Edexcel GCSE Foundation November 2019 Paper 2 (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 these numbers in order of size.
Start with the smallest number.8 –4 1 –7 –2
(1 mark)
Question 2 (1 mark)
Write the number 8375 correct to the nearest thousand.
(1 mark)
Question 3 (1 mark)
Write 0.23 as a percentage.
(1 mark)
Question 4 (1 mark)
Find the value of √17.64
(1 mark)
Question 5 (1 mark)
Find the value of 6⁵
(1 mark)
Question 6 (3 marks)
There are 14 rows of seats in a cinema.
There are 15 seats in each row.A film was shown in the cinema on Saturday.
Each ticket for the film cost £6.50The tickets that were sold cost a total of £1274
How many tickets were not sold?
(3 marks)
Question 7 (2 marks)
Harry has 20 sweets.
He gives 7 of the sweets to Nadia.What fraction of the 20 sweets does Harry have now?
(2 marks)
Question 8 (2 marks)
Here is a number machine.
Diagram: Number machine: input, then × 8, then – 5, then output.
(a)
Work out the output when the input is 6
(1 mark)
(b)
Here is a different number machine.
Diagram: Number machine: input, then + 13, then ……, then output.
When the input is 17, the output is 10
Complete the number machine.
(1 mark)
Question 9 (6 marks)
Here is a list of numbers.
6 4 8 9 4 3
(a)
Work out the median.
(2 marks)
(b)
Aisha picks at random one of the numbers.
What is the probability that she picks an odd number?
(2 marks)
(c)
Clara has five cards.
There is a number on each card.
Two of the numbers are hidden.Diagram: Five cards in a row showing 3, a question mark (hidden), 8, 5, a question mark (hidden).
The mode of the five numbers is 3
The mean of the five numbers is 5Work out the two numbers that are hidden.
(2 marks)
Question 10 (3 marks)
Here is the charge at a car park in Spain.
Car park 0.024 euros per minute Jon parked his car in this car park.
Jon drove into the car park at 10 45
When he drove out of the car park he had to pay 8.40 euros.At what time did Jon drive out of the car park?
(3 marks)
Question 11 (3 marks)
You can use this graph to change between stones and kilograms.
Diagram: A straight-line conversion graph through (0, 0) and (10, 63.5): stones from 0 to 10 across, kilograms from 0 to 70 up.
(a)
Change 3 stones to kilograms.
(1 mark)
(b)
Change 80 kilograms to stones.
(2 marks)
Question 12 (2 marks)
Find the number that is exactly halfway between 1/10 and 3/5
(2 marks)
Question 13 (2 marks)
Diagram: A squared grid, 18 squares wide and 17 squares tall. A shaded quadrilateral has corners at (2, 2), (4, 2), (5, 5), (2, 4), counting squares from the bottom left corner of the grid.
On the grid, draw an enlargement of the shaded shape with a scale factor of 3
(2 marks)
Question 14 (3 marks)
A shop sells compost in 20 litre bags and in 40 litre bags.
One day the shop had two special offers for the compost.20 litres 40 litres 2 bags for £3.50 3 bags for £9 Which offer is the better value for money?
You must show how you get your answer.(3 marks)
Question 15 (3 marks)
The length of a plane is 19.2 metres.
Lukas buys a scale model of the plane.
The scale of the model is 1 : 24Work out the length of the scale model of the plane.
Give your answer in centimetres.(3 marks)
Question 16 (2 marks)
Maria invests £4500 in a savings account for 3 years.
The account pays simple interest at a rate of 1.8% per year.Work out the total amount of interest Maria gets by the end of the 3 years.
(2 marks)
Question 17 (4 marks)
Diagram: Triangle ADC with AC across the bottom and D at the top. B is on AC, and BD is drawn. AB, BC and BD are marked as equal. The angle DAB is 64° and the angle BCD is marked x.
ABC is a straight line.
AB = BC = BD.
Angle DAB = 64°Work out the size of the angle marked x.
Give a reason for each stage of your working.(4 marks)
Question 18 (4 marks)
Ben is n years old.
Chloe is twice as old as Ben.
Dan is five years younger than Ben.The total of Ben’s age, Chloe’s age and Dan’s age is T years.
(a)
Find a formula for T in terms of n.
(3 marks)
(b)
In the table below, put a tick (✓) in the box next to the identity.
Tick 3h + 2 = 14 3a + 4b – 2c A = π r² 5m – 3m = 2m x + 7 ≤ 12 (1 mark)
Question 19 (3 marks)
Here are the ingredients needed to make 16 biscuits.
Biscuits Ingredients to make 16 biscuits 175 g of butter 75 g of sugar 250 g of flour Anna has
500 g of butter
300 g of sugar
625 g of flourWork out the greatest number of biscuits Anna can make.
(3 marks)
Question 20 (4 marks)
An estimate of the height, H metres, of a tall building can be found using the formula
H = 4f + 12
where the building is f floors high.
A tall building is 110 floors high.
The real height of the building is 442 m.Seb uses the formula to find an estimate of the height of this building.
He then finds the difference between his estimate and the real height.Show that this difference is less than 5% of the real height.
(4 marks)
Question 21 (2 marks)
The table shows some information about the weights of 50 potatoes.
Weight (w grams) Frequency 10 < w ≤ 20 6 20 < w ≤ 30 21 30 < w ≤ 40 13 40 < w ≤ 50 7 50 < w ≤ 60 3 Iveta drew this frequency polygon for the information in the table.
The frequency polygon is not fully correct.Diagram: A grid with weight (w grams) from 10 to 60 across and numbers from 0 to 30 up the side; the vertical axis has no label. Crosses at (15, 8), (25, 21), (35, 13), (45, 7), (55, 3) are joined in order with straight lines, and the last cross is joined back to the first.
Write down two things that are wrong with the frequency polygon.
(2 marks)
Question 22 (2 marks)
The length of a pencil is 128 mm correct to the nearest millimetre.
Complete the error interval for the length of the pencil.
(2 marks)
Question 23 (4 marks)
Tom and Adam have a total of 240 stamps.
The ratio of the number of Tom’s stamps to the number of Adam’s stamps is 3 : 7Tom buys some stamps from Adam.
The ratio of the number of Tom’s stamps to the number of Adam’s stamps is now 3 : 5How many stamps does Tom buy from Adam?
You must show all your working.(4 marks)
Question 24 (3 marks)
Each person in a fitness club is going to get a free gift.
Stan is going to order the gifts.Stan takes a sample of 50 people in the fitness club.
He asks each person to tell him the gift they would like.The table shows information about his results.
Gift Number of people sports bag 17 gym towel 7 headphones 11 voucher 15 There are 700 people in the fitness club.
(i)
Work out how many sports bags Stan should order.
(2 marks)
(ii)
Write down any assumption you made and explain how this could affect your answer.
(1 mark)
Question 25 (2 marks)
Here are six graphs.
A
Diagram: Graph A: a U-shaped curve with its lowest point at O.
B
Diagram: Graph B: a cubic curve through O, rising from bottom left, with a maximum then a minimum, crossing the x-axis three times.
C
Diagram: Graph C: two curves, top left and bottom right, never touching the axes.
D
Diagram: Graph D: two curves, top right and bottom left, never touching the axes.
E
Diagram: Graph E: a straight line with positive gradient, crossing the y-axis above O.
F
Diagram: Graph F: an S-shaped curve through O, rising from bottom left to top right and flattening at O.
Write down the letter of the graph that could have the equation
(a)
y = x³
(1 mark)
(b)
y = 1/x
(1 mark)
Question 26 (3 marks)
The nth term of a sequence is 2n² – 1
The nth term of a different sequence is 40 – n²
Show that there is only one number that is in both of these sequences.
(3 marks)
Question 27 (2 marks)
Work out (3.42 × 10⁻⁷) ÷ (7.5 × 10⁻⁶)
Give your answer in standard form.
(2 marks)
Question 28 (3 marks)
The number of days, d, that it will take to build a house is given by
d = 720/n
where n is the number of workers used each day.
Ali’s company will take 40 days to build the house.
Hayley’s company will take 30 days to build the house.Hayley’s company will have to use more workers each day than Ali’s company.
How many more?
(3 marks)
Question 29 (5 marks)
The diagram shows a cube and a cuboid.
Diagram: A cube with no lengths labelled, and a cuboid 8 cm across the front, 6 cm high and 18 cm long going back.
The total surface area of the cube is equal to the total surface area of the cuboid.
Janet says,
“The volume of the cube is equal to the volume of the cuboid.”
Is Janet correct?
You must show how you get your answer.(5 marks)
Question 30 (3 marks)
Here are two column vectors.
mathbfa = ( 5 , 2 ) mathbfb = ( 3 , -1 )
On the grid below, draw and label the vector mathbfa – 2mathbfb
Diagram: A squared grid, 12 squares wide and 8 squares tall.
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.