Date: Time: Total marks available: Total marks achieved:Jun 06, 2015 · Q3. * Barbara goes on...

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Questions 1-11 Non Calculator Questions 12-21 Calculator

Questions Q1.

(a) Simplify a + a + a + a

.............................................................................................................................................. (1)

(b) Simplify 3 × c × d

.............................................................................................................................................. (1)

(c) Simplify 3ef + 5ef – ef

.............................................................................................................................................. (1)

(d) Solve 6g = 18

g = . . . . . . . . . . . . . . . . . . (1)

(e) Solve 5h + 7 = 17

h = . . . . . . . . . . . . . . . . . . (2)

(Total for Question is 6 marks)

Q2.

The table shows the minimum distance and the maximum distance people should sit from different sized TV screens when watching TV.

TV screen size (inches)

Minimum distance (feet)

Maximum distance (feet)

28 3.5 7

30 3.75 7.5

32 4 8

36 4.5 9

38 4.75 9.5

40 5 10

42 5.25 10.5

James has a TV with a screen size of 32 inches. He is going to watch his TV.

(a) What is the minimum distance James should sit from the screen?

. . . . . . . . . . . . . . . . . . . . . . feet

(1)

Sheraz has a TV with a screen size of 38 inches. He is going to watch his TV.

(b) Work out the difference between the minimum distance and the maximum distance Sheraz should sit from the screen.

. . . . . . . . . . . . . . . . . . . . . . feet

(2)

You can use this rule to work out the maximum distance to sit from a TV screen.

Clare has a TV with a screen size of 24 inches. She is going to watch her TV.

(c) Use the rule to work out the maximum distance Clare should sit from the screen.

. . . . . . . . . . . . . . . . . . . . . . feet

(1)

Richard should sit a maximum distance of 12 feet from his screen.

(d) Work out the screen size of Richard's TV.

. . . . . . . . . . . . . . . . . . . . . . inches

(2)


Q3.

* Barbara goes on holiday to Prague. The currency in Prague is the Koruna (KC).

This graph can be used to convert between £ (pounds) and KC (Koruna). The exchange rate is £1 = 30 KC.

Barbara bought some things in London. She saw the same things on sale in Prague.

The table shows the cost in £ (pounds) and the cost in KC (Koruna).

Barbara thinks the total cost of these things was more in London than in Prague.

Is she correct? Give a reason for your answer. You must show all your working.

Q4.

On the grid, draw the graph of y = 4x + 2 from x = –1 to x = 3


Q5.

The diagram shows a garden in the shape of a rectangle.

All measurements are in metres. The perimeter of the garden is 32 metres.

Work out the value of x

. . . . . . . . . . . . . . . . . . . . . .


Q6.

The exchange rate for pounds (£) to euros (€) is £1 = €1.20

(a) Complete the table of values.

£ 0 1 5 10 15 20 25 30

€ 1.20 6 24 30

(2) (b) On the grid, draw a conversion graph for pounds (£) to euros (€).

Louise changes £250 into euros.

(c) Work out how many euros Louise should get.

. . . . . . . . . . . . . . . . . . . . . . euros

(2)


Q7.

Here are the first four terms of an arithmetic sequence.

5 9 13 17

(a) What is the next term of this sequence?

.............................................................................................................................................. (1)

(b) Write down an expression, in terms of n, for the nth term of the sequence.

.............................................................................................................................................. (2)


Q8. The diagram shows shape A. All the measurements are in centimetres.

(a) Find an expression, in terms of x, for the perimeter of shape A.

. . . . . . . . . . . . . . . . . . . . .

(3)

A square has the same perimeter as shape A.

(b) Find an expression, in terms of x, for the length of one side of this square.

. . . . . . . . . . . . . . . . . . . . .

(1)


Q9.

Here are the first four patterns in a sequence. Each pattern is made from squares and circles.

Pattern number 1

Pattern number 2

Pattern number 3

Pattern number 4

(a) How many squares are there in the pattern with exactly 14 circles?

. . . . . . . . . . . . . . . . . . . . . .

(2)

(b) How many circles are needed for Pattern number 50?

. . . . . . . . . . . . . . . . . . . . . .

(2)


Q10. (a) Expand 5(2c + 3d)

...........................................................

(1)

(b) Here are two straight lines, ABCDE and PQ.

In the diagrams all the lengths are in cm.

AE = 2PQ.

Find an expression, in terms of x, for the length of DE.

Give your answer in its simplest form.

........................................................... cm

(4)


Q11.

On Monday, Holly walked from her home to school. She stopped at her friend's house on the way to school.

On Tuesday, Holly cycled from her home to school.

The travel graphs show Holly's journey on Monday and on Tuesday.

(a) Write down the distance from Holly's home to school.

. . . . . . . . . . . . . . . . . . . . . . km

(1)

(b) Write down how long Holly stopped at her friend's house on Monday.

. . . . . . . . . . . . . . . . . . . . . . minutes

(1)

Holly took less time to get to school on Tuesday than on Monday.

(c) How many minutes less?

. . . . . . . . . . . . . . . . . . . . . . minutes

(2)


Q12.

Two companies, Barry's Bricks and Bricks ArUs, deliver bricks. The graph shows the delivery costs of bricks from both companies.

Prakash wants Bricks ArUs to deliver some bricks. He lives 2 miles away from Bricks ArUs.

(a) Write down the delivery

cost. .............................................................................................................................................. (1)

John needs to have some bricks delivered. He lives 4 miles from Barry's Bricks. He lives 5 miles from Bricks ArUs.

(b) Work out the difference between the two delivery costs.

.............................................................................................................................................. (3)


Q13.

Julie is x years old. Kevin is x + 3 years old. Omar is 2x years old.

Write an expression, in terms of x, for the mean of their ages.

..............................................................................................................................................


Q14.

The diagram shows a right-angled triangle.

All the angles are in degrees.

Work out the size of the smallest angle.

........................................................... °

(Total for question = 3 marks)

Q15.

y = 4x + c

x = 7.5 c = 5.4

(a) Work out the value of y.

.............................................................................................................................................. (2)

y = 4x + c

y = 18.8 c = –2.4

(b) Work out the value of x.

.............................................................................................................................................. (2)


Q16.

A shop sells pencils in packs and in boxes.

There are

4 pencils in a pack and 12 pencils in a box.

Lola buys d packs of pencils.

(a) Write down an expression, in terms of d, for the number of pencils Lola buys.

.............................................................................................................................................. (1)

Rory buys x packs of pencils and y boxes of pencils.

(b) Write down an expression, in terms of x and y, for the total number of pencils Rory buys.

.............................................................................................................................................. (2)


Q17.

Abigail is a years old. Bob is b years old.

Bob is older than Abigail.

(a) Write down, in terms of a and b, an expression for how many years older Bob is than Abigail.

.............................................................................................................................................. (1)

(b) Write down, in terms of a and b, an expression for the mean age, in years, of Abigail and Bob.

.............................................................................................................................................. (1)


Q18.

(a) Factorise 3x + 6

...........................................................

(1)

(b) Expand and simplify 5(y − 2) + 2(y − 3)

...........................................................

(2)


Q19.

The diagram shows a trapezium.

AD = x cm. BC is the same length as AD. AB is twice the length of AD. DC is 4 cm longer than AB.

The perimeter of the trapezium is 38 cm.

Work out the length of AD.

........................................................... cm


Q20.

(a) Work out the value of 3.14

........................................................... (1)

(b) Simplify (p3)2

........................................................... (1)

(c) Simplify t8⁄t3

........................................................... (1)

23 × 2n = 29

(d) Work out the value of n.

........................................................... (1)


Mark Scheme Q1.

Q2.

Q3.

Q4.

Q5.

Q6.

Q7.

Q8.

Q9.

Q10.

Q11.

Q12.

Q13.

Q14.

Q15.

Q16.

Q17.

Q18.

Q19.

Date: Time: Total marks available: Total marks achieved:Jun 06, 2015 · Q3. * Barbara goes on...

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