Pre Public Exam Paper 2

Name
Class

Pre Public Exam Paper 2

May 2016

Foundation Tier

AQAStyle

Calculator allowed

Time1 Hour 45 Minutes

Marks Available105

Commissioned by The PiXL Club Ltd.

Foundation Tier Formula sheet

You must not write on this formulae page.

Anything you write on this formulae page will gain NO credit.

1.Here are some shapes

Use the letters inside each shape to help you answer these questions

a)Which shapes are regular?

…………………………………………(2 marks)

b)Which shapes are hexagons?

…………………………………………(2 marks)

c)What is the name of shape C?

…………………………………………(1 mark)

2.This bar chart shows the results of the games played by a football team in a season.

How many points did they get for the season if 3 points are awarded for a win, 1 point for a draw and no points are awarded if you lose the game?

(4 marks)

……………………………………………………………………………………………………………………………..

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3.Look at these shapes made from squares.

How many squares are in the 50th shape?(2 marks)

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4.This diagram shows a rectangle. The length is twice the size of the width.

Length = 3x + 10

Diagram NOT drawn

to scale.

Width = 6x - 31

Use an algebraic method to find the size of the sides.

(5 marks)

……………………………………………………………………………………………………………………………..

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5.(a)Put the numbers below in ascending order.

(i)-7, 9, 7, 5, -9, -17, -200

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(1 mark)

(ii)0.65, 0.35, -0.23, 2.056, -3.21, 0.035

…………………………………………

(1 mark)

(b)What is the place value of 3 in the number 5.039?

…………………………………………

(1 mark)

(c)Write the following in descending order:

68%, , , 0.075

…………………………………………

(2 mark)

6.A survey is carried out by asking people entering a cinema to see a film.

part of the questionnaire is reproduced below.

(a)Explain why this is a biased survey.(1 mark)

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(b)State two criticisms of the first question. (2 marks)

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7.A square has an area of 5.76 m2. Find the length of one side of the square.(2 marks)

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8Matt and Jack play a game.

They roll a normal fair die and flip a fair coin.

If the coin lands on heads then the score is twice the score on the die.

If the coin lands on tails then the score is five times the score on the die.

The sample space diagram below shows the possible scores.

1 / 2 / 3 / 4 / 5 / 6
Head / 8
Tail / 10

a)Complete the sample space diagram to show the possible scores.(2 marks)

b)What is the probability that you will score

(i)More than 10(1 mark)

…………………………………………………………………………………………………………

(ii)An even number(2 marks)

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(iii)If you get a tail your score will be more than 20(2 marks)

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9.Plants are sold in different sizes of tray. A tray of 345 plants cost £12.99. A tray of 20 plants cost £5.59. A tray of 50 plants cost £22.47. Mike wants to buy the best value for money tray. Which size tray of plants should he buy? You must show all your working outs?

(4 marks)

…………………………………………………………………………………………………………

10.Here are the ingredients needed to make Chilli Con Carne for 4 people.

(a)Work out what weight of kidney beans is needed to feed 10 people Chilli Con Carne(2 marks)

…………………………………………..

(b)How many large chillies would be needed to feed 6 people?(2 marks)

…………………………………………..

11.Simplify each of the following.

(a) 8x − 3x + 2x + 10(2 marks)

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(b)6z x 8z(1 mark)

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(d)6(y + 3)(1 mark)

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12.John bought a new van in Europe. The total cost of the van was £8000 plus VAT at 22%.

He had to pay £2000 deposit when he bought the van, then the rest of the total cost in 12 equal monthly payments.

Work out the cost of each monthly payment(5 marks)

…………………………………………..

13.There is a bus and train service between Onetown and Twoville, and there is only a tram service between Twoville and Threechester.

Extracts from their timetable are given below.

Bus / Onetown to Twoville
Depart / Onetown / 09:10 / 09:40 / 10:10
Arrive / Twoville / 09:38 / 10:08 / 10:38
Train / Onetown to Twoville
Depart / Onetown / 08:50 / 09:50 / 10:50
Arrive / Twoville / 09:10 / 10:10 / 11:10
Tram / Twoville to Threechester
Depart / Twoville / 10:00 / 10:45 / 11:30
Arrive / Threechester / 10:40 / 11:25 / 12:10

(a)How long does it take to go by bus from Onetown to Twoville?(2 marks)

…………………………………………………………………………………………………………

(b)Ffion lives in Onetown and needs to get to Threechester to watch a film that starts at 12:00.

What time does she need to start? You must give a schedule saying what transport you use, and what time it runs. (4 marks)

…………………………………………………………………………………………………………

14.(a)Write 48 as a product of prime factors.(2 marks)

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(b)Write 84 and 147 as products of prime factors. Find the HCF and LCM of 84 and 147.(4 marks)

HCF……………………………………………

LCM……………………………………………

(c)Amrita blinks her eyes every 6 seconds and Namrita blinks her eyes every 5 seconds. They both blinked their eyes at 8:00 o’clock. How many times will they both blink at the same time in the next two minutes?

(3 marks)

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15.

Hartlepool

North Sea

Hull

Scale: 1cm represents 20 Km

(a)It is proposed to build a motorway in a direct line from Harlepool to Hull. What is the distance from Hartlepool to Hull?

(3 marks)

……………………………………………………………………

(b)It is proposed to limit the speed of heavy trucks to 60 Km/hour. Will heavy trucks be able to travel from Hartlepool to Hull in under two hours? Explain your answer.

(3 marks)

……………………………………………………………………

16Make v the subject of the formula

y = + 2(2 marks)

…………………………………………………………..

17.This shape is a prism with a pentagonal cross-section.

(a)Draw the plan of the prism

(2 marks)

(b)Draw the side elevation of the prism

(2 marks)

18A restaurant offers a summer menu for a fixed price.

Diners can choose a main course and a dessert.

Main courses – Salmon (S), Beef (B) or Goat’s cheese tart (G).

Dessert – Lemon mousse (L), Chocolate brownie (C) or Ice cream (I)

(a)Show all the possible meals that diners can choose. Write your answer in the table below.

(2 marks)

(b)Simon decides to choose a meal at random, what is the probability that his main course is Salmon?

(1 mark)

(c)What is the probability that his main course is not Salmon?(2 marks)

19.Use this diagram to answer the questions below

Are these statements true or false?

Give a reason for each of your answers.

(a)a = 730 (2 marks)

…..……………………………………….. because ……………………………………………………………

…………………………..…………………………………………………………………………………………

(b)a and b are equal angles because they are alternate angles on parallel lines.(2 marks)

…..……………………………………….. because ……………………………………………………………

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(c)c = 1290 (2 marks)

…..……………………………………….. because ……………………………………………………………

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20.(a)–3 ≤ n < 2

n is an integer.

Write down all the possible values of n.(2 marks)

………………………..…………………..

(b)Solve the inequality

5x < 2x – 6 (3 marks)

…………………….………………….

21.On the grid, draw the graph of x + y = 15 from x = -1 to x = 16

(3 marks)

22.Factorise the following expressions.

(a)15y2 + 35y(2 marks)

…………………………………………………………………………………………………………

(b)z2 – 64(1 mark)

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23.Use this grid to answer the questions below

(a)Reflect shape A in the line x = 1 and label it shape B.

(1 mark)

(b)Reflect shape B in the line y = – 1 and label it shape C.

(1 mark)

(c)Describe fully the transformation that moves shape A onto shape C. (3 marks)

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