Edexcel GCSE Foundation June 2019 Paper 1 (non-calculator)
29 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 180 minutes in hours.
(1 mark)
Question 2 (1 mark)
Write 0.73 as a percentage.
(1 mark)
Question 3 (1 mark)
Work out 10 × (3 + 5)
(1 mark)
Question 4 (1 mark)
Write down a prime number that is between 20 and 30
(1 mark)
Question 5 (1 mark)
Find the number that is exactly halfway between 7 and 15
(1 mark)
Question 6 (4 marks)
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel £150 Hotel £50 for each day Spending money £250 Work out the total cost of the holiday for 4 people for 7 days.
(4 marks)
Question 7 (3 marks)
In Adam’s garden, the flowers are only red or white or yellow or blue.
The chart shows the number of red flowers, the number of white flowers and the number
of yellow flowers.Diagram: Bar chart. red: 8. white: 10. yellow: 5.
The total number of flowers is 30
(a)
Work out the number of blue flowers.
(2 marks)
(b)
Write down the mode.
(1 mark)
Question 8 (2 marks)
Write the following fractions in order of size.
Start with the smallest fraction.1/3 3/4 1/4 7/12 1/2
(2 marks)
Question 9 (4 marks)
Ruth left her home at 9 am and walked to the library.
She got to the library at 10 30 am.Ruth walked at a speed of 4 mph.
(a)
Work out the distance Ruth walked.
(2 marks)
(b)
Ruth got to the library at 10 30 am.
She stayed at the library for 50 minutes.
Then she walked home.Ruth took 11/4 hours to walk home.
At what time did Ruth get home?
(2 marks)
Question 10 (4 marks)
(a)
Solve t + t + t = 12
(1 mark)
(b)
Solve x – 2 = 6
(1 mark)
(c)
Solve 6w + 2 = 20
(2 marks)
Question 11 (2 marks)
Work out 74 × 58
(2 marks)
Question 12 (5 marks)
(a)
AB and BC are perpendicular lines.
Diagram: Lines BA and BC meet at B. Two lines from B split the angle ABC into 25°, x° and 25°.
Find the value of x.
(2 marks)
(b)(i)
RS and TU are parallel lines.
PQ is a straight line.Diagram: Parallel lines RS and TU are crossed by the straight line PQ. At RS the angle between the line to S and the line to P is 125°; the other angles there are a, b and c. At TU the angles d and e are marked.
An angle of size 125° is shown on the diagram.
Write down the letter of one other angle of size 125°
Give a reason for your answer.(2 marks)
(ii)
Explain why a + b + c = 235°
(1 mark)
Question 13 (1 mark)
The length of a line is x centimetres.
Write down an expression, in terms of x, for the length of the line in millimetres.
(1 mark)
Question 14 (2 marks)
(a)
Work out 1/5 of 70
(1 mark)
(b)
Fiona has to work out the exact value of 48 ÷ 1/2
She writes48 ÷ 1/2 = 24
Fiona’s reason is,
“There are 2 halves in 1, so there will be 24 halves in 48”
Explain what is wrong with Fiona’s reason.
(1 mark)
Question 15 (2 marks)
(a)
Write down the value of √64
(1 mark)
(b)
Work out the value of 5³
(1 mark)
Question 16 (2 marks)
(a)
Expand 5(2m – 3)
(1 mark)
(b)
Factorise 3n + 12
(1 mark)
Question 17 (2 marks)
Stuart throws a biased coin 10 times.
He gets 7 Tails.Maxine throws the same coin 50 times.
She gets 30 Tails.Prasha is going to throw the coin once.
(i)
Whose results will give the better estimate for the probability that she will get Tails,
Stuart’s or Maxine’s?
You must give a reason for your answer.(1 mark)
(ii)
Use Stuart’s and Maxine’s results to work out an estimate for the probability that
Prasha will get Tails.(1 mark)
Question 18 (4 marks)
The diagram shows a rectangular garden path.
Diagram: A long thin rectangle, 600 cm by 120 cm.
Wasim is going to cover the path with paving stones.
Each paving stone is a square of side 30 cm.
Each paving stone costs £2.50Wasim has £220 to spend on paving stones.
Show that he has enough money to buy all the paving stones he needs.
(4 marks)
Question 19 (4 marks)
(a)
Work out 2/3 – 1/5
(2 marks)
(b)
Work out 2/3 × 3/4
Give your answer as a fraction in its simplest form.
(2 marks)
Question 20 (3 marks)
Here are two squares, A and B.
Diagram: Square A, with the triangle below its diagonal shaded, and a larger square B.
The length of the side of square A is 50% of the length of the side of square B.
Express the area of the shaded region of square A as a percentage of the area of square B.
(3 marks)
Question 21 (4 marks)
There are 40 students in a class.
Each student walks to school or cycles to school or gets the bus to school.There are 22 girls in the class.
9 of the girls walk to school.
7 of the boys cycle to school.
6 of the 10 students who get the bus to school are boys.Find the number of these students who walk to school.
(4 marks)
Question 22 (4 marks)
There are only blue cubes, red cubes and yellow cubes in a box.
The table shows the probability of taking at random a blue cube from the box.
Colour blue red yellow Probability 0.2 The number of red cubes in the box is the same as the number of yellow cubes in the box.
(a)
Complete the table.
(2 marks)
(b)
There are 12 blue cubes in the box.
Work out the total number of cubes in the box.
(2 marks)
Question 23 (5 marks)
Deon needs 50 g of sugar to make 15 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugarDeon is going to make 60 biscuits.
(a)
Work out the amount of flour she needs.
(3 marks)
(b)
Deon has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 250 g packs.How many packs of butter does Deon need to buy?
(2 marks)
Question 24 (2 marks)
Find the highest common factor (HCF) of 72 and 90
(2 marks)
Question 25 (2 marks)
The diagram shows the plan, front elevation and side elevation of a solid shape, drawn
on a centimetre grid.Diagram: A centimetre grid. The plan is a circle 4 squares across. The front elevation and the side elevation are both rectangles 4 squares wide and 5 squares tall.
In the space below, draw a sketch of the solid shape.
Give the dimensions of the solid on your sketch.(2 marks)
Question 26 (3 marks)
Diagram: A graph.
Shape A can be transformed to shape B by a reflection in the x-axis followed by a
translation ( c , d )Find the value of c and the value of d.
(3 marks)
Question 27 (4 marks)
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pensOn Monday,
number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
(4 marks)
Question 28 (4 marks)
Here are two rectangles.
Diagram: Two rectangles: ABCD, wider than it is tall, and PQRS, taller than it is wide.
QR = 10 cm
BC = PQThe perimeter of ABCD is 26 cm
The area of PQRS is 45 cm²Find the length of AB.
(4 marks)
Question 29 (3 marks)
Here is the graph of y = x² – 2x – 3
Diagram: The graph of y = x² – 2x – 3, a U-shaped curve.
(a)
Write down the coordinates of the turning point on the graph of y = x² – 2x – 3
(1 mark)
(b)
Use the graph to find the roots of the equation x² – 2x – 3 = 0
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.