Edexcel GCSE Foundation November 2020 Paper 1 (non-calculator)
30 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 of size.
Start with the smallest number.0.32 0.4 0.35 0.309
(1 mark)
Question 2 (1 mark)
Here is a list of numbers.
5 11 18 22 29
From the list, write down a multiple of 3
(1 mark)
Question 3 (1 mark)
Write 4.666 correct to the nearest whole number.
(1 mark)
Question 4 (1 mark)
Write 3/4 as a decimal.
(1 mark)
Question 5 (1 mark)
Write down the value of the 7 in the number 8765
(1 mark)
Question 6 (2 marks)
Gita spins a fair 8-sided spinner.
Diagram: A regular 8-sided spinner split into 8 equal triangles. Clockwise from the top the letters are A, A, A, B, C, C, C, C. A pointer sits across the centre.
(a)
On the probability scale, mark with a cross (×) the probability that the spinner will land on C.
Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
(b)
On the probability scale, mark with a cross (×) the probability that the spinner will land on D.
Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
Question 7 (4 marks)
The incomplete pictogram shows information about the number of eggs sold from a farm shop on Monday.
Diagram: An incomplete pictogram with rows for Monday, Tuesday, Wednesday. Monday has 1.5 symbols (each a square split into quarters). Tuesday and Wednesday are empty. Beside it is an empty box labelled Key.
On Monday the shop sold 18 eggs.
On Tuesday the shop sold 24 eggs.
On Wednesday the shop sold 27 eggs.Use this information to complete the pictogram and the key.
(4 marks)
Question 8 (3 marks)
Diagram: A coordinate grid with x and y from –5 to 5. Point A is marked with a cross and point B is marked with a cross on the y-axis.
(a)
Write down the coordinates of the point A.
(1 mark)
(b)
Write down the coordinates of the point B.
(1 mark)
(c)
On the grid, mark with a cross (×) the point (-2, 1)
Label this point C.(1 mark)
Question 9 (3 marks)
(a)
A bag contains red counters and blue counters only.
number of red counters : number of blue counters = 3 : 4
Write down the fraction of the counters that are red.
(1 mark)
(b)
Write the ratio 12 : 30 in the form 1 : n
(2 marks)
Question 10 (4 marks)
Jenny has 12 marbles.
1/4 of these 12 marbles are large.
The rest of these 12 marbles are small.Each large marble has a weight of 70 grams.
Each small marble has a weight of 50 grams.Work out the total weight of the 12 marbles.
(4 marks)
Question 11 (2 marks)
Reflect the shaded shape in the mirror line.
Diagram: A squared grid, 10 squares wide and 6 squares tall, with a vertical dashed mirror line down the middle. A shaded shape to the right of the line: a tall right-angled triangle, 4 squares high, with its vertical side 4 squares from the line, and a small 1 by 1 step cut out at its bottom left.
(2 marks)
Question 12 (3 marks)
The diagram shows a number machine.
Diagram: Number machine: input, then × 2, then – 3, then output.
(a)
Find the output when the input is 7
(1 mark)
(b)
Find the input when the output is 41
(2 marks)
Question 13 (4 marks)
The diagram shows two points, A and B, on a map.
Diagram accurately drawn
Diagram: An accurately drawn map with two points A and B marked by crosses. A north line points straight up from each point. B is above and to the right of A. A centimetre scale bar, 0 to 3 cm, is drawn under the map so lengths can be measured on screen.
Scale: 1 to 25 000
(a)
Find the bearing of B from A.
(1 mark)
(b)
Work out the real distance between A and B.
Give your answer in kilometres.(3 marks)
Question 14 (3 marks)
Ishmael asked 30 students at college to tell him the sport they each like the best from cricket or tennis or swimming.
11 of the 20 female students said swimming.
2 of the male students said tennis.
5 students said cricket.The number of male students who said cricket was the same as the number of male students who said swimming.
Complete the two-way table.
Cricket Tennis Swimming Total Male students Female students 20 Total 30 (3 marks)
Question 15 (3 marks)
Jamil makes a drink by mixing
1 part of orange squash with 9 parts of water.He uses 750 millilitres of orange squash.
Jamil is going to put the drink he has mixed into 1 litre bottles.
Work out the greatest number of 1 litre bottles that Jamil can completely fill.
(3 marks)
Question 16 (2 marks)
The table gives information about the number of points scored by each of 16 students in a game.
Number of points Frequency 0 1 1 3 2 5 3 4 4 3 (a)
Tina worked out the median of the number of points scored to be 5
Explain why it is not possible for the median to be 5
(1 mark)
(b)
Tina also worked out the total number of points scored by the 16 students in the game.
Here is her working.(0 × 1) + (1 × 3) + (2 × 5) + (3 × 4) + (4 × 3) = 1 + 3 + 10 + 12 + 12 = 38
Tina made a mistake in her working to find the total number of points scored.
Describe the mistake that Tina made.
(1 mark)
Question 17 (5 marks)
In a shop, a TV has a normal price of £500
The shop has a sale.
On Monday, the normal price of the TV is reduced by 1/10 to give the sale price.
On Tuesday, the sale price of the TV is reduced by 20%Chris wants to buy the TV.
He has £400 to spend on the TV.Does Chris have enough money to buy the TV on Tuesday?
You must show how you get your answer.(5 marks)
Question 18 (3 marks)
Work out an estimate for (790 × 289)/49
(3 marks)
Question 19 (4 marks)
(a)
Expand x(x – 4)
(1 mark)
(b)
Factorise 15y – 10
(1 mark)
(c)
Solve 7(f – 5) = 28
(2 marks)
Question 20 (2 marks)
The first five terms of an arithmetic sequence are
1 4 7 10 13
Write down an expression, in terms of n, for the nth term of this sequence.
(2 marks)
Question 21 (3 marks)
Show that 21/3 × 33/4 = 83/4
(3 marks)
Question 22 (2 marks)
The diagram shows four graphs.
Graph A
Diagram: Graph A: two curves, top right and bottom left, never touching the axes.
Graph B
Diagram: Graph B: an S-shaped curve through O, falling from top left to bottom right.
Graph C
Diagram: Graph C: an S-shaped curve through O, rising from bottom left to top right.
Graph D
Diagram: Graph D: a U-shaped curve with its lowest point at O.
Each of the equations in the table is the equation of one of the graphs.
Complete the table.
Equation Letter of graph y = -x³ y = x³ y = x² y = 1/x (2 marks)
Question 23 (1 mark)
The diagram shows four triangles.
Triangle A
Diagram: Triangle A: a base of 10 cm with angles of 55° and 45° at its two ends.
Triangle B
Diagram: Triangle B: a base of 8 cm with an angle of 45° at its left end; the side from the right end of the base to the top is 10 cm.
Triangle C
Diagram: Triangle C: a base of 10 cm; the right-hand side is 8 cm and the angle at the top is 55°.
Triangle D
Diagram: Triangle D: the angle at the top is 45° and the angle at the left is 80°; the right-hand side, from the top down to the bottom, is 10 cm.
Two of these triangles are congruent.
Write down the letters of these two triangles.
(1 mark)
Question 24 (3 marks)
Sean pays £10 for 24 chocolate bars.
He sells all 24 chocolate bars for 50p each.Work out Sean’s percentage profit.
(3 marks)
Question 25 (5 marks)
ADC is a triangle.
Diagram: Triangle ADC with A at the top, D at the bottom left and C at the bottom right. E is on AD and B is on AC, and EB is parallel to DC (arrows on both). Angle EBC, below EB at B, is 148°. Angle ADC is 63°.
AED and ABC are straight lines.
EB is parallel to DC.Angle EBC = 148°
Angle ADC = 63°Work out the size of angle EAB.
You must give a reason for each stage of your working.(5 marks)
Question 26 (3 marks)
The table shows information about the heights, in cm, of a group of Year 9 girls.
least height 150 cm median 165 cm greatest height 170 cm This stem and leaf diagram shows information about the heights, in cm, of a group of 15 Year 9 boys.
Diagram: Stem and leaf diagram. Stem 15, leaves 8 9 9; Stem 16, leaves 4 5 7 7 8; Stem 17, leaves 0 3 4 4 7; Stem 18, leaves 0 2. Key: 15 | 8 represents 158 cm.
Compare the distribution of the heights of the girls with the distribution of the heights of the boys.
(3 marks)
Question 27 (3 marks)
The diagram shows a prism placed on a horizontal floor.
Diagram: A prism with a hexagon at each end, standing on one hexagonal end on the floor. Its vertical height is labelled 3 m. The hidden edges at the back are dashed.
pressure = dfracforcearea The prism has height 3 m
The volume of the prism is 18 m³The pressure on the floor due to the prism is 75 newtons/m²
Work out the force exerted by the prism on the floor.
(3 marks)
Question 28 (2 marks)
Write these numbers in order of size.
Start with the smallest number.6.72 × 10⁵ 67.2 × 10⁻⁴ 672 × 10⁴ 0.000 672
(2 marks)
Question 29 (3 marks)
Given that a/b = 2/5 and b/c = 3/4
find a : b : c
(3 marks)
Question 30 (3 marks)
(a)
Make q the subject of p = 6q + 7
(2 marks)
(b)
Simplify (m⁻²)⁻³
(1 mark)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.