Edexcel GCSE Foundation November 2022 Paper 1 (non-calculator)
26 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 0.3 as a fraction.
(1 mark)
Question 2 (1 mark)
Work out 3²
(1 mark)
Question 3 (1 mark)
Work out 20 ÷ (3 + 2)
(1 mark)
Question 4 (1 mark)
Write down a factor of 60 that is between 8 and 14
(1 mark)
Question 5 (1 mark)
Simplify 3 × w × 5 × t
(1 mark)
Question 6 (4 marks)
Fay is planning a trip to a theme park for 1 adult and 2 children.
These are the costs for the trip.
Total cost of petrol £23 Tickets to theme park £33 each adult £24.50 each child Meals £15 each adult £10 each child Fay has £200 to spend.
She pays all the costs.How much money does she have left?
(4 marks)
Question 7 (3 marks)
Here is a list of 8 letters.
B C A A A A B A
(a)
Write down the mode.
(1 mark)
(b)(i)
One of the 8 letters is going to be picked at random.
On the probability scale, mark with a cross (×) the probability that this letter will be B.
Diagram: A probability scale from 0 to 1 with a mark at every eighth, labelled 0, one half and 1.
(1 mark)
(ii)
Find the probability that this letter will be C.
(1 mark)
Question 8 (3 marks)
(a)
Solve m – 3 = 4
(1 mark)
(b)
Solve 3n + n = 24
(2 marks)
Question 9 (2 marks)
Diagram: Two straight lines meet at a point. The angle between them is 70°. The angle the other way round, all the way round the point outside the lines, is marked y°.
(a)
Find the value of y.
(1 mark)
(b)
Give a reason for your answer.
(1 mark)
Question 10 (3 marks)
A shop sells jars of coffee.
Each jar of coffee costs £4Michael has £23
(a)
Work out the greatest number of jars of coffee Michael can buy.
(2 marks)
(b)
In a sale on Wednesday, jars of coffee are sold at half price.
Michael thinks that he can now buy exactly twice the number of jars of coffee for £23Is Michael correct?
You must give a reason for your answer.(1 mark)
Question 11 (4 marks)
(a)(i)
Here are two triangles on a grid.
Diagram: A squared grid, 12 squares wide and 7 squares tall, with two shaded triangles. Triangle A has a top side 3 squares long and its point 2 squares below. Triangle B, to the right, has a top side 6 squares long and its point 4 squares below.
Triangle B is an enlargement of triangle A.
Write down the scale factor of the enlargement.
(1 mark)
(ii)
On the grid, mark with a cross (×) the centre of enlargement.
(1 mark)
(b)(i)
Here are two parallelograms on a coordinate grid.
Diagram: A coordinate grid from 0 to 8 on both axes, with parallelogram C at (1, 4), (1, 6), (3, 7) and (3, 5), and parallelogram D at (4, 1), (6, 1), (7, 3) and (5, 3).
Parallelogram D is a reflection of parallelogram C.
On the grid, draw the mirror line.
(1 mark)
(ii)
Write down an equation of this mirror line.
(1 mark)
Question 12 (5 marks)
Elena spent 120 minutes at a sports centre.
She played badminton for 50 minutes.
She used the swimming pool for 1/6 of the 120 minutes.
She used the gym for 20% of the 120 minutes.
She then spent the rest of the 120 minutes in the cafe.(a)
Work out the total time, in minutes, that Elena spent in the cafe.
(4 marks)
(b)
Elena got to the sports centre at 1.30 pm.
She had asked her friend to meet her in the cafe at 3 pm.Did Elena get to the cafe by 3 pm?
Give a reason for your answer.(1 mark)
Question 13 (4 marks)
The composite bar chart shows information about the number of people living in a village.
Diagram: A composite bar chart of the number of people, with a grid line every 10 people. 2000: men from 0 to 60, women (hatched) from 60 to 130, children from 130 to 170 (60 men, 70 women, 40 children). 2010: men from 0 to 70, women (hatched) from 70 to 160, children from 160 to 210 (70 men, 90 women, 50 children). 2020: men from 0 to 90, women (hatched) from 90 to 200, children from 200 to 280 (90 men, 110 women, 80 children).
Diagram: Key: a plain shaded box for children, a hatched box for women and a plain bar for men.
(a)
Write down the number of men living in the village in the year 2000
(1 mark)
(b)
Find the number of children living in the village in the year 2010
(1 mark)
(c)
For the people living in the village in the year 2020
find the ratio of the number of children to the total number of men and women.
(2 marks)
Question 14 (5 marks)
(a)
Jenny drives from London to Swindon at an average speed of 54 miles per hour.
She drives for 11/2 hours.Work out the distance from London to Swindon.
(2 marks)
(b)
Aleksy is using a map.
The map has a scale of 1 : 25 000
On the map a road has a length of 6 cm.Work out the length, in kilometres, of the real road.
(3 marks)
Question 15 (2 marks)
Diagram: A coordinate grid from –5 to 5 on both axes, with point P marked with a cross at (–3, –2) and point Q marked with a cross at (2, 4).
Find the coordinates of the midpoint of PQ.
(2 marks)
Question 16 (4 marks)
Here is a quadrilateral ABCD.
Diagram: A quadrilateral ABCD. AB is along the top, marked x + 1. BC is marked x – 1, DC is marked 2x and AD is marked 2x – 5.
All the measurements are in centimetres.
The perimeter of ABCD is 52 centimetres.
Work out the length of DC.
(4 marks)
Question 17 (5 marks)
There are only blue counters, green counters, red counters and yellow counters in a bag.
The table shows the number of blue counters in the bag.
Colour Number of counters blue 30 green red yellow There is a total of 100 counters in the bag.
(a)
Ashin takes at random a counter from the bag.
Find the probability that the counter is not blue.
(2 marks)
(b)
The ratio of the number of blue counters to the number of green counters is 2 : 3
Work out the number of green counters in the bag.
(2 marks)
(c)
Bradley says,
“The number of red counters in the bag is the same as the number of yellow counters in the bag.”
Can Bradley be correct?
Give a reason for your answer.(1 mark)
Question 18 (5 marks)
There are 240 cans of drink on a shelf.
Each can contains cola or lemonade or orange.the number of cans of cola : the number of cans of lemonade : the number of cans of orange = 5 : 3 : 2
1/2 of the cans of lemonade and 1/12 of the cans of orange are removed from the shelf.
Work out the number of cans of cola as a percentage of the total number of cans of drink remaining on the shelf.
(5 marks)
Question 19 (3 marks)
Write 500 as a product of powers of its prime factors.
(3 marks)
Question 20 (4 marks)
(a)
Work out 13/5 + 21/4
Give your answer as a mixed number.(2 marks)
(b)
Show that 22/3 ÷ 6 = 4/9
(2 marks)
Question 21 (2 marks)
Simplify (2⁻⁵ × 2⁸)²
Give your answer as a power of 2(2 marks)
Question 22 (2 marks)
Work out 0.004 × 0.32
(2 marks)
Question 23 (2 marks)
A car factory is going to make four different car models A, B, C and D.
80 people are asked which of the four models they would be most likely to buy.
The table shows information about the results.Car model Number of people A 23 B 15 C 30 D 12 The factory is going to make 40 000 cars next year.
Work out how many model B cars the factory should make next year.
(2 marks)
Question 24 (6 marks)
Rizwan writes down three numbers a, b and c
a : b = 1 : 3
b : c = 6 : 5(a)(i)
Find a : b : c
(2 marks)
(ii)
Express a as a fraction of the total of the three numbers a, b and c
(2 marks)
(b)
Emma writes down three numbers m, n and p
n = 2m
p = 5nFind m : p
(2 marks)
Question 25 (2 marks)
Diagram: A storage tank in the shape of a cuboid.
pressure = dfracforcearea A storage tank exerts a force of 10 000 newtons on the ground.
The base of the tank in contact with the ground is a 4 m by 2 m rectangle.Work out the pressure on the ground due to the tank.
(2 marks)
Question 26 (5 marks)
(a)
Solve 5x/2 + 3 > 18
(3 marks)
(b)
Factorise x² + 10x + 9
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.