Edexcel GCSE Foundation June 2024 Paper 2 (calculator)
28 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 the following numbers in order.
Start with the lowest number.4 –3 7 2 –1
(1 mark)
Question 2 (1 mark)
Change 5000 millilitres to litres.
(1 mark)
Question 3 (1 mark)
Write 31/100 as a decimal.
(1 mark)
Question 4 (1 mark)
Write down the multiple of 7 that is between 30 and 40
(1 mark)
Question 5 (1 mark)
Complete the statement below to make it correct.
ldotsldots × m = 2m
(1 mark)
Question 6 (5 marks)
Ben sells houses.
The pictogram shows information about the number of houses Ben sold in each of the first three months of last year.
Diagram: Pictogram. Key: one square represents 4 houses. January: 2.5 squares. February: 2.25 squares. March: 3 squares. April: blank. May: blank.
(a)
Write down the number of houses Ben sold in January.
(1 mark)
(b)
In April, Ben sold 11 houses.
Show this information on the pictogram.
(1 mark)
(c)
Ben sold a total of 60 houses in the first five months of last year.
Work out the number of houses Ben sold in May.
(3 marks)
Question 7 (3 marks)
(a)
Measure the length of this line.
Give your answer in centimetres.Diagram: A straight line, with a centimetre ruler under it starting at the left end of the line.
(1 mark)
(b)
Measure the size of the angle marked x.
Diagram: An angle marked x, with a protractor placed on it.
(1 mark)
(c)
In the space below, draw a hexagon.
(1 mark)
Question 8 (4 marks)
The points A and B are shown on the grid.
Diagram: A graph.
(a)
Write down the coordinates of the point A.
(1 mark)
(b)
Find the coordinates of the midpoint of AB.
(2 marks)
(c)
On the grid, mark with a cross (×) the point with coordinates (-4, 2)
Label this point C.
(1 mark)
Question 9 (4 marks)
Anil has a job as a driver.
He is paid for each mile he drives.
He is also paid expenses.One week Anil writes down the distance readings from his car.
Start of week: 4 7 2 4 1 miles End of week: 4 7 8 7 9 miles For this week, Anil is paid 47p for each mile he drives.
He is also paid expenses of £80Work out the total amount that Anil is paid.
Give your answer in pounds.(4 marks)
Question 10 (2 marks)
Anita throws a coin 3 times.
Each time the coin can land on heads (H) or tails (T).
List all the possible outcomes.
(2 marks)
Question 11 (1 mark)
Majid has a spinner.
Diagram: A spinner with 3 sections: 2 (90°), 3 (135°), 1 (135°).
Majid is going to spin the arrow.
The arrow can land on 1 or on 2 or on 3Majid says,
“The probability that the arrow will land on 2 is 1/3 because the spinner has three sections.”Is Majid correct?
You must give a reason for your answer.(1 mark)
Question 12 (3 marks)
Saira buys 24 bars of chocolate.
2/3 of the 24 bars are white chocolate.
The rest of the 24 bars are milk chocolate.Each milk chocolate bar has a weight of 35 grams.
Work out the total weight of the milk chocolate bars that Saira buys.
(3 marks)
Question 13 (3 marks)
(a)
Simplify 2c × 3d
(1 mark)
(b)
T = x + 2y
x = 3 and y = -4
Work out the value of T.
(2 marks)
Question 14 (5 marks)
On Monday, Lizzie cycled 36 kilometres in 3 hours.
(a)
Work out Lizzie’s average speed.
(2 marks)
(b)
On Tuesday, Lizzie cycled 36 kilometres at an average speed of 16 kilometres per hour.
Lizzie says that the total time she cycled on Monday and Tuesday was less than 5 hours 20 minutes.
Is Lizzie correct?
You must show how you get your answer.(3 marks)
Question 15 (2 marks)
£3500 is invested in a bank for 6 years.
The bank pays simple interest at a rate of 2.5% per year.Work out the total amount of simple interest paid.
(2 marks)
Question 16 (3 marks)
You can use this graph to change between ounces and grams.
Diagram: A straight-line graph from (0, 0) to about (10, 283): ounces across, grams up.
(a)
Change 6 ounces to grams.
(1 mark)
(b)
Change 1 kg to ounces.
(2 marks)
Question 17 (3 marks)
Here is a triangle ABC.
Diagram: Triangle ABC, drawn accurately: CB along the bottom, about 9.6 cm long, with A above, closer to C.
The region R consists of all points inside the triangle that are
less than 4 cm from A
and closer to C than to B.On the diagram show, by shading, the region R.
(3 marks)
Question 18 (3 marks)
Mrs Simpson organised a school trip for 66 children.
The total cost of the trip was £1800
The school paid 56% of the total cost.
The rest of the total cost was divided equally between the 66 children.Work out how much money each child paid.
(3 marks)
Question 19 (3 marks)
(a)
Work out the value of dfrac√(35.2 + 1.7³)4.6² – 8.91
Write down all the numbers on your calculator display.
(2 marks)
(b)
Write your answer to part (a) correct to 2 significant figures.
(1 mark)
Question 20 (2 marks)
ABC is a right-angled triangle.
Diagram: A diagram.
Work out the length of CB.
Give your answer correct to 3 significant figures.(2 marks)
Question 21 (3 marks)
(a)
Write 90 as a product of its prime factors.
(2 marks)
(b)
A = 2² × 3
B = 2 × 3²
Write down the lowest common multiple (LCM) of A and B.
(1 mark)
Question 22 (2 marks)
The number of hours, H, that some machines take to make 5000 bottles is given by
H = 72/n where n is the number of machines.
On Monday, 6 machines made 5000 bottles.
On Tuesday, 9 machines made 5000 bottles.The machines took more time to make the bottles on Monday than on Tuesday.
How much more time?
(2 marks)
Question 23 (4 marks)
There are only red discs, blue discs and yellow discs in a bag.
There are 24 yellow discs in the bag.Mel is going to take at random a disc from the bag.
The probability that the disc will be yellow is 0.16the number of red discs : the number of blue discs = 5 : 4
Work out the number of red discs in the bag.
(4 marks)
Question 24 (6 marks)
(a)
Complete the table of values for y = x² – x
x –2 –1 0 1 2 3 y 6 0 2 (2 marks)
(b)
On the grid, draw the graph of y = x² – x for values of x from –2 to 3
Diagram: A graph.
(2 marks)
(c)
Use your graph to find estimates for the solutions of the equation x² – x = 4
(2 marks)
Question 25 (4 marks)
Andy, Luke and Tina share some sweets in the ratio 1 : 6 : 14
Tina gives 3/7 of her sweets to Andy.
Tina then gives 121/2\% of the rest of her sweets to Luke.
Tina says,
“Now all three of us have the same number of sweets.”Is Tina correct?
You must show how you get your answer.(4 marks)
Question 26 (4 marks)
ABCD is a quadrilateral.
Diagram: A diagram.
All angles are measured in degrees.
Show that ABCD is a trapezium.
(4 marks)
Question 27 (2 marks)
ABC and DEF are two similar isosceles triangles.
Diagram: A diagram.
DE = DF
Work out the length of DE.
(2 marks)
Question 28 (4 marks)
The table shows information about the weights of 120 oranges.
Weight (w grams) Frequency 50 < w ≤ 100 34 100 < w ≤ 150 29 150 < w ≤ 200 27 200 < w ≤ 250 19 250 < w ≤ 300 11 (a)
Find the class interval that contains the median.
(1 mark)
(b)
Calculate an estimate for the mean weight of the 120 oranges.
Give your answer correct to 3 significant figures.(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.