Edexcel GCSE Foundation November 2018 Paper 3 (calculator)
26 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 (2 marks)
Write a number in each box to make the calculation correct.
(i)
56.3 + boxedphantomXXXX = 100
(1 mark)
(ii)
2/7 + boxedphantomXXXX = 1
(1 mark)
Question 2 (1 mark)
Write 3% as a fraction.
(1 mark)
Question 3 (1 mark)
Find √1.44
(1 mark)
Question 4 (1 mark)
Work out 1/8 of 720
(1 mark)
Question 5 (2 marks)
Here is a 3-D shape.
Diagram: A 3-D shape with six rectangular faces, drawn with its hidden edges dashed.
(a)
Write down the name of this 3-D shape.
(1 mark)
(b)
Write down the number of edges of this 3-D shape.
(1 mark)
Question 6 (2 marks)
An ordinary fair dice is thrown once.
(a)
On the probability scale below, mark with a cross (×) the probability that the dice
lands on an odd number.Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
(b)
Write down the probability that the dice lands on a number greater than 4
(1 mark)
Question 7 (2 marks)
Shaun is 1.88 m tall.
David is 6 cm taller than Shaun.How tall is David?
(2 marks)
Question 8 (4 marks)
2 pens cost £2.38
5 folders cost £5.60Ben wants to buy 20 pens and 20 folders.
He only has £50Does Ben have enough money to buy 20 pens and 20 folders?
You must show how you get your answer.(4 marks)
Question 9 (2 marks)
The diagram shows five shapes on a centimetre grid.
Diagram: Five shapes drawn on a centimetre grid 16 squares wide and 11 squares tall, labelled A, B, C, D, E.
(a)
Write down the name of shape E.
(1 mark)
(b)
Two of the shapes are congruent.
Write down the letters of these two shapes.
(1 mark)
Question 10 (1 mark)
On the grid, reflect the shaded shape in the mirror line.
Diagram: A squared grid, 10 squares wide and 8 squares tall, with a horizontal dashed mirror line 4 squares up from the bottom. A shaded shape sits above the line.
(1 mark)
Question 11 (3 marks)
There are men and women at a meeting.
There are 28 women.
30% of the people at the meeting are men.Work out the total number of people at the meeting.
(3 marks)
Question 12 (3 marks)
Joan asked each of 60 people to name their favourite vegetable.
Here are her results.
Vegetable Frequency Peas 24 Carrots 16 Mushrooms 20 Draw an accurate pie chart for her results.
Diagram: A circle with one radius drawn from the centre straight up.
(3 marks)
Question 13 (4 marks)
Annie sold
45 books at £1.20 each
34 candles at £1.50 each
some calendars at 90p eachShe got a total of £150
Work out how many calendars Annie sold.
(4 marks)
Question 14 (4 marks)
Here is a 4-sided spinner.
Diagram: A 4-sided spinner: a parallelogram cut into four triangles by its diagonals, numbered 3, 2, 4, 1, with a stick through the centre.
The table shows the probabilities that when the spinner is spun it will land on 1, on 3 and on 4
Number 1 2 3 4 Probability 0.2 0.4 0.1 The spinner is spun once.
(a)
Work out the probability that the spinner will land on 2
(1 mark)
(b)
Which number is the spinner least likely to land on?
(1 mark)
(c)
Jake is going to spin the spinner 60 times.
Work out an estimate for the number of times the spinner will land on 1
(2 marks)
Question 15 (3 marks)
Bert has 100 cards.
There is a whole number from 1 to 100 on each card.
No cards have the same number.Bert puts a star on every card that has a multiple of 3 on it.
He puts a circle on every card that has a multiple of 5 on it.Work out how many cards have both a star and a circle on them.
(3 marks)
Question 16 (2 marks)
Write down the ratio of 450 grams to 15 grams.
Give your answer in its simplest form.(2 marks)
Question 17 (5 marks)
The diagram shows a pentagon.
The pentagon has one line of symmetry.Diagram: A pentagon ABCDE with A and E at the bottom, B and D above them, and C at the top in the middle. There are right angles at A and E.
AE = 4x
AB = 2x + 1
BC = x + 2All these measurements are given in centimetres.
The perimeter of the pentagon is 18 cm.
(a)
Show that 10x + 6 = 18
(3 marks)
(b)
Find the value of x.
(2 marks)
Question 18 (4 marks)
Trevor buys a boat.
The cost of the boat is £14 200 plus VAT at 20%Trevor pays a deposit of £5000
He pays the rest of the cost in 10 equal payments.Work out the amount of each of the 10 payments.
(4 marks)
Question 19 (7 marks)
(a)
On the number line, show the inequality x < 4
Diagram: A number line for x from -5 to 5.
(2 marks)
(b)
3 < y ≤ 7 where y is an integer.
Write down all the possible values of y.
(2 marks)
(c)
Solve 3x + 5 ≥ x + 17
(3 marks)
Question 20 (3 marks)
(a)
Write 7357 correct to 3 significant figures.
(1 mark)
(b)
Work out dfrac√(17 + 4²)7.3²
Write down all the figures on your calculator display.
(2 marks)
Question 21 (3 marks)
Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.Work out the percentage increase in the cost of her car insurance.
(3 marks)
Question 22 (5 marks)
(a)
Complete this table of values for y = x² + x – 4
x –3 –2 –1 0 1 2 3 y –2 –4 –2 (2 marks)
(b)
On the grid, draw the graph of y = x² + x – 4 for values of x from –3 to 3
Diagram: A grid with x from –3 to 3 and y from –10 to 15.
(2 marks)
(c)
Use the graph to estimate a solution to x² + x – 4 = 0
(1 mark)
Question 23 (6 marks)
Fran asks each of 40 students how many books they bought last year.
The chart below shows information about the number of books bought by each of the 40 students.
Diagram: Bar chart. 0 to 4: 11. 5 to 9: 8. 10 to 14: 13. 15 to 19: 6. 20 to 24: 2.
(a)
Work out the percentage of these students who bought 20 or more books.
(2 marks)
(b)
Show that an estimate for the mean number of books bought is 9.5
You must show all your working.(4 marks)
Question 24 (4 marks)
Lara is a skier.
She completed a ski race in 1 minute 54 seconds.
The race was 475 m in length.Lara assumes that her average speed is the same for each race.
(a)
Using this assumption, work out how long Lara should take to complete a 700 m race.
Give your answer in minutes and seconds.(3 marks)
(b)
Lara’s average speed actually increases the further she goes.
How does this affect your answer to part (a)?
(1 mark)
Question 25 (4 marks)
ABC is a right-angled triangle.
Diagram: A right-angled triangle ABC with the right angle at C. CA is along the bottom, 14 cm long, and B is above C.
AC = 14 cm.
Angle C = 90°size of angle B : size of angle A = 3 : 2
Work out the length of AB.
Give your answer correct to 3 significant figures.(4 marks)
Question 26 (2 marks)
Here are the first four terms of an arithmetic sequence.
5 11 17 23
Write down an expression, in terms of n, for the nth term of the sequence.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.