Edexcel GCSE Foundation November 2022 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 the following numbers in order of size.
Start with the smallest number.0.41 0.5 0.46 0.408
(1 mark)
Question 2 (1 mark)
Write down the value of the 2 in the number 12 345
(1 mark)
Question 3 (1 mark)
Write 4/5 as a decimal.
(1 mark)
Question 4 (1 mark)
Write 19.4949 correct to the nearest whole number.
(1 mark)
Question 5 (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 6 (2 marks)
The graph shows information about the average monthly temperature, in °C, in Amman.
Diagram: Line graph of the average monthly temperature, in °C, in Amman. Jan 8, Feb 9, Mar 11, Apr 16, May 20, Jun 23, Jul 25, Aug 24, Sep 21, Oct 20, Nov 14, Dec 10.
(a)
For how many months was the average monthly temperature greater than 16°C?
(1 mark)
(b)
Write down the two months that had the same average monthly temperature.
(1 mark)
Question 7 (3 marks)
208 bars of chocolate were sold from a shop.
1/4 of these bars of chocolate were large bars.
The rest of the bars of chocolate were small bars.All the large bars of chocolate were sold for £1 each.
All the small bars of chocolate were sold for 60p each.Work out the total amount of money for which the 208 bars of chocolate were sold.
Give your answer in pounds.(3 marks)
Question 8 (3 marks)
Four students play a game.
The table shows the number of points each student has.Student Number of points Ali 143 Barbara 121 Calliope 45 Danesh 19 (a)
Barbara has more points than Danesh.
How many more?
(1 mark)
(b)
Work out the mean number of points.
(2 marks)
Question 9 (3 marks)
Diagram: A graph.
(a)
Write down the coordinates of point A.
(1 mark)
(b)
On the grid, mark with a cross (×) the point (1, 4)
Label this point B.(1 mark)
(c)
On the grid, draw the line with equation y = -3
(1 mark)
Question 10 (2 marks)
Here are the first three terms of a sequence.
20 16 13
(i)
Write down two numbers that could be the 4th and 5th terms of this sequence.
(1 mark)
(ii)
Write down the rule you used to get your numbers.
(1 mark)
Question 11 (2 marks)
Here is a cuboid.
Diagram: A cuboid 8 cm by 4 cm by 5 cm.
Work out the volume of the cuboid.
(2 marks)
Question 12 (2 marks)
Amol, Gemma and Harry each have a number of sweets.
The number of sweets that Gemma has is 6 times the number of sweets that Amol has.
The number of sweets that Harry has is half the number of sweets that Gemma has.Write down the ratio
the number of sweets that Amol has : the number of sweets that Gemma has : the number of sweets that Harry has
(2 marks)
Question 13 (3 marks)
ABCD is a quadrilateral.
Diagram: A diagram.
(a)(i)
Work out the size of angle x.
(1 mark)
(ii)
Give a reason for your answer.
(1 mark)
(b)
The diagram below shows a triangle.
Diagram: A diagram.
The diagram is wrong.
Explain why.
(1 mark)
Question 14 (3 marks)
You can use this graph to change between ounces and grams.
Diagram: A straight-line conversion graph: ounces from 10 to 35 across, grams from 300 to 1000 up. The line goes from about (10.6, 300) to (35, 992).
(a)
Change 850 grams to ounces.
(1 mark)
(b)
Change 80 ounces to grams.
(2 marks)
Question 15 (5 marks)
2.5 kg of onions and 2 kg of carrots cost a total of £2.36
3 kg of carrots cost £1.74Stuart has £2
He wants to buy 4 kg of onions.Does Stuart have enough money to buy 4 kg of onions?
You must show how you get your answer.(5 marks)
Question 16 (2 marks)
There are three different types of potato in a box.
The table gives the number of each type of potato.Type of potato Number of potatoes Jersey Royal 90 Charlotte 105 Maris Piper 105 Salim draws this pie chart for the information in the table.
Diagram: A pie chart with three sectors and no labels: 90°, 140°, 130°, clockwise from the top. A box beside it says Box of potatoes.
Write down two different things that are wrong or misleading with this pie chart.
(2 marks)
Question 17 (3 marks)
(a)
Write 87 569 correct to 3 significant figures.
(1 mark)
(b)
Work out ((3.2 + 3.7) × 4.9)/(5.3 – 2.8)
Give your answer as a decimal.(2 marks)
Question 18 (2 marks)
Diagram: A graph.
Rotate the shaded shape 90° anticlockwise about (0,0)
(2 marks)
Question 19 (4 marks)
Carly cycles to her friend’s house.
She stays at her friend’s house for a number of minutes.
Then she cycles home.Here is the travel graph for her journey.
Diagram: Travel graph: time of day across, distance from home in km up the side. (08 00, 0 km) to (08 20, 4 km) to (08 30, 7 km) to (08 45, 7 km) to (09 00, 0 km).
(a)
For how many minutes did Carly stay at her friend’s house?
(1 mark)
(b)
How far is Carly from her home at 08 50?
(1 mark)
(c)
Work out Carly’s speed, in km/h, for the first 20 minutes of her journey.
(2 marks)
Question 20 (4 marks)
Here is a list of ingredients for making 10 scones.
Ingredients for 10 scones 80 g butter 350 g self-raising flour 30 g sugar 2 eggs Martin has
100 g butter
1 kg self-raising flour
50 g sugar
4 eggsMartin wants to make 25 scones.
He has not got enough of some of the ingredients.Work out how much more of each of these ingredients he needs.
(4 marks)
Question 21 (2 marks)
Make a the subject of the formula p = 3a – 9
(2 marks)
Question 22 (1 mark)
Rob has been asked to divide 120 in the ratio 3 : 5
Here is his working.
120 ÷ 3 = 40
120 ÷ 5 = 24Rob’s working is not correct.
Describe what Rob has done wrong.
(1 mark)
Question 23 (3 marks)
200 students chose one language to study.
Each student chose one language from French or Spanish or German.Of the 200 students,
90 are boys and the rest of the students are girls
70 chose Spanish
60 of the 104 students who chose French are boys
18 girls chose German.Work out how many boys chose Spanish.
(3 marks)
Question 24 (4 marks)
Karina has 4 tanks on her tractor.
Each tank is a cylinder with diameter 80 cm and height 160 cm.Diagram: A cylinder standing on its end. An arrow across the top shows the diameter, 80 cm; an arrow down the right side shows the height, 160 cm.
The 4 tanks are to be filled completely with a mixture of fertiliser and water.
The fertiliser has to be mixed with water in the ratio 1 : 100 by volume.
Karina has 32 litres of fertiliser.1 litre = 1000 cm³
Has Karina enough fertiliser for the 4 tanks?
You must show how you get your answer.(4 marks)
Question 25 (4 marks)
Triangle ABC and triangle DEF are similar.
Diagram: A diagram.
Diagram: A diagram.
(a)
Work out the length of EF.
(2 marks)
(b)
Work out the length of AB.
(2 marks)
Question 26 (4 marks)
One weekend the Keddie family is going to do a sports quiz and a music quiz.
The probability that the family will win the sports quiz is 0.3
The probability that the family will win the music quiz is 0.35(a)
Complete the probability tree diagram.
Diagram: Probability tree diagram. Sports quiz: win 0.3, do not win a gap. Music quiz after win: win 0.35, do not win a gap; after do not win: win 0.35, do not win a gap.
(2 marks)
(b)
Work out the probability that the Keddie family will win both the sports quiz and the
music quiz.(2 marks)
Question 27 (4 marks)
(a)
Change 8000 cm³ to m³
(1 mark)
(b)
Change a speed of 180 km per hour to metres per second.
(3 marks)
Question 28 (3 marks)
There are 30 women and 20 men at a gym.
The mean height of all 50 people is 167.6 cm
The mean height of the 20 men is 182 cmWork out the mean height of the 30 women.
(3 marks)
Question 29 (3 marks)
(a)
Write 6.75 × 10⁻⁴ as an ordinary number.
(1 mark)
(b)
Work out dfrac2.56 × 10⁶ × 4.12 × 10⁻³ 1.6 × 10⁻²
Give your answer in standard form.(2 marks)
Question 30 (4 marks)
mathbfa = ( 2 , 3 ) mathbfb = ( -1 , 2 ) mathbfc = ( 4 , 1 )
(a)(i)
Work out as a column vector
mathbfa + mathbfb
(1 mark)
(ii)
2mathbfa – mathbfc
(2 marks)
(b)
The vector mathbfd is drawn on the grid.
Diagram: A graph.
From the point P, draw the vector 2mathbfd
(1 mark)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.