Edexcel GCSE Foundation November 2018 Paper 1 (non-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 of size.
Start with the smallest number.0.4 0.02 0.37 0.152 0.2
(1 mark)
Question 2 (1 mark)
Write 0.6 as a percentage.
(1 mark)
Question 3 (1 mark)
Here is a list of numbers.
3 5 7 12 15 18 20
From the list, write down a factor of 10
(1 mark)
Question 4 (1 mark)
Write 7829 to the nearest 1000
(1 mark)
Question 5 (3 marks)
(a)
Work out 3 × 5 + 7
(1 mark)
(b)
Work out 2³
(1 mark)
(c)
Write brackets ( ) in this statement to make it correct.
7 × 2 + 3 = 35
(1 mark)
Question 6 (3 marks)
Sue has 2 cats.
Each cat eats 1/4 of a tin of cat food each day.
Sue buys 8 tins of cat food.
Has Sue bought enough cat food to feed her 2 cats for 14 days?
You must show how you get your answer.(3 marks)
Question 7 (3 marks)
There are only apple trees, cherry trees, pear trees and plum trees in an orchard.
The pictogram shows information about the numbers of apple trees, cherry trees and
pear trees in the orchard.Diagram: Pictogram. Key: one square represents 4 trees. Apple: 3 squares. Cherry: 1.25 squares. Pear: 1.5 squares. Plum: blank.
There is a total of 30 trees in the orchard.
Complete the pictogram.
(3 marks)
Question 8 (3 marks)
Diagram: A coordinate grid with x and y from –5 to 5. A cross labelled A is at (–2, –1).
(a)
Write down the coordinates of point A.
(1 mark)
(b)
On the grid, mark with a cross (×) the point (2, 3)
Label this point B.(1 mark)
(c)
On the grid, draw the line with equation x = -4
(1 mark)
Question 9 (2 marks)
g = 9
h = 4Work out the value of 2g + 3h
(2 marks)
Question 10 (2 marks)
Write down two prime numbers that have a sum of 32
(2 marks)
Question 11 (3 marks)
Here are some fractions.
9/12 6/8 18/24 10/16 15/20
(a)
One of these fractions is not equivalent to 3/4
Which fraction?
(1 mark)
(b)
Work out 1/12 + 5/6
(2 marks)
Question 12 (3 marks)
Tom uses his lorry to deliver bricks.
You can use this graph to find the delivery cost for different distances.
Diagram: A straight-line graph of delivery cost (£) against distance (miles). Small squares are 1 mile across and 2 pounds up. The line goes from (0, 10) to (60, 100).
For each delivery, there is a fixed charge plus a charge for the distance.
(a)
How much is the fixed charge?
(1 mark)
(b)
Tom makes two deliveries of bricks.
The distance of one delivery is 20 miles more than the distance of the other delivery.Work out the difference between the two delivery costs.
(2 marks)
Question 13 (2 marks)
Azmol, Ryan and Kim each played a game.
Azmol’s score was four times Ryan’s score.
Kim’s score was half of Azmol’s score.Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.
(2 marks)
Question 14 (4 marks)
The diagram shows quadrilateral ABCD with each of its sides extended.
Diagram: Quadrilateral ABCD with each of its sides extended past both ends. A is at the bottom left with D to its right, B is above A and C is at the top right. AB and AD are marked equal. Angle DAB is marked 100°; at D, the angle between DC and AD extended is marked 75°; at C, the angle between DC extended and BC extended is marked 50°.
AB = AD
Show that ABCD is a kite.
Give a reason for each stage of your working.(4 marks)
Question 15 (4 marks)
Shahid is going to use these instructions to make a fizzy drink.
Mix 5 parts of orange juice
with 2 parts of lemonadeShahid thinks that he has 300 ml of orange juice and 200 ml of lemonade.
(a)
If Shahid is correct, what is the greatest amount of fizzy drink he can make?
(3 marks)
(b)
Shahid has 300 ml of orange juice but he only has 160 ml of lemonade.
Does this affect the greatest amount of fizzy drink he can make?
Give a reason for your answer.(1 mark)
Question 16 (1 mark)
Here are two rectangles.
Diagram: Two rectangles. The first is 8 cm wide and 6 cm high. The second is 12 cm wide and 10 cm high.
Jim says,
“The two rectangles are similar because 8 + 4 = 12 and 6 + 4 = 10”
Is Jim correct?
Explain your answer.(1 mark)
Question 17 (5 marks)
80 people are asked if they like coffee.
48 of these people are women.
61 of the 80 people like coffee.
8 of the men do not like coffee.(a)
Use this information to complete the frequency tree.
Diagram: A frequency tree: 80 at the start, branching into men and women, then each branching into like coffee and do not like coffee. The other six ovals are empty.
(3 marks)
(b)
One of the people who like coffee is chosen at random.
Find the probability that this person is a woman.
(2 marks)
Question 18 (4 marks)
Food Mart and Jan’s Store sell boxes of the same type of breakfast cereal.
Each shop has a special offer.
Diagram: Two boxes of cereal. Food Mart: 400 g 20% off the normal price of £5. Jan’s Store: 400 g plus 30% extra £5.
Which box of cereal is the better value for money?
You must show your working.(4 marks)
Question 19 (2 marks)
Diagram: A coordinate grid with x and y from –6 to 6. Shape A is a quadrilateral with corners at (–3, 5), (–2, 5), (–2, 3), (–3, 4).
Rotate shape A 180° about (1, 0)
(2 marks)
Question 20 (2 marks)
Work out the value of dfrac3⁷ × 3⁻² 3³
(2 marks)
Question 21 (4 marks)
v² = u² + 2a s
u = 12 a = -3 s = 18
(a)
Work out a value of v.
(2 marks)
(b)
Make s the subject of v² = u² + 2a s
(2 marks)
Question 22 (5 marks)
A bonus of £2100 is shared by 10 people who work for a company.
40% of the bonus is shared equally between 3 managers.
The rest of the bonus is shared equally between 7 salesmen.One of the salesmen says,
“If the bonus is shared equally between all 10 people I will get 25% more money.”
Is the salesman correct?
You must show how you get your answer.(5 marks)
Question 23 (3 marks)
It would take 120 minutes to fill a swimming pool using water from 5 taps.
(a)
How many minutes will it take to fill the pool if only 3 of the taps are used?
(2 marks)
(b)
State one assumption you made in working out your answer to part (a).
(1 mark)
Question 24 (4 marks)
A plane travels at a speed of 213 miles per hour.
(a)
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
(3 marks)
(b)
Is your answer to part (a) an underestimate or an overestimate?
Give a reason for your answer.(1 mark)
Question 25 (3 marks)
Solve the simultaneous equations
5x + y = 21
x – 3y = 9(3 marks)
Question 26 (4 marks)
The diagram shows a square ABCD with sides of length 20 cm.
It also shows a semicircle and an arc of a circle.Diagram: A square ABCD with sides of 20 cm, A at the bottom left and B at the bottom right. A semicircle with diameter AB is drawn inside the square, and an arc of the circle centred at B goes from A up to C. The region between the arc and the semicircle is shaded.
AB is the diameter of the semicircle.
AC is an arc of a circle with centre B.Show that dfracarea of shaded regionarea of square = (π)/8
(4 marks)
Question 27 (4 marks)
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls.
In the second bag there are 5 red balls and 4 green balls.Amina takes at random a ball from the first bag.
She then takes at random a ball from the second bag.(a)
Complete the probability tree diagram.
Diagram: A probability tree diagram for the first bag and the second bag. first bag: red (3/10) or green (a blank). After each, second bag: red or green, with 5/9, a blank, a blank, a blank on the four branches.
(2 marks)
(b)
Work out the probability that Amina takes two red balls.
(2 marks)
Question 28 (3 marks)
The size of each interior angle of a regular polygon is 11 times the size of each exterior angle.
Work out how many sides the polygon has.
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.