Edexcel GCSE Foundation June 2019 Paper 3 (calculator)
30 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 (1 mark)
Write 478 to the nearest hundred.
(1 mark)
Question 2 (1 mark)
Write down a multiple of 8 that is between 41 and 60
(1 mark)
Question 3 (1 mark)
Change 1.5 kilometres to metres.
(1 mark)
Question 4 (1 mark)
Here is a list of numbers.
4 6 9 10 15 27 30 40
From the list, write down all the numbers that are powers of 3
(1 mark)
Question 5 (1 mark)
Write 19% as a fraction.
(1 mark)
Question 6 (2 marks)
Work out 20% of 80
(2 marks)
Question 7 (2 marks)
There are four types of counter in a bag.
The table shows the number of each type of counter in the bag.
Type of counter red circle green circle red square green square Number of counters 16 26 11 7 There are more green counters than red counters.
How many more?(2 marks)
Question 8 (3 marks)
Here is the gauge for the fuel tank of a car.
Diagram: A fuel gauge: a bar split into four equal parts, marked Empty at the left end, then one quarter, one half and three quarters, and Full at the right end. The first quarter is shaded.
The fuel tank holds 52 litres of fuel when the tank is full.
The tank is 1/4 full of fuel.
Work out how many more litres of fuel are needed to fill the tank.
(3 marks)
Question 9 (2 marks)
Simplify 4e + 6f + 7e – f
(2 marks)
Question 10 (3 marks)
Bill has 400 counters in a bag.
He gives
35 of the counters to Sameena
50 of the counters to Henry
75 of the counters to LucasWhat fraction of the 400 counters is left in Bill’s bag?
Give your fraction in its simplest form.(3 marks)
Question 11 (4 marks)
The table shows the costs of sending a parcel by the Express service and by the Rapid service.
Type of service Cost Express £15.25 Rapid £35.38 Brendan has to send 12 parcels.
It will be cheaper to send the parcels by the Express service than by the Rapid service.(a)
How much cheaper?
(3 marks)
(b)
Luke wants to send 21 parcels by the Express service.
He does the calculation 20 × £15 = £300 to estimate the cost.
Explain why Luke’s calculation shows the actual cost will be more than £300
(1 mark)
Question 12 (2 marks)
Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10
What fraction of the money does Ben get?
(2 marks)
Question 13 (2 marks)
The first term of a sequence of numbers is 24
The term-to-term rule of this sequence is ‘add 8’
Josie says,
“No number in this sequence is in the 5 times table.”
(a)
Give an example to show that Josie is wrong.
(1 mark)
(b)
Is 85 a number in this sequence?
Give a reason for your answer.(1 mark)
Question 14 (2 marks)
Find the value of (5.27 + 3.5)/(7.9 – 4.36)
Give your answer as a decimal.
Write down all the figures on your calculator display.(2 marks)
Question 15 (4 marks)
You can use this rule to work out the total hire charge, in pounds (£),
for hiring a 3D printer for a number of weeks.Total hire charge (£) = number of weeks × 70 + 50
(a)
Mia wants to hire a 3D printer for 4 weeks.
Work out the total hire charge.
(2 marks)
(b)
Zahir hires a 3D printer.
The total hire charge is £680For how many weeks does Zahir hire the 3D printer?
(2 marks)
Question 16 (3 marks)
Here is a rectangle.
Diagram: A rectangle 4 cm wide and 6 cm tall.
The 6-sided shape below is made from two of these rectangles.
Diagram: A 6-sided shape made from two of the rectangles: one standing upright on the left and one lying on its side on the right, with their bottom edges in a straight line. It has no labels.
Work out the perimeter of this 6-sided shape.
(3 marks)
Question 17 (2 marks)
The accurate scale diagram shows a telephone mast and a box.
Diagram: An accurate scale drawing. A tall telephone mast stands on the ground on the left. A box sits on the ground to the right; a double arrow over the box shows its width, 1.5 m. The telephone mast is drawn 6 times as tall as the box is wide (on the paper the telephone mast is 10.8 cm tall and the box 1.8 cm wide).
The box has a real width of 1.5 metres.
Find an estimate for the real height, in metres, of the telephone mast.
(2 marks)
Question 18 (3 marks)
The table shows information about the numbers of points scored by 30 students in a quiz.
Number of points Frequency 0 4 1 3 2 7 3 5 4 6 5 5 (a)
Find the modal number of points.
(1 mark)
(b)
Work out the total number of points scored.
(2 marks)
Question 19 (2 marks)
Make x the subject of the formula y = 2x + 4
(2 marks)
Question 20 (2 marks)
The diagram shows a square ABDE and an equilateral triangle BCD.
Diagram: Square ABDE with A top left, B top right, D bottom right and E bottom left. Equilateral triangle BCD is joined to side BD, with C to the right. The diagonal EB is drawn, and an arc at B marks angle EBC.
Work out the size of angle EBC.
(2 marks)
Question 21 (3 marks)
Liz goes on holiday to South Africa.
Liz wants to change £850 into South African rand.
She wants to get as many 200 rand notes as possible.The exchange rate is £1 = 18.53 rand.
Work out the greatest number of 200 rand notes that Liz can get for £850
(3 marks)
Question 22 (4 marks)
In October Sally drove 560 miles in her car.
The car travelled 34.5 miles for each gallon of petrol used.
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October.
(4 marks)
Question 23 (5 marks)
Costcorp sells packets of mints to shop owners.
On Monday three shop owners buy mints from Costcorp.
Each shop owner buys small packets, medium packets and large packets of mints.Alan buys 400 packets of mints.
32% are small packets.
40% are large packets.Beryl buys 500 packets of mints.
3/10 are small packets.
1/10 are large packets.
Charlie buys 150 small packets of mints so that
number of small packets : number of medium packets = 3 : 4
Work out the total number of medium packets of mints these shop owners buy.
You must show all your working.(5 marks)
Question 24 (5 marks)
ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {1, 5, 6, 8, 9}
B = {2, 6, 9}(a)
Diagram: A blank Venn diagram: two overlapping circles, A and B, inside a rectangle labelled ℰ.
Complete the Venn diagram to represent this information.
(3 marks)
(b)
A number is chosen at random from the universal set ℰ.
Find the probability that the number is in the set A ∩ B
(2 marks)
Question 25 (3 marks)
Katy invests £200 000 in a savings account for 4 years.
The account pays compound interest at a rate of 1.5% per annum.
Calculate the total amount of interest Katy will get at the end of 4 years.
(3 marks)
Question 26 (3 marks)
The table shows information about the heights of 80 plants.
Height (h cm) Frequency 10 < h ≤ 20 7 20 < h ≤ 30 13 30 < h ≤ 40 14 40 < h ≤ 50 12 50 < h ≤ 60 16 60 < h ≤ 70 18 (a)
Find the class interval that contains the median.
(1 mark)
(b)
On the grid, draw a frequency polygon for the information in the table.
Diagram: A blank grid. Height (h cm) from 0 to 70 across, frequency from 0 to 20 up.
(2 marks)
Question 27 (2 marks)
Sean has drawn a time series graph to show the numbers, in thousands, of visitors to a
fun park.Diagram: A time series graph of the number of visitors to a fun park, in thousands. Across: 2016 quarters 2, 3, 4; 2017 quarters 2, 3, 4; 2018 quarters 2, 3, 4 (no quarter 1 is labelled). Up the side the scale is labelled 6, 6.5, 7, 7.5, 8, 8.5, 9, 10, equally spaced. Crosses at 10.2, 8, 8.4, 9.8, 7, 8, 8.9, 7 thousand are joined with a smooth curve.
Write down two things that are wrong or could be misleading with this graph.
(2 marks)
Question 28 (4 marks)
The diagram shows a hexagon.
The hexagon has one line of symmetry.Diagram: Hexagon ABCDEF with AB at the top and ED at the bottom, wider than AB. FA and BC are marked equal with one dash, EF and CD with two dashes. Angle ABC is marked 117°.
FA = BC
EF = CD
Angle ABC = 117°Angle BCD = 2 × angle CDE
Work out the size of angle AFE.
You must show all your working.(4 marks)
Question 29 (5 marks)
Jeremy has to cover 3 tanks completely with paint.
Each tank is in the shape of a cylinder with a top and a bottom.
The tank has a diameter of 1.6 m and a height of 1.8 m.Diagram: A cylinder standing on one end. An arrow across the top shows the diameter, 1.6 m; an arrow down the right side shows the height, 1.8 m.
Jeremy has 7 tins of paint.
Each tin of paint covers 5 m²Has Jeremy got enough paint to cover completely the 3 tanks?
You must show how you get your answer.(5 marks)
Question 30 (3 marks)
Solve the simultaneous equations
3x – 4y = 11
9x + 2y = 5(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.