Edexcel GCSE Foundation June 2019 Paper 2 (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 0.75 as a fraction.
(1 mark)
Question 2 (1 mark)
Write the following numbers in order of size.
Start with the smallest number.–3 4 0 –1 2
(1 mark)
Question 3 (1 mark)
Write down two factors of 15
(1 mark)
Question 4 (1 mark)
Change 1756 grams to kilograms.
(1 mark)
Question 5 (1 mark)
Write the number two million in figures.
(1 mark)
Question 6 (3 marks)
Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.
Each cup of coffee costs £2.75
The cake costs £2.90
Dave pays with a £10 note.He thinks he will get more than £1.50 in change.
Is Dave correct?
You must show how you get your answer.(3 marks)
Question 7 (1 mark)
There are y boats on a lake.
There are 7 people in each boat.Write an expression, in terms of y, for the total number of people in the boats.
(1 mark)
Question 8 (4 marks)
(a)
Simplify a × b × 7
(1 mark)
(b)
Simplify y × y × y
(1 mark)
(c)
Simplify fully (e × e × e × f)/(e × e × f × f)
(2 marks)
Question 9 (5 marks)
The pictogram shows information about the number of vinyl records sold in a shop on
Monday and on Tuesday.Diagram: Pictogram. Key: one circle represents 8 vinyl records. Monday: 3 circles. Tuesday: 2.25 circles. Wednesday: blank. Thursday: blank.
Write down the number of vinyl records sold
(a)(i)
on Monday,
(1 mark)
(ii)
on Tuesday.
(1 mark)
(b)
On Wednesday and Thursday a total of 36 vinyl records were sold.
The number of records sold on Thursday was 8 times the number of records sold on
Wednesday.Use this information to complete the pictogram.
(3 marks)
Question 10 (2 marks)
Here are three symbols.
< > =
Write one of these symbols in each box to make four true statements.
14 boxedphantom= 21
4 + 7 boxedphantom= 103 – 92
2² boxedphantom= 2 × 2
-3 boxedphantom= -5
(2 marks)
Question 11 (2 marks)
P = 7r + 3q
Work out the value of P when r = 5 and q = -4
(2 marks)
Question 12 (3 marks)
Here is part of a train timetable.
Brighton 07 22 07 29 07 32 London 09 00 08 32 08 48 Graham gets to the station in Brighton at 07 15
(a)
Work out how many minutes he has to wait until 07 22
(1 mark)
(b)
Work out how long it will take the 07 22 train to get to London.
(2 marks)
Question 13 (3 marks)
The diagram shows nine identical squares inside a rectangle.
Diagram: A rectangle with nine identical shaded squares inside it, set out like steps. The length of the rectangle across the top is 12 cm; its height is labelled width. Reading from the top row down, the squares are in columns 1; 1 and 2; 2 and 3; 4 and 5 and 6; 6 (counting from the left).
The length of the rectangle is 12 cm.
Work out the width of the rectangle.
(3 marks)
Question 14 (1 mark)
Write the ratio 4.5 : 2.25 in the form n : 1
(1 mark)
Question 15 (4 marks)
A garden is in the shape of a rectangle 90 m by 60 m.
Diagram: A rectangle, 90 m long and 60 m wide.
Flowers are grown in 40% of the garden.
The rest of the garden is grass.Work out the area of the garden that is grass.
(4 marks)
Question 16 (5 marks)
Four biased coins, A, B, C and D are thrown.
The probability that each coin will land on Heads is shown in the table.Coin Probability A 0.33 B 0.033 C 1/3 D 30% (a)(i)
Which coin is least likely to land on Heads?
(1 mark)
(ii)
Which coin is most likely to land on Heads?
(1 mark)
(b)
Julie says,
“The probability that coin C will land on Heads is the same as the probability that
coin C will land on Tails.”Is she correct?
Give a reason for your answer.(1 mark)
(c)
Coin B is going to be thrown 4000 times.
Work out an estimate for the number of times coin B will land on Heads.
(2 marks)
Question 17 (4 marks)
There are 84 calories in 100 g of banana.
There are 87 calories in 100 g of yogurt.Priti has 60 g of banana and 150 g of yogurt for breakfast.
Work out the total number of calories in this breakfast.
(4 marks)
Question 18 (4 marks)
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hoursWork out the total number of parts made by the two machines on Monday.
(4 marks)
Question 19 (4 marks)
Here is a plan of a kitchen drawn to a scale of 1 : 30
Diagram: A plan of a kitchen: a rectangle ABCD, 15 cm across and 8 cm down, drawn accurately. A is the top left corner, B the top right, C the bottom right and D the bottom left. The scale is 1:30.
Sam is going to put a small table in the kitchen.
The table has to be
more than 180 cm from A
more than 150 cm from BCShow, by shading on the diagram, the region where Sam can put the table.
(4 marks)
Question 20 (5 marks)
(a)
Solve 14n > 11n + 6
(2 marks)
(b)
On the number line below, show the set of values of x for which -2 < x + 3 ≤ 4
Diagram: A number line for x from -6 to 6.
(3 marks)
Question 21 (3 marks)
On the grid below, draw the graph of y = 2x – 3 for values of x from –2 to 4
Diagram: A graph.
(3 marks)
Question 22 (3 marks)
Hannah is planning a day trip for 195 students.
She asks a sample of 30 students where they want to go.
Each student chooses one place.The table shows information about her results.
Place Number of students Theme Park 10 Theatre 5 Sports Centre 8 Seaside 7 (i)
Work out how many of the 195 students you think will want to go to the Theme Park.
(2 marks)
(ii)
State any assumption you made and explain how this may affect your answer.
(1 mark)
Question 23 (4 marks)
A container is in the shape of a cuboid.
Diagram: A cuboid 30 cm long, 6 cm deep and 19 cm high.
The container is 2/3 full of water.
A cup holds 275 ml of water.What is the greatest number of cups that can be completely filled with water from the container?
(4 marks)
Question 24 (2 marks)
ABC is a right-angled triangle.
Diagram: A right-angled triangle ABC. The right angle is at B. A is straight above B and C is to the right of B. AC, the sloping side, is 16 cm. The angle at C is 38°.
Calculate the length of AB.
Give your answer correct to 2 decimal places.(2 marks)
Question 25 (2 marks)
Sally used her calculator to work out the value of a number y.
The answer on her calculator display began
8.3
Complete the error interval for y.
……… ≤ y < ………
(2 marks)
Question 26 (4 marks)
£360 is shared between Abby, Ben, Chloe and Denesh.
The ratio of the amount Abby gets to the amount Ben gets is 2 : 7
Chloe and Denesh each get 1.5 times the amount Abby gets.Work out the amount of money that Ben gets.
(4 marks)
Question 27 (2 marks)
(a)
Write 0.00562 in standard form.
(1 mark)
(b)
Write 1.452 × 10³ as an ordinary number.
(1 mark)
Question 28 (3 marks)
Here are the first five terms of a Fibonacci sequence.
3 3 6 9 15
(a)
Write down the next two terms of the sequence.
(1 mark)
(b)
The first three terms of a different Fibonacci sequence are
a a 2a
Find the 6th term of this sequence.
(2 marks)
Question 29 (2 marks)
mathbfa = ( 4 , 5 ) mathbfb = ( 3 , 2 )
Work out mathbfa – 2mathbfb as a column vector.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.