GCSE Mathematics

Practice Tests: Set 6

Paper 2F (Calculator)

Time: 1 hour 30 minutes

You should have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Instructions

Use black ink or ball-point pen.

Fill in the boxes at the top of this page with your name,
centre number and candidate number.

Answer all questions.

Answer the questions in the spaces provided

– there may be more space than you need.

Calculators may be used.

Diagrams are NOT accurately drawn, unless otherwise indicated.

You must show all your working out.

Information

The total mark for this paper is 80

The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.

Advice

Read each question carefully before you start to answer it.

Keep an eye on the time.

Try to answer every question.

Check your answers if you have time at the end.

Answer ALL questions.

Write your answers in the spaces provided.

You must write down all the stages in your working.

1.	Write 0.5 as a fraction.

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

(Total 1 mark)

___________________________________________________________________________

2.	Write as a decimal.

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

(Total 1 mark)

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3.	Write 40 out of 50 as a fraction.

Give your fraction in its simplest form.

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

(Total 2 marks)

___________________________________________________________________________

4.	Work out of 24

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

(Total 2 marks)

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5.	You can use this conversion graph to change between pounds (£) and euros.

Change 150 euros into pounds (£).

£..............................................

(Total 2 marks)

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6.	Some drivers are asked which make of car they like best.

The pie chart and table show some information about their answers.

Complete the table.

Make of car	Number of drivers	Angle of sector
MDW	18	45°
Cazda	..............................................	90°
Zusuki	48	..............................................
Monda	..............................................	105°

(Total 4 marks)

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7.	Jane wants to buy some compost.

Both Suttons Shop and Greens Garden Shop sell compost.

Jane needs 140 litres of compost.

She wants to buy all the compost from the same shop.

She wants to buy the compost as cheaply as possible.

Which shop should Jane buy the compost from?

You must show all your working.

(Total 4 marks)

___________________________________________________________________________

8.	David drives to the supermarket on his way home from work.

The table shows some information about his journey.

Time
Leaves work	1730
Gets to supermarket	1745
Leaves supermarket	1810

(a)	How many minutes is David at the supermarket?

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

(1)

David leaves the supermarket at 1810.

He drives 20 miles to his home.

The speed limit for the journey is 30 mph.

David drives within the speed limit.

(b)	Can David get home before 1900?

Give reasons for your answer.

(3)

(Total 4 marks)

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9.	a = 4b

(a)	Work out the value of a when b = 3.

a = ..........................................

(1)

P = 4d – 3

(b)	Work out the value of P when d = 2.

P = ..........................................

(2)

(Total 3 marks)

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10.	Here are the first five terms of a number sequence.

17	21	25	29	33

(a)	Write down the next two terms of the sequence.

..................... , ......................

(2)

(b)	Explain how you found your terms.

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

(1)

(c)	Work out the 12th term of the sequence.

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

(1)

(d)	Explain why 70 is not a term of this sequence.

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

(1)

(Total 5 marks)

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11.	Julie buys 19 identical calculators.

The total cost is £143.64

Work out the total cost of 31 of these calculators.

£ ................................

(Total 3 marks)

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12.	When you buy something from Quickmart you get points.

Chantal buys a Smart Phone, 4 DVDs and a basic lawnmower from Quickmart.

(a)	Work out how many points she gets.

..................................................points

(3)

You can get money off the cost of your shopping at Quickmart.

Get £2.40 off the cost of your shopping for every 500 points

Louis has 4500 points.

He wants to get a DVD player costing £22

He wants to use his points to get the DVD player.

(b)	Does Louis have enough points to get the DVD player?

(4)

(Total 7 marks)

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13.	The table shows some information about the ages of 60 teachers.

Age (a years)	Frequency
20 < a ≤ 30	6
30 < a ≤ 40	16
40 < a ≤ 50	14
50 < a ≤ 60	22
60 < a ≤ 70	2

(a)	Write down the modal class interval.

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

(1)

(b)	Draw a frequency polygon for the information in the table.

(2)

(Total 3 marks)

___________________________________________________________________________

14.	Sal asked 60 adults if they liked Chinese food best or Italian food best or Thai food best.

29 of the adults were women.

6 of the women liked Thai food best.

10 of the men liked Chinese food best.

8 of the 13 adults who liked Italian food best were women.

Work out the number of men who liked Thai food best.

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

(Total 4 marks)

___________________________________________________________________________

15.	The diagram shows a path around a pond.

The pond is in the shape of a rectangle with length 7 m and width 4 m.

The path is 3 m wide.

Ali is going to cover the path with gravel.

One bag of gravel will cover 10 m2 of the path.

How many bags of gravel does Ali need to buy?

You must show your working.

.......................................... bags

(Total 4 marks)

___________________________________________________________________________

16.

(a)	Use a word from the box which best describes the probability of each of the
following events.

(i)	When you throw an ordinary coin you get a tail.

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

(ii)	When you throw an ordinary dice you get a number less than 7.

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

(2)

Bill has some counters in a bag.

3 of the counters are red.

7 of the counters are blue.

The rest of the counters are yellow.

Bill takes at random a counter from the bag.

The probability that he takes a yellow counter is .

(b)	How many yellow counters are in the bag before Bill takes a counter?

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

(2)

(Total 4 marks)

___________________________________________________________________________

17.	Here are 6 triangles drawn on a grid of centimetre squares.

(a)	Write down the letters of the two congruent triangles.

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

(1)

(b)	Write down the letter of an isosceles triangle.

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

(1)

(c)	Find the area of triangle E.

.............................................. cm2

(1)

(Total 3 marks)

___________________________________________________________________________

18.	A small photograph has a length of 6 cm and a width of 5 cm.

The small photograph is enlarged to make a large photograph.

The large photograph has a length of 21 cm.

The two photographs are similar rectangles.

Work out the perimeter of the large photograph.

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

(Total 3 marks)

___________________________________________________________________________

19.	Ann has some cards.

Beth has 4 cards more than Ann.

Cath has three times as many cards as Beth.

The total number of cards is 51

How many cards does each of the three people have?

You must show all your working.

(Total 5 marks)

___________________________________________________________________________

20.	Here are four containers.

Water is poured into each container at a constant rate.

Here are four graphs.

The graphs show how the depth of the water in each container changes with time.

Match each graph with the correct container.

A and ..........................

B and ..........................

C and ..........................

D and ..........................

(Total 2 marks)

21.	A factory makes metal bottle tops.

When a bottle top is too big or too small it does not fit the bottle.

The probability that a bottle top is too big is 0.008

The probability that a bottle top is too small is 0.015

A bottle top is taken at random.

Work out the probability that the bottle top does fit the bottle.

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

(Total 2 marks)

___________________________________________________________________________

22.	The diagram shows the positions of three turbines A, B and C.

A is 6 km due north of turbine B.

C is 4.5 km due west of turbine B.

(a)	Calculate the distance AC.

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

(3)

(b)	Calculate the bearing of C from A.

Give your answer correct to the nearest degree.

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

(4)

(Total 7 marks)

___________________________________________________________________________

23.	A rugby team played six games.

The mean score for the six games is 14.5

The rugby team played one more game.

The mean score for all seven games is 16

Work out the number of points the team scored in the seventh game.

.......................... points

(Total 2 marks)

___________________________________________________________________________

24.	ABCDE and PQRST are regular pentagons.

SR is parallel to DC

AP = BQ = CR = DS = ET

Work out the size of angle SRC.

You must show all your working.

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

(Total 3 marks)

TOTAL FOR PAPER IS 80 MARKS

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