Edexcel GCSE Foundation November 2021 Paper 3 (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 45% as a decimal.
(1 mark)
Question 2 (1 mark)
Write down two factors of 35
(1 mark)
Question 3 (1 mark)
What is the time 2 hours 40 minutes after 8.05 am?
(1 mark)
Question 4 (1 mark)
Work out 1/6 of 66
(1 mark)
Question 5 (1 mark)
AB is a straight line.
Mark with a cross (×) the midpoint of AB.
Diagram: A straight line AB, 8 cm long, with a 2 cm scale bar below it.
(1 mark)
Question 6 (3 marks)
(a)
Simplify a × b × 4
(1 mark)
(b)
Simplify 4x + 3 – x + 5
(2 marks)
Question 7 (2 marks)
There are three cards in bag A and two cards in bag B.
There is a letter on each card.Diagram: Bag A holds three cards with the letters E, F and G. Bag B holds two cards with the letters J and K.
James takes a card from bag A and then a card from bag B.
List all the possible outcomes.
(2 marks)
Question 8 (3 marks)
On Monday, Sandy pays for 2 plane tickets, 7 nights in a hotel and 2 theme park tickets.
dollars each plane ticket 600 each night in a hotel 120 each theme park ticket 250 Show that Sandy pays more than 2500 dollars on Monday.
(3 marks)
Question 9 (3 marks)
Vadim has 56 clocks.
The clocks are only red, only blue or only black.32 of the clocks are plastic.
5 of the 14 blue clocks are plastic.
8 of the 12 red clocks are not plastic.Plastic Not plastic Total Red Blue Black Total Use this information to complete the two-way table.
(3 marks)
Question 10 (3 marks)
Corina has £300 to spend on books.
Each book costs £4.85Work out the greatest number of books Corina can buy.
(3 marks)
Question 11 (3 marks)
(a)
Write 196 minutes in hours and minutes.
(2 marks)
(b)
A train travels x miles in 2 hours.
Write down an expression, in terms of x, for the average speed of the train.
(1 mark)
Question 12 (4 marks)
The diagram shows two places on a map.
Diagram: A map with two crosses: Shelton, and Trilby directly below it. A centimetre scale bar, 0 to 3 cm, is drawn along the bottom of the map.
Scale: 1 centimetre represents 20 kilometres
(a)
What is the actual distance, in kilometres, from Shelton to Trilby?
(2 marks)
(b)
On a scale drawing, the scale is given as 1 : 1200
How many metres does 5 centimetres represent on this drawing?
(2 marks)
Question 13 (4 marks)
In the Northern hemisphere the ratio of the area of land to the area of water is 2 : 3
(a)
Work out what percentage of the area of the Northern hemisphere is land.
(2 marks)
(b)
20% of the area of the Southern hemisphere is land.
Work out the ratio of the area of land to the area of water in the Southern hemisphere.
(2 marks)
Question 14 (3 marks)
A stadium cost £600 million.
13/15 of this cost was for the building.
The rest of the cost was for the land.Work out the cost of the land.
(3 marks)
Question 15 (1 mark)
Jenna measures all the angles around a point.
Her results are 23°, 145°, 23° and 69°Explain why these results cannot be true.
(1 mark)
Question 16 (2 marks)
Here is a diagram showing triangle ABC and triangle ADE.
Diagram: A grid with x and y from –2 to 6. Triangle ABC has A at (1, 1), B at (1, 2) and C at (2, 1). Triangle ADE has A at (1, 1), D at (1, 5) and E at (5, 1).
Describe fully the single transformation that maps triangle ABC onto triangle ADE.
(2 marks)
Question 17 (7 marks)
(a)
Expand y(y + 5)
(1 mark)
(b)
Factorise 4a – 6
(1 mark)
(c)
Solve 2(5x – 4) = 21
(3 marks)
(d)
Simplify 4e²f × 5ef³
(2 marks)
Question 18 (1 mark)
Change 1 m² into cm²
(1 mark)
Question 19 (4 marks)
This diagram shows two squares.
Diagram: A square with sides of 8 cm. Each side is split into 3 cm and 5 cm, and the four split points are the corners of a shaded square tilted inside it. All the corners are right angles.
Work out the area of the square shown shaded in the diagram.
(4 marks)
Question 20 (3 marks)
Here are the heights, in centimetres, of 15 plants.
15 20 25 33 17 22 25 18
22 19 32 35 24 28 19Draw a stem and leaf diagram for these heights.
Diagram: An empty stem and leaf frame with four rows, and an empty box headed Key.
(3 marks)
Question 21 (4 marks)
The scatter graph shows information about the volume of traffic and the carbon monoxide level at a point on a road each day for 22 days.
Diagram: A scatter graph of carbon monoxide level (mg/m³) against volume of traffic (number of cars) for 22 days. The crosses go up from bottom left to top right, except one cross at (100, 18), which is far above the others.
One point is an outlier.
(a)
Write down the coordinates of this point.
(1 mark)
(b)
For another day, 370 cars pass the point on the road.
Estimate the carbon monoxide level for this day.
(2 marks)
(c)
Alfie says,
“Because there is an outlier, there is no correlation.”
Is Alfie correct?
You must give a reason for your answer.(1 mark)
Question 22 (4 marks)
Natalie makes potato cakes in a restaurant.
She mixes potato, cheese and onion so thatweight of potato : weight of cheese : weight of onion = 9 : 2 : 1
Natalie needs to make 6000 g of potato cakes.
Cheese costs £2.25 for 175 g.
Work out the cost of the cheese needed to make 6000 g of potato cakes.
(4 marks)
Question 23 (4 marks)
(a)
Write 4.5 × 10⁵ as an ordinary number.
(1 mark)
(b)
Write 0.007 in standard form.
(1 mark)
(c)
Work out 4.2 × 10³ + 5.3 × 10²
Give your answer in standard form.(2 marks)
Question 24 (4 marks)
A water tank is empty.
Anil needs to fill the tank with 2400 litres of water.Company A supplies water at a rate of 8 litres in 1 minute 40 seconds.
Company B supplies water at a rate of 2.2 gallons per minute.1 gallon = 4.54 litres
Company A would take more time to fill the tank than Company B would take to fill the tank.
How much more time?
Give your answer in minutes correct to the nearest minute.(4 marks)
Question 25 (3 marks)
The first four terms of a Fibonacci sequence are
a 2a 3a 5a
The sum of the first five terms of this sequence is 228
Work out the value of a.
(3 marks)
Question 26 (4 marks)
In a bag there are only red counters, blue counters, green counters and pink counters.
A counter is going to be taken at random from the bag.The table shows the probabilities of taking a red counter or a blue counter.
Colour red blue green pink Probability 0.05 0.15 The probability of taking a green counter is 0.2 more than the probability of taking
a pink counter.(a)
Complete the table.
(2 marks)
(b)
There are 18 blue counters in the bag.
Work out the total number of counters in the bag.
(2 marks)
Question 27 (4 marks)
The diagram shows a sector OPQR of a circle, centre O and radius 8 cm.
Diagram: A quarter circle OPQR with centre O and radius 8 cm: OP goes right, OR goes down, and the angle at O is a right angle. The chord PR and the arc PQR enclose a shaded segment.
OPR is a triangle.
Work out the area of the shaded segment PQR.
Give your answer correct to 3 significant figures.(4 marks)
Question 28 (2 marks)
Sketch the graph of y = 1/x
Diagram: A pair of axes, x and y, crossing at O. There is no scale.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.