##### Mathematics Paper 2: reasoning (May 2017) – with hints

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# Mathematics

## Paper 2 (May 2017):Â reasoning, with hints

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completed this test on Wednesday, 26-Jun-19 05:51:20 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**donâ€™t**walk to school?- (200)

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

Add up the light grey columns.

- 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)CorrectIncorrect##### Hint

Compare the heights of the dark grey columns.

- Question 3 of 25
##### 3. Question

2Which number is 10 times greater than nine hundred and seven?- (9070, 9,070)

1 mark(s)CorrectIncorrect##### 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.Â 21.5 x 10 = 215.0 NOT 21.50

- 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)CorrectIncorrect##### 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. - 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)CorrectIncorrect##### 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. - 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)CorrectIncorrect##### 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. - 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)CorrectIncorrect##### Hint

The numbers that start with a zero are smaller than those that start with a 1; that should narrow down the choice.

- Question 8 of 25
##### 8. Question

7Write the missing numbers.- 60 months = (5) years72 hours = (3) days84 days = (12) weeks

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

There are 12 months in a year; 24 hours in a day; 7 days in a week.

- Question 9 of 25
##### 9. Question

8At the start of June, there were 1,793 toy cars in the shop.During June,

â€¢ 8,728 more toy cars were delivered

â€¢ 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)CorrectIncorrect##### 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.

- Question 10 of 25
##### 10. Question

9Tick two shapes that have 34 shaded.1 mark(s)CorrectIncorrect##### Hint

If a shape has 34 shaded, the number of shaded areas in the shape equals the total number of areas times three quarters.

- 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)CorrectIncorrect##### Hint

When you round a number, the answer could be higher or it could be lower.

- 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)CorrectIncorrect##### 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

- 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)CorrectIncorrect##### 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.

- 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)CorrectIncorrect##### Hint

Vertices are the points where two or more lines meet. In other words, a corner.

- Question 15 of 25
##### 15. Question

13Ally and Jack buy some stickers.

Ally buys a pack of 12 stickers for Â£10.49Jack buys 12 single stickers for 99p each.

How much more does Jack pay than Ally?Show

your

method- Â£ (1.39, Â£1.39)

2 mark(s)CorrectIncorrect##### 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).

- 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)CorrectIncorrect##### 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

- 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)CorrectIncorrect##### 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. - 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)Â°

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

One full rotation is 360Â°.

A half rotation is 180Â°. - Question 19 of 25
##### 19. Question

17Which set of coordinates belongs to the quadrilateral shown on the grid?

Tick**one**.1 mark(s)CorrectIncorrect##### Hint

In coordinate pairs, the x-axis value is first, followed by the y-axis value.

- 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)CorrectIncorrect##### Hint

A full day (100%) = 24 hours

A half day (50%) = 12 hours

A quarter of a day (25%) = 6 hours - Question 21 of 25
##### 21. Question

19Amina posts three large letters.

The postage costs the same for each letter.

She pays with a Â£20 note.

Her change is Â£14.96

What is the cost of posting**one**letter?Show

your

method- Â£ (1.68)

2 mark(s)CorrectIncorrect##### 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.

- Question 22 of 25
##### 22. Question

20Adam says,Adam is correct. Choose the best explanation.Tick

**one**.1 mark(s)CorrectIncorrect##### 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.

- 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)CorrectIncorrect##### Hint

One centimetre on the map is 20km; two centimetres is 40km, and so on right up to 250km.

- 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)CorrectIncorrect##### 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. - Question 25 of 25
##### 25. Question

23In this circle,**1/4**andÂ**1/6**are shaded.What fraction of the whole circle is**not**shaded?Show

your

method- (7)
**/**(12)

2 mark(s)CorrectIncorrect##### 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?