Pre Paper 2F Practice June 2017 GCSE Mathematics … Pre Paper 2F Practice June 2017 GCSE Mathematics (AQA style) Foundation Tier Calculator Practice Paper 8 9 Name Class TIME ALLOWED

Pre Paper 2F Practice

June 2017

GCSE Mathematics (AQA style) Foundation Tier Calculator Practice Paper

Name ……………………………………………………………… Class ………………………………………………………………

TIME ALLOWED

1 hour 30 minutes

INSTRUCTIONS TO CANDIDATES

• Answer all the questions.

• Read each question carefully. Make sure you know what you have to do before starting your answer.

• You are permitted to use a calculator in this paper.

• You may use the π button on your calculator or you may take the

value of π to be 3.142.

• Do all rough work in this book.

INFORMATION FOR CANDIDATES

• The number of marks is given in brackets at the end of each question or part question on the Question Paper.

• You are reminded of the need for clear presentation in your answers.

• The total number of marks for this paper is 80.

• It is expected that you will need a calculator to answer every question on this paper. In this respect, the topics it includes may not fully reflect the balance or mix of topics tested on a typical paper.

© The PiXL Club Limited 2017 This resource is strictly for the use of member schools for as long as they remain members of The PiXL Club. It may not be copied, sold nor transferred to a third party or used by the school after membership ceases. Until such time it may be freely used within the member school. All opinions and contributions are those of the authors. The contents of this resource are not connected with nor endorsed by any other company, organisation or institution.

Qu

estio

n

Mark

out o

f

1 1

2 1

3 1

4 1

5 2

6 6

7 5

8 3

9 4

10 3

11 4

12 4

13 3

14 3

15 3

16 1

17 3

18 6

19 3

20 6

21 7

22 5

23 5

Total 80

© The PiXL Club Limited page 2

There are no questions printed on this page

DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED


Answer all questions in the spaces provided

1 What is the value of 300 when it is rounded to 2 decimal places?

Circle your answer. [1 mark] 0.15 3.13 17.32 150. 2 Use your calculator to divide 136.8 by 45. What is the value of the digit 4 in the result? Circle your answer. [1 mark]

4 410

4

100

41000

.

3 How many seconds are there in a week? Circle your answer. [1 mark] 3 600 25 200 86 400 604 800 4 Find the value of 3.47 − 2.45 × 1.3. Circle your answer. [1 mark] 0.285 1.326 2.82 11.05195


5 A film starts at 7:50 pm. It finishes at 10:05 pm. How long, in minutes, is the film? [2 marks]

Answer

minutes


6 Adam, Brenda and Caitlin are given £840. They decide to divide this money in the ratio of their ages. Adam is 16 years old, Brenda is 10 years old and Caitlin is 9 years old.

Adam gives 14 of his share to Dave.

Brenda gives 25 of her share to Dave.

Caitlin keeps all of her share. 6 (a) Show that Adam and Brenda each give the same amount of money to Dave. You must show your working. [4 marks]

6 (b) What percentage of the original sum of money does Dave receive? [2 marks]

Answer

%


7 (a) Use the formula v = u + at

to find the value of v if u = 2.8, a = 9.8 and t = 4.2.

[2 marks]

7 (b) Use the formula v2 = u2 + 2as

to find the value of v if u = 2.8, a = 9.8 and s = 3.2.

[3 marks]

Answer

Answer


8 2584 people voted in an election for a new company executive. The pie chart shows the results. The percentages in the pie chart have been rounded to the nearest 1%. What is the smallest possible number of people who could have voted for Mrs Green? [3 marks]

Answer

Mr Brown

36%

Mrs Green

39%

Miss White

24%


9 Here is Jo’s payslip. Her hourly rate of pay varies at different times of the week. Complete Jo’s pay statement. [4 marks]

Number of hours worked

Pay per hour Pay

22 £12.86 £

13 £19.29 £

3 £25.72 £

Total pay £

Deductions

Income tax £79.86

National Insurance £24.59

Total deductions £

Take home pay (total pay − total deductions)

£


10 In 1969, Apollo 11 took four days to travel from the Earth to the Moon. The Moon is 384 400 km from the Earth. What was the average speed of Apollo 11 during its journey to the Moon? Give your answer in kilometres per hour. [3 marks]

Answer

kph


11 (a) The number 2017 can be written in the form a2 + b2, where a and b are positive integers.

Given that a = 9, find the value of b.

[2 marks]

11 (b) The number 2017 can also be written in the form p3 + 2q3, where p and q are integers.

Given that p = 11, find the value of q.

[2 marks]

Answer

Answer


12 Eric buys a computer. The computer costs £495. To pay for the computer in twelve monthly instalments, the shop adds a charge for credit

equal to 8% of the price of the computer. How much will Eric pay each month for the computer? You must show your working. [4 marks]

Answer £


13 Find the length of side AC. Give your answer to 1 decimal place. [3 marks]

Answer

cm2

11cm

7cm

A

B C


14 Paint is sold in two sizes. Which size represents the better value for money? Tick a box. The Standard can is better value for money. The Large can is better value for money. You must show your working. [3 marks]

Standard 400 ml

£7.49

Large 1.5 l

£27.99


15 The diagram shows a quarter circle, with radius 8.2cm. Find its area. [3 marks]

16 Use your calculator to find out which two of the following statements are correct. Put a tick in the box next to each correct statement. [1 mark] sin 23° = cos 67° tan 23° = tan (−23°) sin 41° = sin 221° cos 58° = cos (−58°)

Answer

cm2

8.2cm Not drawn accurately


17 The fuel consumption of a car is given by saying that it uses 6.7 litres for every 100 km that it travels. Change this figure into miles per gallon. 1 gallon = 4.546 litres. 1 mile = 1.6 km. [3 marks]

Answer

mpg


18 (a) Calculate the value of 4

15

106.2

107.3

.

Give your answer in standard form. [2 marks]

The table shows the masses of gases in the Earth’s atmosphere.

Gas Mass (kg)

Argon 7.81 × 1016

Carbon dioxide 5.04 × 1016

Neon 1.82 × 1015

Nitrogen 3.08 × 1018

Oxygen 7.53 × 1017

18 (b) Keith said that the total mass of the Earth’s atmosphere is 8.83 × 1017, but he missed out

one of the gases listed in the table when he made his calculation. State the name of the gas he omitted.

Circle your answer. [1 mark] Argon Carbon dioxide Neon Nitrogen Oxygen 18 (c) What percentage of the Earth’s atmosphere is made up of oxygen? [3 marks]

Answer

Answer


19 In a sale, the price of a bicycle is reduced by 15%. Its new price is £408. What was its price before the reduction? [3 marks]

Answer £


20 A ladder is 6 metres long. Not drawn accurately 20 (a) A workman leans the ladder up a wall so that it makes an angle of 50° to the horizontal. How far does the ladder reach up the wall? [3 marks]

Answer

m

50°

6m

?


The instructions for using the ladder say that it must be placed so that the angle it makes with the ground is approximately 70°.

The ladder is placed so that its foot is 2 metres from the base of a wall. Not drawn accurately 20 (b) Is the ladder safe to use in this position? Tick a box. The ladder is safe. The ladder is not safe. You must show your working out. [3 marks]

6m

2m

This angle must be about 70°


21 (a) Which of these calculations decreases 285 by 3%? Circle your answer. [1 mark]

285 × 0.97 285 × 1.03 285 ÷ 1.03 285 × 3

21 (b) £6000 is invested at 3.5% compound interest. (i) Show that, after two years, the value of the investment has increased to £6427.35. [2 marks]

At the end of 2 years, the rate of interest is reduced to 2.5%. (ii) Compare the value of the investment at the end of 5 years with the value of £6000 which had been invested for 5 years at 3% simple interest. [4 marks]

Answer


22 The table summarises the length of time, t minutes, contestants in a crossword solving

competition took to solve a crossword puzzle. None of the contestants took longer than an hour to solve the puzzle.

Time taken

(t minutes)

Number of contestants

0 < t ≤ 15 5

15 < t ≤ 30 42

30 < t ≤ 45 37

45 < t ≤ 60 16

22 (a) Which class interval contains the median time taken to solve the crossword puzzle? Circle your answer. [1 mark]

0 < t ≤ 15 15 < t ≤ 30 30 < t ≤ 45 45 < t ≤ 60

22 (b) Work out an estimate of the mean length of time taken to solve the crossword puzzle. [4 marks]

Answer

minutes


23 An object will float in oil if its density is less than 0.7 g/cm3. An object will float in water if its density is less than 1 g/cm3. A spherical object has a radius of 0.38 metres. Its mass is 200 kg. Will the object float in oil or water? Tick a box. The object will float in oil and water. The object will float in water but not in oil. The object will not float in oil or water. You must show your working out. 1000 kg/m3 = 1 g/cm3.

Volume of a sphere = 43 × π × r3.

[5 marks]


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Pre Paper 2F Practice June 2017 GCSE Mathematics … Pre Paper 2F Practice June 2017 GCSE Mathematics (AQA style) Foundation Tier Calculator Practice Paper 8 9 Name Class TIME ALLOWED