Edexcel GCSE Foundation November 2019 Paper 3 (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 down two factors of 12
(1 mark)
Question 2 (1 mark)
Find 1/3 of 30
(1 mark)
Question 3 (1 mark)
Write 0.7 as a fraction.
(1 mark)
Question 4 (1 mark)
Here is a list of numbers.
7 8 15 16 18 22
Write down the number from the list that is a multiple of 6
(1 mark)
Question 5 (1 mark)
Change 4 kilometres into metres.
(1 mark)
Question 6 (1 mark)
Here is a grid of squares.
Diagram: A grid of squares, 4 across and 2 down. 3 of the 8 squares are shaded.
Write down the ratio of the number of shaded squares to the number of unshaded squares.
(1 mark)
Question 7 (2 marks)
w = 4u + 3
Find the value of w when u = 8
(2 marks)
Question 8 (2 marks)
Here are the first five terms of a sequence.
1 3 6 10 15
Write down the next two terms of the sequence.
(2 marks)
Question 9 (6 marks)
Mrs Brown asked each child in her class which pet they liked best.
Here are her results.dog rabbit cat dog dog hamster cat dog rabbit hamster cat cat dog dog cat dog rabbit dog
(a)
Complete the frequency table for this information.
Pet Tally Frequency dog rabbit cat hamster (2 marks)
(b)
On the grid below, draw a bar chart for this information.
Diagram: A blank grid of squares, 10 across and 10 up, with an axis along the bottom and up the left side.
(3 marks)
(c)
Write down the most popular pet.
(1 mark)
Question 10 (2 marks)
(a)
Diagram: A circle with its centre marked with a dot.
On the diagram above, draw a diameter of the circle.
(1 mark)
(b)
On the diagram below, draw a segment of the circle.
Shade the segment.Diagram: A circle.
(1 mark)
Question 11 (5 marks)
Dylan buys 13 bicycle lights for £7.50 each.
He pays with five £20 notes.(a)
How much change should Dylan get?
(3 marks)
(b)
The normal price of a bicycle is £120
In a sale, there is 1/5 off the normal price of the bicycle.
Work out the price of the bicycle in the sale.
(2 marks)
Question 12 (3 marks)
Cornflakes are sold in two sizes of box.
Size of box Weight of cornflakes small 450 g large 750 g Rae buys 3 small boxes of cornflakes and some large boxes of cornflakes.
In total she buys 5850 g of cornflakes.Work out the number of large boxes of cornflakes Rae buys.
(3 marks)
Question 13 (2 marks)
The stem and leaf diagram below gives information about the ages of people in a social club.
Diagram: Stem and leaf diagram. Stem 3, leaves 1 4 5; Stem 4, leaves 0 2 2 5 6; Stem 5, leaves 0 1 7 7 8 9; Stem 6, leaves 3 4 5 9; Stem 7, leaves 0 4. Key: 4 | 2 represents 42 years.
Find the range of these ages.
(2 marks)
Question 14 (2 marks)
Here is a rectangle.
Diagram: A rectangle 7 cm long and 3 cm high.
(a)
Coby has to find the perimeter of this rectangle.
He writes,
Perimeter = 7 × 3
What mistake has Coby made?
(1 mark)
(b)
Here is a triangle.
Diagram: A triangle. Its base is x cm, its left side is (x + 8) cm and its right side is (x + 7) cm.
Iram solves a problem about this triangle to find the value of x.
Her answer is
x = -2
Explain why Iram’s answer must be wrong.
(1 mark)
Question 15 (4 marks)
There are 800 students at a school.
Each student has either a school dinner or a packed lunch.31% of the students have packed lunches.
55% of the students are boys.
60% of the boys have school dinners.How many girls have packed lunches?
You must show all your working.(4 marks)
Question 16 (4 marks)
In a bag there are only red counters, blue counters, green counters and yellow counters.
A counter is taken at random from the bag.The table shows the probabilities of getting a red counter or a yellow counter.
Colour red blue green yellow Probability 0.4 0.25 the number of blue counters : the number of green counters = 3 : 4
Complete the table.
(4 marks)
Question 17 (4 marks)
(a)
Complete the table of values for y = 4x – 6
x –1 0 1 2 3 4 y –2 10 (2 marks)
(b)
On the grid, draw the graph of y = 4x – 6 for values of x from –1 to 4
Diagram: A coordinate grid, x from –1 to 4 and y from –14 to 14.
(2 marks)
Question 18 (2 marks)
Diagram: A coordinate grid, x from –3 to 6 and y from –2 to 8, with a triangle P at (1, 4), (1, 7), (2, 4).
Reflect shape P in the line y = 3
(2 marks)
Question 19 (2 marks)
Solve 4(x – 6) = 44
(2 marks)
Question 20 (4 marks)
ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
A = {multiples of 3}
B = {even numbers}Complete the Venn diagram for this information.
Diagram: A Venn diagram: a rectangle with two overlapping circles inside it.
(4 marks)
Question 21 (3 marks)
Franco buys a house for £146 500
He sells the house for £158 220Calculate the percentage profit Franco makes.
(3 marks)
Question 22 (4 marks)
(a)
Expand and simplify (x + 5)(x – 9)
(2 marks)
(b)
Factorise fully 9x² + 6x
(2 marks)
Question 23 (3 marks)
(a)
Use your calculator to work out
dfrac29² – 4.6√(35 – 1.9³)
Write down all the figures on your calculator display.
(2 marks)
(b)
Write your answer to part (a) correct to 4 significant figures.
(1 mark)
Question 24 (2 marks)
The scatter graph shows information about the marks a group of students got in a Science
test and in a Maths test.Diagram: A scatter graph of Maths test mark against Science test mark for 12 students, both from 0 to 60. The crosses go up from bottom left to top right.
Jamie got a mark of 34 in the Science test.
Using the scatter graph, find an estimate for Jamie’s mark in the Maths test.
(2 marks)
Question 25 (3 marks)
The table gives information about the times taken, in seconds, by 18 students to run a race.
Time (t seconds) Frequency 5 < t ≤ 10 1 10 < t ≤ 15 2 15 < t ≤ 20 7 20 < t ≤ 25 8 Work out an estimate for the mean time.
Give your answer correct to 3 significant figures.(3 marks)
Question 26 (1 mark)
Write 37 cm³ in mm³
(1 mark)
Question 27 (4 marks)
Nimer was driving to a hotel.
He looked at his Sat Nav at 13 30Time 13 30 Distance to destination 65 miles Nimer arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.(4 marks)
Question 28 (3 marks)
(a)
Write 32 460 000 in standard form.
(1 mark)
(b)
Write 4.96 × 10⁻³ as an ordinary number.
(1 mark)
(c)
Asma was asked to compare the following two numbers.
A = 6.212 × 10⁸ and B = 4.73 × 10⁹
She says,
“6.212 is bigger than 4.73 so A is bigger than B.”
Is Asma correct?
You must give a reason for your answer.(1 mark)
Question 29 (4 marks)
The diagram shows a regular pentagon and a parallelogram.
Diagram: A regular pentagon with its bottom side horizontal. A parallelogram sits inside it on the same bottom line, sharing the bottom left corner. The parallelogram’s angle at its top left corner is 117°. The angle x is at the bottom left corner, between the side of the pentagon and the slanting side of the parallelogram.
Work out the size of the angle marked x.
You must show all your working.(4 marks)
Question 30 (3 marks)
A is in the shape of a quarter circle of radius 15 cm.
B is in the shape of a circle.Diagram: Shape A is a quarter circle with a right angle at its bottom left corner and a radius of 15 cm along the bottom. Shape B, to its right, is a small circle, drawn to the same scale.
The area of A is 9 times the area of B.
Show that the radius of B is 2.5 cm.
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.