Edexcel GCSE Foundation November 2021 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 31% as a fraction.
(1 mark)
Question 2 (1 mark)
Change 3 metres into centimetres.
(1 mark)
Question 3 (1 mark)
Write the following numbers in order of size.
Start with the smallest number.1.02 0.12 1.20 0.21
(1 mark)
Question 4 (2 marks)
(a)
Simplify m + m + m + m
(1 mark)
(b)
Simplify 12p ÷ 4
(1 mark)
Question 5 (2 marks)
The diagram shows a rectangle.
Diagram: A rectangle 35 m long and 20 m wide.
On the centimetre grid below, draw an accurate scale drawing of this rectangle.
Use a scale of 1 cm to represent 5 m.Diagram: A centimetre grid, 10 squares wide and 7 squares tall.
(2 marks)
Question 6 (2 marks)
Here is a list of whole numbers from 21 to 30
21 22 23 24 25 26 27 28 29 30
(a)
From the list, write down a square number.
(1 mark)
(b)
From the list, write down a multiple of 8
(1 mark)
Question 7 (3 marks)
A baker has three bags of flour, A, B and C.
Bag A and bag B contain the same amount of flour.
Bag C contains 940 g of flour.In the three bags, there is a total of 2500 g of flour.
Work out the amount of flour in bag A.
(3 marks)
Question 8 (3 marks)
5 students throw a dice.
They each throw the dice the same number of times.The diagram gives information about the number of times the dice lands on each number.
Diagram: Bar chart. 1: 6. 2: 4. 3: 5. 4: 8. 5: 7. 6: 5.
Work out how many times each student throws the dice.
(3 marks)
Question 9 (1 mark)
Alec needs to work out the value of 2 + 3 × 4
He writes
2 + 3 = 5 and 5 × 4 = 20, so 2 + 3 × 4 = 20
Alec is wrong.
Explain why.
(1 mark)
Question 10 (1 mark)
Write 17 as a fraction of 30
(1 mark)
Question 11 (2 marks)
Reflect shape A in the mirror line.
Diagram: A squared grid, 8 squares wide and 10 squares tall, with a horizontal dashed mirror line 5 squares up. Shape A is a triangle above the line: a vertical side 1 square long, 3 and 4 squares above the line, and a point 2 squares to the right, 2 squares above the line.
(2 marks)
Question 12 (3 marks)
(a)
Work out √(13.82/4.06)
Write down all the figures on your calculator display.
(2 marks)
(b)
Give your answer to part (a) correct to 2 decimal places.
(1 mark)
Question 13 (3 marks)
Diagram: A straight line RST. Two lines go up from S. The angle between ST and the first line is 84°, the angle between the two lines is 75°, and the angle between the second line and SR is x°.
RST is a straight line.
(i)
Work out the value of x.
(2 marks)
(ii)
Give a reason for your answer.
(1 mark)
Question 14 (3 marks)
Nazima uses this graph to find out how much money she is paid for the number of hours she has worked.
Diagram: A straight-line graph of pay in pounds against hours worked, from (0, 0) to (5, 75).
(a)
How much money is Nazima paid for each hour she works?
(1 mark)
(b)
Last week Nazima worked for 36 hours.
How much money was Nazima paid?
(2 marks)
Question 15 (2 marks)
Write the following fractions in order of size.
Start with the smallest fraction.5/8 2/3 4/9 3/5
(2 marks)
Question 16 (5 marks)
The pie chart gives information about the colour of each car in a car park.
Diagram: Pie chart. black: a right angle. white: 80°. other colours: the rest of the circle.
There are 135 black cars in the car park.
(a)
Work out the number of white cars in the car park.
(3 marks)
(b)
There are 50 grey cars in the car park.
A car in the car park is picked at random.Find the probability that this car is grey.
(2 marks)
Question 17 (5 marks)
60 people are asked if they prefer to text or to email their friends.
38 of the people are women and the rest are men.
15 of the men prefer to email their friends.
60% of the people prefer to text their friends.Complete the frequency tree for this information.
Diagram: A frequency tree: 60 at the start, branching into men and women, then each branching into text and email.
(5 marks)
Question 18 (3 marks)
The incomplete table gives some information about the lengths of the planks of wood in Ben’s workshop.
Length of plank (metres) Number of planks 3 5 2.5 8 2 1.5 14 1 10 The total length of these planks is 92 metres.
Work out the number of planks of length 2 metres in Ben’s workshop.
(3 marks)
Question 19 (4 marks)
Rachel, Samina and Tom share £600 between them.
Rachel gets 2/5 of the £600
Samina gets 1/4 of the money that is left over.
Tom gets the rest of the money.
Tom says,
“I would have got more money if we had shared the £600 equally between us.”
Is Tom correct?
You must show how you get your answer.(4 marks)
Question 20 (2 marks)
(a)
Simplify c⁵ ÷ c²
(1 mark)
(b)
Simplify (d⁴)³
(1 mark)
Question 21 (3 marks)
(a)
Write down the inequality shown on this number line.
Diagram: A number line for x from -5 to 5, with an open circle at -1 and an arrow from it pointing right, drawn just above the number line.
(1 mark)
(b)
On the number line below, show the inequality -3 ≤ y < 4
Diagram: A number line for y from -5 to 5.
(2 marks)
Question 22 (4 marks)
(a)
Find the Highest Common Factor (HCF) of 60 and 84
(2 marks)
(b)
Find the Lowest Common Multiple (LCM) of 24 and 40
(2 marks)
Question 23 (5 marks)
Sam drives his car on a journey.
Here is the travel graph for the first 15 minutes of his journey.Diagram: Travel graph: time of day across, from 10 00 to 10 50; distance travelled in kilometres up the side, from 0 to 50. (10 00, 0 km) to (10 15, 20 km).
(a)
Work out Sam’s speed, in km/h, for the first 15 minutes of his journey.
(2 marks)
(b)
At 10 15 Sam stops for 10 minutes and then drives for 20 minutes at a speed of 75 km/h.
On the grid, complete the travel graph for Sam’s journey.
(3 marks)
Question 24 (6 marks)
(a)
Complete the table of values for y = x² – 2x + 2
x –2 –1 0 1 2 3 4 y 10 2 5 (2 marks)
(b)
On the grid, draw the graph of y = x² – 2x + 2 for values of x from –2 to 4
Diagram: A graph.
(2 marks)
(c)
Use your graph to find estimates of the solutions of the equation x² – 2x + 2 = 4
(2 marks)
Question 25 (4 marks)
Here is a right-angled triangle.
Diagram: A right-angled triangle with sides 8 mm and 10 mm next to the right angle.
The shaded shape below is made from two of these triangles.
Diagram: A shaded shape made from two copies of the triangle. The second triangle has its right angle at the top of the 8 mm side; its 10 mm side lies along the sloping side of the first triangle and its 8 mm side goes up from the right angle.
Work out the perimeter of the shaded shape.
Give your answer correct to 3 significant figures.(4 marks)
Question 26 (4 marks)
(a)
ABC is a right-angled triangle.
Diagram: A diagram.
Work out the length of BC.
Give your answer correct to 1 decimal place.(2 marks)
(b)
PQR is a right-angled triangle.
Diagram: A diagram.
Work out the size of the angle marked x.
Give your answer correct to 1 decimal place.(2 marks)
Question 27 (3 marks)
Solve x² – 7x – 18 = 0
(3 marks)
Question 28 (2 marks)
In a sale, the normal price of a boat is reduced by 15%
The sale price of the boat is £272 000Work out the normal price of the boat.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.