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2019 Edexcel Mathematics Foundation GCSE
Predicted Paper 3
Date: June 2019
Time allowed: 1 hour 30 mins Total marks: 71
Calculator allowed
Q1. Write down the value of the 3 in the number 4376
.......................................................... (Total for question = 1 mark)
Q2. On the grid, complete the diagram of a parallelogram.
(Total for question = 1 mark)
Q3. Here is a grid showing the points A, B and C.
(a) Write down the coordinates of the point A.
...........................................................
(1)
(b) On the grid, mark with a cross (×) the point (1, 2). Label this point D.
(1)
(c) On the grid, mark with a cross (×) a point E, so that the quadrilateral ABCE is a kite.
(1) (Total for question = 3 marks)
Q4. Here is a triangle ABC.
(a) Mark, with the letter y, the angle CBA.
(1)
Here is a cuboid.
Some of the vertices are labelled.
(b) Shade in the face CDEG.
(1)
(c) How many edges has a cuboid?
................................
(1) (Total for question is 3 marks)
Q5. Here are the first five terms of a sequence.
14 11 8 5 2
(i) Write down the next term of this sequence.
...........................................................
(1)
(ii) Explain how you got your answer.
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(1) (Total for question = 2 marks)
Q6. Write the number 5689 correct to the nearest thousand.
...........................................................
(Total for question is 1 mark) Q7.
(a) Work out
Give your answer as a decimal. Write down all the digits on your calculator display. ...........................................................
(2)
(b) Give your answer to part (a) correct to 1 decimal place. ...........................................................
(1)
(Total for question = 3 marks)
Q8. Each worker in a factory is either left-handed or right-handed.
22 of the 45 workers are male. 16 of the 34 right-handed workers are female.
Complete the frequency tree for this information.
(Total for question = 3 marks)
Q9. Rachel carried out a survey of 10 people to find out the type of fruit they like best.
The table gives information about her results.
(a) Which type of fruit is the mode?
...........................................................
(1)
In Rachel's survey, 2 out of 10 people like apples best.
(b) Write 2 out of 10 as a percentage.
........................................................... %
(1)
Pete also carried out a survey to find out the type of fruit people like best. He asked 30 people which type of fruit they like best.
He drew this pie chart for his results.
A smaller proportion of people like bananas best in Pete's survey than in Rachel's survey.
(c) Explain how Pete's pie chart and Rachel's table show this.
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(2) (Total for question = 4 marks)
Q10.Drinks and snacks can be bought in a cinema.
Laura is going to buy one drink and two different snacks.
Work out the most money that Laura can save by using the Special Offer.
...........................................................
(Total for question = 3 marks)
Q11. (a) Simplify 7x + 2y – 3x + 4y
...........................................................
(2)
(b) Factorise 10x – 15
...........................................................
(1)
(c) Solve 5p = 3p + 8
p = ...........................................................
(2) (Total for question = 5 marks)
Q12. (a) On the grid, reflect shape A in the mirror line.
(2)
(b)
Describe fully the single transformation that maps trapezium B onto trapezium C.
.............................................................................................................................................
(2) (Total for question = 4 marks)
Q13. Sophia pays £222 for a plane ticket. She also pays 100 euros airport tax.
The exchange rate is £1 = 1.38 euros.
What percentage of the total cost of the ticket and the airport tax does Sophia pay for the airport tax? Give your answer correct to 1 decimal place.
........................................................... %
(Total for question = 3 marks)
Q14. There are 60 students at a college.
20 students study both French and Spanish. 13 students study French but not Spanish. A total of 43 students study Spanish.
(a) Complete the Venn diagram for this information.
(3)
One of the students at the college is to be selected at random.
(b) Write down the probability that this student studies neither French nor Spanish.
...........................................................
(1) (Total for question = 4 marks)
Q15. Ross rolled an ordinary dice 30 times. The frequency table gives information about his results.
Ross worked out the mean score as 8
(a) Explain why it is impossible for the mean score to be 8
.............................................................................................................................................
.............................................................................................................................................
(1)
Graham also worked out the mean score.
Here is his working.
(b) Describe the mistake Graham made in his method to work out the mean score.
.............................................................................................................................................
.............................................................................................................................................
(1) (Total for question = 2 marks)
Q16. Here are the first four terms of an arithmetic sequence.
6 10 14 18
(a) Write an expression, in terms of n, for the nth term of this sequence.
...........................................................
(2)
The nth term of a different arithmetic sequence is 3n + 5
(b) Is 108 a term of this sequence? Show how you get your answer.
(2)
(Total for question = 4 marks)
Q17. The diagram shows the positions of two churches, A and B.
Amber says,
"The bearing of church B from church A is 025º"
Amber is wrong. Explain why.
.............................................................................................................................................
.............................................................................................................................................
(Total for question = 1 mark) Q18. A garden is in the shape of a rectangle, ABCD, and a semicircle. AD is the diameter of the semicircle.
Carol is going to cover the garden with fertiliser.
A box of fertiliser costs £4.99 Carol has been told that one box of fertiliser will cover 12 m2 of garden.
(a) Work out the cost of buying enough fertiliser to cover the garden completely.
£ ...........................................................
(5)
Carol finds out that one box of fertiliser will cover more than 12 m2 of garden.
(b) Explain how this might affect the number of boxes she needs to buy.
.............................................................................................................................................
.............................................................................................................................................
(1) (Total for question = 6 marks)
Q19. A teacher asked Tyrese to find the value of 2n2 – 3n when n = 3
Here is his working.
2 × 32 – 3 × 3 = 62 – 9 = 36 – 9 = 27
(i) What mistake has Tyrese made?
.............................................................................................................................................
.............................................................................................................................................
(1)
The teacher then asked Megan to find the value of 2n2 – 3n when n = –4
Here is her working.
2 × –42 – 3 × –4 = 2 × –16 + 12 = –32 + 12 = –20
(ii) What mistake has Megan made?
.............................................................................................................................................
.............................................................................................................................................
(1) (Total for question = 2 marks)
Q20. ABC is a right-angled triangle.
Calculate the length of AC. Give your answer correct to 3 significant figures.
........................................................... cm
(Total for question = 3 marks)
Q21. (a) Factorise x2 – 169
...........................................................
(1)
(b) Expand and simplify (3x + 2)(2x – 1)
...........................................................
(2) (Total for question = 3 marks)
Q22. Soap powder is sold in three sizes of box.
A 2 kg box of soap powder costs £1.89 A 5 kg box of soap powder costs £4.30 A 9 kg box of soap powder costs £8.46
Which size of box of soap powder is the best value for money? You must show how you get your answer.
(Total for question = 3 marks) Q23.
A sofa has 6 identical cushions. Each cushion is a cuboid 18 cm by 80 cm by 95 cm.
The cushions are covered with a protective spray. The protective spray is in cans.
The label on each can has this information.
(a) Work out how many cans are needed to cover the 6 cushions with protective spray.
...........................................................
(5)
The information on each label is inaccurate. The spray in each can covers 10% more than 4 m2.
(b) How will this affect the number of cans needed for the 6 cushions?
You must show how you get your answer.
.............................................................................................................................................
.............................................................................................................................................
(2) (Total for question = 7 marks)
Mark Scheme
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