Edexcel GCSE Foundation June 2017 Paper 2 (calculator)
25 questions · 80 marks. Every question from the paper, recreated, with the official mark scheme, an annotated worked solution and a shadow question (the same skill with new numbers). Open the paper in the Ultimate Exam Question Finder to present it, print it or build a set.
Question 1 (4 marks)
(a)
Simplify 5p – 3p + p
(1 mark)
(b)
Simplify m³ + m³
(1 mark)
(c)
Simplify 10 + 3c + 5d – 7c + d
(2 marks)
Question 2 (1 mark)
Write 56.78 correct to one significant figure.
(1 mark)
Question 3 (5 marks)
A teacher asks the students in Year 6 what type of transport they use to get to school.
The dual bar chart shows some of the results.Diagram: Dual bar chart. Car: boys 5, girls 9. Bus: boys 6, girls 4. Walk: boys 9, girls 0. Cycle: boys 4, girls 1. Other: boys 2, girls 1.
(a)
What is the most popular type of transport used by the boys?
(1 mark)
(b)
7 girls walk to school.
Show this information on the dual bar chart.
(1 mark)
(c)
More of the students get to school by car than by bus.
How many more?
(1 mark)
(d)
The number of students in Year 5 is the same as the number of students in Year 6
What is the total number of students in Years 5 and 6?
(2 marks)
Question 4 (2 marks)
Here are four fractions.
2/5 11/30 1/2 7/15
Write these fractions in order of size.
Start with the smallest fraction.(2 marks)
Question 5 (2 marks)
David sells CDs in a shop.
The tally chart shows information about the number of CDs David sold
on Monday, on Tuesday and on Wednesday.Tally Frequency Monday |̶|̶|̶|̶ |̶|̶|̶|̶ ||| 12 Tuesday |̶|̶|̶|̶ |̶|̶|̶|̶ |̶|̶|̶|̶ ||| 18 Wednesday |̶|̶|̶|̶ ||| 8 (a)
Write down one thing that is wrong with the tally chart.
(1 mark)
(b)
David drew this pictogram to show the information for Tuesday and Wednesday.
Diagram: Pictogram. Key: one circle represents 3 CDs. Tuesday: 5 circles. Wednesday: 2.5 circles.
Write down one thing that is wrong with this pictogram.
(1 mark)
Question 6 (4 marks)
There are 495 coins in a bottle.
1/3 of the coins are £1 coins.
124 of the coins are 50p coins.
The rest of the coins are 20p coins.Work out the total value of the 495 coins.
(4 marks)
Question 7 (1 mark)
The probability that a new fridge has a fault is 0.015
What is the probability that a new fridge does not have a fault?
(1 mark)
Question 8 (3 marks)
Here is a list of numbers.
21 22 23 24 25 26 27 28 29
(a)
From the numbers in the list, write down a square number.
(1 mark)
(b)
From the numbers in the list, write down a number that is a multiple of both 4 and 6
(1 mark)
(c)
Write down all the prime numbers in the list.
(1 mark)
Question 9 (3 marks)
Diagram: Three straight lines from a point: one to the right, one straight down and one up to the left. The angle between the line down and the line to the right is a right angle. The angle between the line to the right and the line up to the left is marked 3x degrees; the angle between the line up to the left and the line down is marked 2x degrees.
Find the value of x.
(3 marks)
Question 10 (4 marks)
Suha is going to buy 150 envelopes.
Here is some information about the cost of envelopes in two shops.
Letters2send Stationery World Pack of 25 envelopes for £3.49 Pack of 10 envelopes for £2.10 Buy 2 packs get 1 pack free Suha wants to buy the envelopes as cheaply as possible.
Which shop should Suha buy the 150 envelopes from?
You must show how you get your answer.(4 marks)
Question 11 (4 marks)
You can use this graph to change between inches and centimetres.
Diagram: A straight-line conversion graph through (0, 0) and (50, 127): inches from 0 to 50 across, centimetres from 0 to 140 up.
(a)
Change 74 cm to inches.
(1 mark)
(b)
Daniel’s height is 6 feet 3 inches.
1 foot = 12 inches
What is Daniel’s height in centimetres?
(3 marks)
Question 12 (2 marks)
Find the value of dfrac√(13.4 – 1.5)(6.8 + 0.06)²
Write down all the figures on your calculator display.
(2 marks)
Question 13 (4 marks)
(a)
Diagram: A graph.
Rotate shape A 90° clockwise about centre O.
(2 marks)
(b)
Diagram: A graph.
Describe fully the single transformation that maps triangle B onto triangle C.
(2 marks)
Question 14 (3 marks)
(a)
Factorise 5 – 10m
(1 mark)
(b)
Factorise fully 2a²b + 6ab²
(2 marks)
Question 15 (3 marks)
(a)
Write 4.7 × 10⁻¹ as an ordinary number.
(1 mark)
(b)
Work out the value of (2.4 × 10³) × (9.5 × 10⁵)
Give your answer in standard form.(2 marks)
Question 16 (3 marks)
A, B and C are three points on a map.
Diagram: Three points on a map, each marked with a cross: A on the left, B to the right of A and a little higher, C below and between them.
1 cm represents 100 metres.
Point T is 250 metres from point A.
Point T is equidistant from point B and point C.On the map, show one of the possible positions for point T.
(3 marks)
Question 17 (3 marks)
The table shows the probabilities that a biased dice will land on 2, on 3, on 4, on 5 and on 6
Number on dice Probability 1 2 0.17 3 0.18 4 0.09 5 0.15 6 0.1 Neymar rolls the biased dice 200 times.
Work out an estimate for the total number of times the dice will land on 1 or on 3
(3 marks)
Question 18 (5 marks)
On Saturday, some adults and some children were in a theatre.
The ratio of the number of adults to the number of children was 5 : 2
Each person had a seat in the Circle or had a seat in the Stalls.
3/4 of the children had seats in the Stalls.
117 children had seats in the Circle.There are exactly 2600 seats in the theatre.
On this Saturday, were there people on more than 60% of the seats?
You must show how you get your answer.(5 marks)
Question 19 (4 marks)
The diagram shows a prism with a cross section in the shape of a trapezium.
Diagram: A prism with a trapezium cross section, drawn in 3D. The trapezium at the front has a horizontal base 2 m, a vertical left side 2 m, a vertical right side 0.5 m and a sloping top 2.5 m. The prism is 1 m long. Arrows show the front (looking at the trapezium) and the side (looking from the right).
On the centimetre grid below, draw the front elevation and the side elevation of the prism.
Use a scale of 2 cm to 1 m.Diagram: A centimetre grid, 16 squares across and 11 squares up.
(4 marks)
Question 20 (5 marks)
Olly drove 56 km from Liverpool to Manchester.
He then drove 61 km from Manchester to Sheffield.Olly’s average speed from Liverpool to Manchester was 70 km/h.
Olly took 75 minutes to drive from Manchester to Sheffield.(a)
Work out Olly’s average speed for his total drive from Liverpool to Sheffield.
(4 marks)
(b)
Janie drove from Barnsley to York.
Janie’s average speed from Barnsley to Leeds was 80 km/h.
Her average speed from Leeds to York was 60 km/h.Janie says that the average speed from Barnsley to York can be found by working out the
mean of 80 km/h and 60 km/h.If Janie is correct, what does this tell you about the two parts of Janie’s journey?
(1 mark)
Question 21 (4 marks)
Diagram: Triangle AEC with E at the bottom left, C at the bottom right and A at the top. D is on EC and B is on AC. DB is parallel to EA (arrows).
ABC and EDC are straight lines.
EA is parallel to DB.EC = 8.1 cm.
DC = 5.4 cm.
DB = 2.6 cm.(a)
Work out the length of AE.
(2 marks)
(b)
AC = 6.15 cm.
Work out the length of AB.
(2 marks)
Question 22 (3 marks)
Anil wants to invest £25000 for 3 years in a bank.
Personal Bank Secure Bank Compound Interest Compound Interest 2% for each year 4.3% for the first year 0.9% for each extra year Which bank will give Anil the most interest at the end of 3 years?
You must show all your working.(3 marks)
Question 23 (2 marks)
A number, n, is rounded to 2 decimal places.
The result is 4.76Using inequalities, write down the error interval for n.
(2 marks)
Question 24 (3 marks)
Solve x² + 5x – 24 = 0
(3 marks)
Question 25 (3 marks)
Here are the first six terms of an arithmetic sequence.
3 8 13 18 23 28
(a)
Find an expression, in terms of n, for the nth term of this sequence.
(2 marks)
(b)
The nth term of a different sequence is 3n²
Nathan says that the 4th term of this sequence is 144
Is Nathan right?
Show how you get your answer.(1 mark)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.