the other two mountains?Show
your
method-
(1,609, 1609)m
2 mark(s)Correct
Incorrect
Hint
Use a piece of paper, don’t try to do this in your head.
Start by finding the combined height of the other two mountains. -
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Question 6 of 25
6. Question
5Complete this table with the missing numbers.One row has been done for you.-
Number 1,000 more 3,500 4,500 85 (1085, 1,085) (8099, 8,099) 9,099 (14250, 14,250) 15,250
2 mark(s)Correct
Incorrect
Hint
Numbers on the left are 1,000 less than those on the same row on the right.
The comma is placed just after the thousands digit. Example, 3,500 is three thousand five hundred. -
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Question 7 of 25
7. Question
6Write these numbers in order of size, starting with the smallest.-
smallest (0.328) (0.96) (1.253) (1.9)
1 mark(s)Correct
Incorrect
Hint
The numbers that start with a zero are smaller than those that start with a 1; that should narrow down the choice.
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Question 8 of 25
8. Question
7Write the missing numbers.-
60 months = (5) years72 hours = (3) days84 days = (12) weeks
2 mark(s)Correct
Incorrect
Hint
There are 12 months in a year; 24 hours in a day; 7 days in a week.
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Question 9 of 25
9. Question
8At the start of June, there were 1,793 toy cars in the shop.During June,
• 8,728 more toy cars were delivered
• 9,473 toy cars were sold.How many toy cars were left in the shop at the end of June?Show
your
method-
(1048, 1,048)
2 mark(s)Correct
Incorrect
Hint
The decrease in the number of cars in stock is the number of cars sold take away the number of cars delivered. Subtract this decrease from the number in stock at the start.
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Question 10 of 25
10. Question
9Tick two shapes that have 34 shaded.1 mark(s)Correct
Incorrect
Hint
If a shape has 34 shaded, the number of shaded areas in the shape equals the total number of areas times three quarters.
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Question 11 of 25
11. Question
10Round 84,516-
to the nearest 10 (84520, 84,520)to the nearest 100 (84500, 84,500)to the nearest 1,000 (85000, 85,000)
2 mark(s)Correct
Incorrect
Hint
When you round a number, the answer could be higher or it could be lower.
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Question 12 of 25
12. Question
11 (a)Here is a rule for the time it takes to cook a chicken.Cooking time = 20 minutes plus an extra 40 minutes for each kilogramHow many minutes will it take to cook a 3 kg chicken?-
(140, 2 hours 20, 2 hours 20 minutes, 2h 20, 140 minutes, 2:20) minutes
1 mark(s)Correct
Incorrect
Hint
The question asks for the answer in minutes, so there is no need to convert to hours and minutes.
Remember, 1kg means 1 kilogram
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Question 13 of 25
13. Question
11 (b)Here is a rule for the time it takes to cook a chicken.Cooking time = 20 minutes plus an extra 40 minutes for each kilogramWhat is the mass of a chicken that takes 100 minutes to cook?-
(2) kg
1 mark(s)Correct
Incorrect
Hint
Remember that the 100 minutes cooking time includes 40 minutes which is always added in, so start by taking that away to see what’s left.
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Question 14 of 25
14. Question
12Here are diagrams of some 3-D shapes.Tick each shape that has the same number of faces as vertices.2 mark(s)Correct
Incorrect
Hint
Vertices are the points where two or more lines meet. In other words, a corner.
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Question 15 of 25
15. Question
13Ally and Jack buy some stickers.
Ally buys a pack of 12 stickers for £10.49Jack buys 12 single stickers for 99p each.
How much more does Jack pay than Ally?Show
your
method-
£ (1.39, £1.39)
2 mark(s)Correct
Incorrect
Hint
To work out what 12 stickers cost is hard because 12 x 0.99 is not a nice multiplication. But you could do 12 x 1 and then subtract 12 pence (one penny per sticker).
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Question 16 of 25
16. Question
14Amina planted some seeds.For every 3 seeds Amina planted, only 2 seeds grew.Altogether, 12 seeds grew.How many seeds did Amina plant?-
(18, 18:12, 12:18)
1 mark(s)Correct
Incorrect
Hint
We know that 12 seeds grew. The number she planted must be more than 12, as some did not grow. How many more? The ratio of seeds planted to seeds that grow is 3:2
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Question 17 of 25
17. Question
15At the end of a film, the year is given in Roman numerals.Write the year MMVI in figures.-
(2006)
1 mark(s)Correct
Incorrect
Hint
‘Figures’ means digits, for example 2017. Do not write your answer out in words, like ‘two thousand and seventeen’.
And for some weird reason, we don’t use a comma in years. So you would not write 2,017 for the year 2017. -
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Question 18 of 25
18. Question
16Layla completes one-and-a-half somersaults in a dive.How many degrees does Layla turn through in her dive?-
(540)°
1 mark(s)Correct
Incorrect
Hint
One full rotation is 360°.
A half rotation is 180°. -
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Question 19 of 25
19. Question
17Which set of coordinates belongs to the quadrilateral shown on the grid?
Tick one.1 mark(s)Correct
Incorrect
Hint
In coordinate pairs, the x-axis value is first, followed by the y-axis value.
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Question 20 of 25
20. Question
18A cat sleeps for 12 hours each day.50% of its life is spent asleep.
Write the missing percentage.A koala sleeps for 18 hours each day.-
(75)% of its life is spent asleep.
1 mark(s)Correct
Incorrect
Hint
A full day (100%) = 24 hours
A half day (50%) = 12 hours
A quarter of a day (25%) = 6 hours -
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Question 21 of 25
21. Question
19Amina posts three large letters.
The postage costs the same for each letter.
She pays with a £20 note.
Her change is £14.96
What is the cost of posting one letter?Show
your
method-
£ (1.68)
2 mark(s)Correct
Incorrect
Hint
To find out what she spent on posting 3 letters, take away what she has left from the amount she started with. Then you can divide that by three to work out what each letter costs to post.
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Question 22 of 25
22. Question
20Adam says,Adam is correct. Choose the best explanation.Tick one.
1 mark(s)Correct
Incorrect
Hint
To solve this, Adam would have converted the amounts so they are in the same format, either both decimals or both fractions, to allow them to be compared.
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Question 23 of 25
23. Question
21On a map, 1cm represents 20 km.The distance between two cities is 250 km.
On the map, what is the distance between the two cities?Show
your
method-
(12.5)cm
2 mark(s)Correct
Incorrect
Hint
One centimetre on the map is 20km; two centimetres is 40km, and so on right up to 250km.
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Question 24 of 25
24. Question
22Here are two similar right-angled triangles.Write the ratio of side a to side b.-
a :b = (1) : (4)
1 mark(s)Correct
Incorrect
Hint
As the two triangles are similar, the ratio of side a to side b is the same as the ratio of the heights of the two triangles. These are easier to compare.
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Question 25 of 25
25. Question
23In this circle, 1/4 and 1/6 are shaded.What fraction of the whole circle is not shaded?Show
your
method-
(7)/ (12)
2 mark(s)Correct
Incorrect
Hint
For the diagram you can see that one quarter plus two sixths remain unshaded. Two sixths is the same as one third. To add up 1/4 + 1/3 you need to find a common denominator. One way to do this is to multiply the denominators together. 4 x 3 = 12.
So 12 is a common denominator. Now you can convert each part to twelfths. How many twelfths is one quarter? How many twelfths is one-third?
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