Edexcel GCSE Foundation November 2018 Paper 2 (calculator)
27 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 the value of the 4 in the number 542.3
(1 mark)
Question 2 (1 mark)
Write down a square number that is also an odd number.
(1 mark)
Question 3 (2 marks)
(a)
Change 4560 g into kg.
(1 mark)
(b)
Change 7.3 m into mm.
(1 mark)
Question 4 (1 mark)
Work out the cube root of 64
(1 mark)
Question 5 (1 mark)
Write 0.31 as a fraction.
(1 mark)
Question 6 (2 marks)
Here are four fractions.
3/4 5/7 19/25 11/15
Write the fractions in order of size.
Start with the smallest fraction.(2 marks)
Question 7 (2 marks)
(a)
Simplify 3m – m – m + 3m
(1 mark)
(b)
Simplify 2 × n × p × 4
(1 mark)
Question 8 (2 marks)
A map has a scale of 1 cm to 14 km.
On the map, the distance between Manchester and London is 18.8 cm.
What is the real distance, in km, between Manchester and London?
(2 marks)
Question 9 (4 marks)
(a)
The nth term of a sequence is 3n + 4
Explain why 21 is not a term of this sequence.
(2 marks)
(b)
Here are the first three terms of a different sequence.
1 2 4
Write down two numbers that could be the 4th term and the 5th term of this sequence.
Give the rule you have used to get your numbers.(2 marks)
Question 10 (3 marks)
Here is a number machine.
Diagram: Number machine: input, then ×5, then –2, then output.
(a)
Work out the output when the input is 8
(1 mark)
(b)
Work out the input when the output is 28
(2 marks)
Question 11 (3 marks)
Adam gets a bonus of 30% of £80
Katy gets a bonus of £28Work out the difference between the bonus Adam gets and the bonus Katy gets.
(3 marks)
Question 12 (2 marks)
There are 49 counters in a bag.
20 of the counters are red.
The rest of the counters are blue.One of the counters is taken at random.
Find the probability that the counter is blue.
(2 marks)
Question 13 (5 marks)
(a)
A square has an area of 81 cm²
Diagram: A square with 81 cm² written inside it.
Find the perimeter of the square.
(2 marks)
(b)
The diagram shows a right-angled triangle and a parallelogram.
Diagram: A right-angled triangle with a vertical side of 16 cm and a base of 9 cm, the right angle between them. Beside it, a parallelogram with a base of 30 cm; an arrow inside it shows its perpendicular height, h cm.
The area of the parallelogram is 5 times the area of the triangle.
The perpendicular height of the parallelogram is h cm.Find the value of h.
(3 marks)
Question 14 (4 marks)
(a)
Victoria throws an ordinary fair 6-sided dice once.
She says,
“The probability of getting a 3 is half the probability of getting a 6”
Is Victoria correct?
You must explain your answer.(1 mark)
(b)
Andy throws the dice twice.
He says,“The probability of getting a 6 on both throws is 2/6”
Is Andy correct?
You must explain your answer.(1 mark)
(c)
Indre throws the dice once.
She also throws a coin to get Heads or Tails.List all the possible outcomes she can get.
(2 marks)
Question 15 (3 marks)
Remi invests £600 for 5 years in a savings account.
By the end of the 5 years he has received a total of £75 simple interest.Work out the annual rate of simple interest.
(3 marks)
Question 16 (2 marks)
Diagram: A grid with x and y from –5 to 5. Shape A has vertices (1, 1), (3, 1), (4, 4), (2, 4). Shape B has vertices (1, –1), (3, –1), (4, –4), (2, –4).
Describe fully the single transformation that maps shape A onto shape B.
(2 marks)
Question 17 (3 marks)
Adrian is going to make concrete.
He is going to use180 kg of cement
375 kg of sand
1080 kg of stoneCement, sand and stone are sold in bags.
1 bag cement 1 bag sand 1 bag stone 25 kg 22.5 kg 50 kg Adrian already has
10 bags of cement
20 bags of sand
20 bags of stoneWork out what bags he needs to buy to make the concrete.
(3 marks)
Question 18 (2 marks)
(a)
Bill wants to increase 150 by 3%
He writes down150 × 1.3 = 195
Bill’s method is wrong.
Explain why.
(1 mark)
(b)
Sally wants to decrease 150 by 3%
Complete this statement to show how Sally can decrease 150 by 3%
150 × …………… = ……………
(1 mark)
Question 19 (4 marks)
(a)
Solve 3(x – 4) = 12
(2 marks)
(b)
Factorise fully 9b – 3b²
(2 marks)
Question 20 (6 marks)
ℰ = {even numbers between 1 and 25}
A = {2, 8, 10, 14}
B = {6, 8, 20}
C = {8, 18, 20, 22}(a)
Complete the Venn diagram for this information.
Diagram: A blank Venn diagram: three overlapping circles A, B, C inside a rectangle labelled ℰ.
(4 marks)
(b)
A number is chosen at random from ℰ.
Find the probability that the number is a member of A ∩ B.
(2 marks)
Question 21 (2 marks)
Sean has information about the height, in cm, and the weight, in kg, of each of ten rugby players.
He is asked to draw a scatter graph and a line of best fit for this information.
Here is his answer.
Diagram: A scatter graph of Weight (kg) against Height (cm). Along the bottom the labels are 140, 160, 170, 180, 190, 200, equally spaced. Up the side: 85, 90, 95, 100, 105. Ten crosses, at (175, 89), (179, 93), (179, 88), (183, 96), (184, 93), (185, 99), (186, 100), (190, 102), (191, 103), (192, 100). A straight line is drawn from the bottom left corner (140, 85) to the top right corner (200, 105).
Sean has plotted the points accurately.
Write down two things that are wrong with his answer.
(2 marks)
Question 22 (4 marks)
BEG is a triangle.
Diagram: Two parallel lines, ABC above and DEF below, both marked with arrows and rising slightly to the right. B is on the upper line and E is on the lower line. Triangle BEG has G to the right, between the lines. Angle CBG is 35°, angle BED is 110°, angle GEF is 25°, and angle BGE is marked x.
ABC and DEF are parallel lines.
Work out the size of angle x.
Give a reason for each stage of your working.(4 marks)
Question 23 (5 marks)
Northern Bank has two types of account.
Both accounts pay compound interest.Cash savings account Shares account Interest
2.5% per annumInterest
3.5% per annumAli invests £2000 in the cash savings account.
Ben invests £1600 in the shares account.(a)
Work out who will get the most interest by the end of 3 years.
You must show all your working.(4 marks)
(b)
In the 3rd year the rate of interest for the shares account is changed to 4% per annum.
Does this affect who will get the most interest by the end of 3 years?
Give a reason for your answer.(1 mark)
Question 24 (5 marks)
The diagram shows a floor in the shape of a trapezium.
Diagram: A trapezium. Its parallel sides are 10 m (top) and 16 m (bottom), and an arrow between them shows the height, 7 m.
£16.99
Diagram: A tin of paint, labelled 5 litres.
John is going to paint the floor.
Each 5 litre tin of paint costs £16.99
1 litre of paint covers an area of 2 m²John has £160 to spend on paint.
Has John got enough money to buy all the paint he needs?
You must show how you get your answer.(5 marks)
Question 25 (3 marks)
A is the point with coordinates (5, 9)
B is the point with coordinates (d, 15)The gradient of the line AB is 3
Work out the value of d.
(3 marks)
Question 26 (4 marks)
(a)
Expand and simplify (5x + 2)(2x – 3)
(2 marks)
(b)
Factorise x² + 4x + 3
(2 marks)
Question 27 (4 marks)
(a)
Write the number 0.000 075 47 in standard form.
(1 mark)
(b)
Write 3.42 × 10⁴ as an ordinary number.
(1 mark)
(c)
Work out displaystyle2.3 × 10⁴ × 6.7 × 10³ over 5 × 10⁻⁸
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.