1. Write down the value of the 5 in 9359

MATHEMATICSFOUNDATION TIER

MOCK EXAM – DECEMBER 5TH 2016

Name:___________________________________________________________

Mathematics Group:_____________________________________________

Mathematics Teacher:____________________________________________

Time Allowed: 1 hour 30 minutes

Question Mark

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TotalGrade

[1 mark]

2. (a) Write 9/16 as a decimal.

(1)(b) Write 0.17 as a fraction

(1)[2 marks]

3. Here is a list of numbers4, 5, 7, 11, 16, 25, 27

From this list of numbers(a) Write down an even number

(1)(b) Write down a square number

(1)(c) Write down a prime number

(1)[3 marks]

4. Find the value of (25.1−8.4 )2+√521.3

[2 marks]5. There are some boys and girls in a room. One of them is selected at

random. The probability the person selected is a girl is 1/5. What is the probability the person selected is a boy?

[1 mark]

6. Matthew writes down three numbers.The first is a multiple of 8.The other two are different factors of 30.When Matthew adds his numbers together, he gets a total between 20 and 30.What could the three numbers be?

[3 marks]

7. Paul sells iPads and iPhones in a store. The graph below shows how many of each he sells from Monday to Friday.

Write down three things that are wrong with this graph.

[3 marks]8. Here is a list of numbers…

14, 19, 11, 20, 11, 19, 18, 24, 9Find the median.

FridayThursdayWednesdayTuesdayMonday0

98754321

[2 marks]

9. Jamie has a apples and b bananas.Write down an expression for the total number of apples and bananas he

has.

[1 mark]

10. Solve the equation 4x + 1 = 17

[2 marks]

11. (a) Alan says that “when you multiply and odd number by an even number you always get an odd answer”.Write down an example to show that Alan is wrong.

(1)(b) Paul says that “all odd numbers are prime numbers”.

Paul is wrong. Explain why.

(2)[3 marks]

12. You can use the information below to convert litres to gallons.

Litres 0 2 6 10Gallons 0 9 27 45

(a) Use this information to draw a conversion graph

(3)

(b) Which is larger – 7 litres or 35 gallons?You must show how you got your answer.

(2)[4 marks]

13. AE and BD are straight lines. This diagram has not been drawn accurately.

10

20

30

40

60

50

12

10

O 8642

GALLONS

LITRES

E

D

78° 51

°C

A

(a) What is the size of angle ACB. Give a reason for your answer.

(2)(b) Show that triangle ABC is an isosceles triangle. You must give a

reason for stage of your working.

(2)[4 marks]

14. The diagram shows a tank in the shape of a cuboid and a container, also in the shape of a cuboid.

60cm

30cm

90cm

60cm

30cm40c

m

The tank is full of a liquid. The container is empty.20% of the liquid in the tank is spilled.The rest is poured into the container.Work out the height of the liquid in the container.Give your answer to an appropriate degree of accuracy.

[5 marks]

15. The diagram below represents two towns on a map.The diagram is drawn accurately and 1cm represents 2km.Work out the distance between Penistone and Huddersfield.

[2 marks]

16. (a) Write down all the factors of 40.

(2)(b) What is the highest common factor (HCF) of 24 and 40?

(1)[3 marks]

Penistone

Huddersfield

17. Dog biscuits are sold in three sizes in a supermarket, small, medium and large.

Small size is 1.5kg and costs £3.25Medium size is 3.5kg and costs £7.35. Large size is 5 kg and costs £10.75

Which is the better value for money?You must show how you got your answer.

[3 marks]

18. m = 4x + 3yIf x = 5 and y = -2, what is the value of m?

[2 marks]19. Sara was making biscuits.

She has3kg of flour1.5kg of butter1kg of icing sugar300g of ground almonds.

The recipe she is following is for 20 biscuits…125g of flour100g of butter60g of icing sugar10g of ground almonds.

Jessica made as many biscuits as she could using the ingredients she had.How many biscuits did she make?

[3 marks]

20. (a) Factorise 20x – 35y

(1)(b) Factorise x2 – 8x + 12

(2)[3 marks]

21. Make m the subject of the formular = 5m + 7

[2 marks]22. Ben is painting a rectangular wall in his

living room. A diagram of the wall is shownon the right.The paint Ben uses costs £7.99 per tinand each tin covers approximates 5m2.Work out how much it will cost Ben to paint this wall.

[4 marks]

23. Ann, Barry and Chris share money in the ratio 4 : 6 : 9.Chris receives £75 more than Ann.

3m

12m

How much money do they receive altogether?

[3 marks]

24. ABC is a right angled triangle. Work out the angle marked x.Give your answer to 1 decimal place.

[3 marks]25. The first 4 terms of an arithmetic sequence are 4, 11, 18, 25

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

(2)(b) The nth term of a different sequence is 6n – 2.

Is 200 a term in this sequence? Show how you came by your answer.

(2)[4 marks]

18cm

11cmx

C

B

A

26. Paul and Edna are driving along a motorway. Because of roadworks, the speed limit on the motorway is 50 miles per hour.A sign on the motorway says that Sheffield is 15 miles away and that the average time it takes a motorist to drive this distance is 16 minutes.Paul says “we will have to go faster than the speed limit to reach Sheffield in that time”.Is Paul correct? Show how you came by your answer.

[3 marks]

27. The time taken by a group of 45 students to complete a times tables test in seconds is shown in the table…Time taken (t secs) Number of

Students30 ≤ t < 40 340 ≤ t < 50 1150 ≤ t < 60 2060 ≤ t < 70 670 ≤ t < 80 5

(a) Write down the modal class interval

(1)(b) Calculate an estimate for the mean time taken to complete the

test.

(3)[4 marks]

28. Triangles ABC and BCD are right angled triangles.

(a) Find the length BC

(2)(b) Using your answer to part (a), find the length marked x. Give your answer correct to 2 decimal places.

(2)[4 marks]

x cm16cm

10cm26cm

D

CB

A