Edexcel GCSE Foundation November 2017 Paper 2 (calculator)
24 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 7/100 as a decimal.
(1 mark)
Question 2 (1 mark)
Write down a multiple of 6 that is between 40 and 50
(1 mark)
Question 3 (3 marks)
(a)
Simplify 3f × 5g
(1 mark)
(b)
Simplify t × t
(1 mark)
(c)
Simplify (2n + 6n)/2
(1 mark)
Question 4 (6 marks)
Ken buys some fruit.
He buys apples, bananas, peaches and oranges.
Ken buys4 apples weighing 125 g each
2 bananas weighing 170 g each
3 peaches weighing 135 g eachEach orange has a weight of 90 g.
The fruit has a total weight of 1.785 kg.
(a)
Work out how many oranges Ken buys.
(3 marks)
(b)(i)
Jane wants to buy 15 tomatoes.
She asks for 1 kg of tomatoes at a shop.
Jane assumes that each tomato has a weight of 75 g.If Jane’s assumption is correct, will she get 15 tomatoes?
You must show how you get your answer.(2 marks)
(ii)
If Jane’s assumption is not correct, could she get 15 tomatoes?
Justify your answer.(1 mark)
Question 5 (6 marks)
60 students were asked how they get to school.
The table shows the results.
Bus Walk Car Bicycle Number of students 15 27 12 6 (a)
What fraction of the 60 students did not walk to school?
(2 marks)
(b)
Complete the pie chart for the information in the table.
Diagram: A circle with two radii drawn: one straight up from the centre and one to the right, with a right angle between them. The quarter between them is labelled Bus. The rest of the circle is empty.
(4 marks)
Question 6 (2 marks)
(a)
Annie and Lily share some money in the ratio 4 : 3
What fraction of the money does Lily get?
(1 mark)
(b)
Rosie and Dan share some sweets.
Dan gets 1/4 of the sweets.Write down the ratio of the number of sweets Rosie gets to the number of sweets Dan gets.
(1 mark)
Question 7 (2 marks)
Steve says,
“There are more prime numbers between 20 and 30
than there are between 10 and 20”Is Steve right?
You must show how you get your answer.(2 marks)
Question 8 (2 marks)
Chrissy drew this graph to show the percentage of buses that got to a bus stop on time
for six months.Diagram: A line graph of the percentage of buses on time for six months, Jan to Jun. The scale up the side reads 0, 10, 20, 40, 50, 60, 70, 80, 90, 100, one number per big square. The six points, joined by straight lines, are at 76, 78, 86, 88, 92, 92.
(a)
Write down one thing that is wrong with the graph.
(1 mark)
(b)
Describe the trend in the percentage of buses that got to the bus stop on time.
(1 mark)
Question 9 (3 marks)
Here is a map of an island.
Diagram accurately drawn
Diagram: An accurately drawn map of an island with two villages marked by crosses: Backley and, below it and to the right, Cremford. A north line points straight up from each village. A centimetre scale bar, 0 to 3 cm, is drawn under the map so lengths can be measured on screen.
Scale: 1 cm represents 0.5 km
A straight road joins the two villages, Backley and Cremford.
(a)
Work out the real distance between the two villages.
(2 marks)
(b)
Find the bearing of Cremford from Backley.
(1 mark)
Question 10 (3 marks)
The diagram shows two shapes drawn on a centimetre grid.
Diagram: A centimetre grid, 13 squares across and 12 up, with two shaded shapes. Shape P is a triangle with corners at (1, 8), (5, 8), (3, 2) counting squares from the bottom left. Quadrilateral Q has corners at (9, 11), (11, 9), (9, 3), (7, 9).
(a)
Find the area of shape P.
(2 marks)
(b)
Write down the mathematical name of quadrilateral Q.
(1 mark)
Question 11 (3 marks)
The table shows a cricket club’s income in 2016 from a fete, a quiz and membership fees.
Income Fete £250 Quiz Entry fees 13 at £5 each Refreshments £35 Membership fees 25 at £20 each Express as a ratio
the income from the fete to the income from the quiz to the income from membership fees.
Give your ratio in its simplest form.
(3 marks)
Question 12 (5 marks)
200 people live in a village.
23 people do not have a garden.
10 males do not have a garden.
95 people are male.(a)
Use this information to complete the frequency tree.
Diagram: A frequency tree: 200 at the start, branching into do not have a garden and do have a garden, then each branching into male and female. The other six ovals are empty.
(3 marks)
(b)
One of the people who does not have a garden is chosen at random.
Write down the probability that this person is female.
(2 marks)
Question 13 (3 marks)
Ellie makes hats.
She makes at least 17 hats per hour.
She is paid 46p for each hat she makes.Reaze is a waiter.
He works 35 hours and is paid a total of £266Show that Ellie’s hourly rate of pay is more than Reaze’s hourly rate of pay.
(3 marks)
Question 14 (4 marks)
a and b are odd numbers.
(a)
Give an example to show that the value of 2(a + b) is a multiple of 4
(2 marks)
(b)
Show that, when a and b are both odd numbers, the value of 2(a + b) will always be a multiple of 4
(2 marks)
Question 15 (5 marks)
Mr Page uses oil to heat his home.
At the beginning of November there were 1000 litres of oil in his oil tank.
Mr Page bought enough oil to fill the tank completely.
He paid 50p per litre for this oil.
He paid a total amount of £750At the end of February Mr Page had 600 litres of oil in the tank.
He bought enough oil to fill the tank completely.
The cost of oil had increased by 4%.Work out the total amount Mr Page paid for the oil he bought in February.
(5 marks)
Question 16 (3 marks)
Solve 5x – 6 = 3(x – 1)
(3 marks)
Question 17 (3 marks)
Emily buys a pack of 12 bottles of water.
The pack costs £5.64Emily sells all 12 bottles for 50p each.
Work out Emily’s percentage profit.
Give your answer correct to 1 decimal place.(3 marks)
Question 18 (3 marks)
Hasmeet walks once round a circle with diameter 80 metres.
There are 8 points equally spaced on the circumference of the circle.
(a)
Diagram: A circle with 8 points marked on it by short lines across the circle, labelled A, B, C, D, E, F, G, H going clockwise from the top.
Find the distance Hasmeet walks between one point and the next point.
(2 marks)
(b)
Four of the points are moved, as shown in the diagram below.
Diagram: A circle with 8 points marked on it by short lines across the circle, labelled A, B, C, D, E, F, G, H going clockwise from the top.
Hasmeet walks once round the circle again.
Has the mean distance that Hasmeet walks between one point and the next point changed?
You must give a reason for your answer.(1 mark)
Question 19 (3 marks)
There are only blue cubes, yellow cubes and green cubes in a bag.
There are
twice as many blue cubes as yellow cubes
and four times as many green cubes as blue cubes.Hannah takes at random a cube from the bag.
Work out the probability that Hannah takes a yellow cube.
(3 marks)
Question 20 (2 marks)
Diagram: A coordinate grid with x and y from –7 to 7. Trapezium T has corners at (2, –1), (4, –1), (5, –2), (2, –2).
(a)
Rotate trapezium T 180° about the origin.
Label the new trapezium A.(1 mark)
(b)
Translate trapezium T by the vector ( -1 , -3 )
Label the new trapezium B.(1 mark)
Question 21 (4 marks)
(a)
p³ × p^x = p⁹
Find the value of x.
(1 mark)
(b)
(7²)^y = 7¹⁰
Find the value of y.
(1 mark)
(c)
100^a × 1000^b can be written in the form 10^w
Show that w = 2a + 3b
(2 marks)
Question 22 (5 marks)
ABCD is a trapezium.
Diagram: Trapezium ABCD with AD along the bottom and BC parallel to it, above. AD is 24 cm, BC is 10 cm and AB is 7.5 cm. A dashed line goes straight down from B to AD, at right angles to it, and is marked 6 cm.
Work out the size of angle CDA.
Give your answer correct to 1 decimal place.(5 marks)
Question 23 (3 marks)
Use your calculator to work out √((sin 25° + sin 40°)/(cos 25° – cos 40°))
(a)
Write down all the figures on your calculator display.
(2 marks)
(b)
Write your answer to part (a) correct to 2 decimal places.
(1 mark)
Question 24 (5 marks)
(a)
Solve 2x² = 72
(2 marks)
(b)
Expand and simplify (2x + 1)(3x – 2)
(2 marks)
(c)
Factorise x² + 6x + 9
(1 mark)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.