Edexcel GCSE Foundation June 2018 Paper 1 (non-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 (1 mark)
Write 6324 correct to the nearest thousand.
(1 mark)
Question 2 (2 marks)
(a)
Write the following numbers in order of size.
Start with the smallest number.–6 6 –5 0 12
(1 mark)
(b)
Write the following numbers in order of size.
Start with the smallest number.0.078 0.78 0.87 0.708
(1 mark)
Question 3 (1 mark)
Write 20% as a fraction.
(1 mark)
Question 4 (1 mark)
Here is a list of four fractions.
4/16 2/8 15/60 3/9
One of these fractions is not equivalent to 1/4
Write down this fraction.
(1 mark)
Question 5 (1 mark)
Write down the first even multiple of 7
(1 mark)
Question 6 (2 marks)
(a)
Simplify 3 × 4t
(1 mark)
(b)
Simplify 8a – 3a + 2a
(1 mark)
Question 7 (5 marks)
Here is a probability scale.
It shows the probability of each of the events A, B, C and D.Diagram: A probability scale from 0 to 1, marked at 0, one half and 1. Event A is marked with a cross at 0; Event B is marked with a cross at about 0.13; Event C is marked with a cross at about 0.66; Event D is marked with a cross at 1.
(a)
Write down the letter of the event that is certain.
(1 mark)
(b)
Write down the letter of the event that is unlikely.
(1 mark)
(c)
There are 12 counters in a bag.
3 of the counters are red.
1 of the counters is blue.
2 of the counters are yellow.
The rest of the counters are green.Caitlin takes at random a counter from the bag.
Show that the probability that this counter is yellow or green is 2/3
(3 marks)
Question 8 (2 marks)
3 kg of meat costs £54
Nina buys 2 kg of the meat.Work out how much Nina pays.
(2 marks)
Question 9 (2 marks)
The centre of this circle is marked with a cross (×).
Diagram: A circle with its centre marked with a cross, and a straight line from the centre to the circle.
(a)
Write down the mathematical name of the straight line shown in the circle.
(1 mark)
(b)
Write down the mathematical name of the straight line that is touching the circle.
Diagram: A circle, and a straight line outside the circle that touches it at one point.
(1 mark)
Question 10 (3 marks)
Tim and three friends go on holiday together for a week.
The 4 friends will share the costs of the holiday equally.
Here are the costs of the holiday.
£1280 for 4 return plane tickets
£640 for the villa
£220 for hire of a car for the weekWork out how much Tim has to pay for his share of the costs.
(3 marks)
Question 11 (2 marks)
Write down an example to show that each of the following two statements is not correct.
(a)
The factors of an even number are always even.
(1 mark)
(b)
All the digits in odd numbers are odd.
(1 mark)
Question 12 (7 marks)
A shop sells desktop computers, laptops and tablets.
The composite bar chart shows information about sales over the last three years.
Diagram: A composite bar chart of the number sold, with a grid line every 20. 2015: desktop computers from 0 to 100, laptops (hatched) from 100 to 260, tablets from 260 to 320 (100 desktop computers, 160 laptops, 60 tablets). 2016: desktop computers from 0 to 120, laptops (hatched) from 120 to 340, tablets from 340 to 500 (120 desktop computers, 220 laptops, 160 tablets). 2017: desktop computers from 0 to 160, laptops (hatched) from 160 to 440, tablets from 440 to 780 (160 desktop computers, 280 laptops, 340 tablets).
Diagram: Key: a plain bar for desktop computers, a hatched box for laptops and a plain shaded box for tablets.
(a)
Write down the number of desktop computers sold in 2015
(1 mark)
(b)
Work out the total number of laptops sold in the 3 years.
(3 marks)
(c)
State the item that had the greatest increase in sales over the 3 years.
Give a reason for your answer.(2 marks)
(d)
Alex says,
“In 2017, more tablets were sold than desktop computers. This means the shop makes more profit from the sale of tablets than from the sale of desktop computers.”
Is Alex correct? You must justify your answer.
(1 mark)
Question 13 (3 marks)
A piece of wire is 240 cm long.
Peter cuts two 45 cm lengths off the wire.
He then cuts the rest of the wire into as many 40 cm lengths as possible.Work out how many 40 cm lengths of wire Peter cuts.
(3 marks)
Question 14 (4 marks)
Gavin, Harry and Isabel each earn the same monthly salary.
Each month,
Gavin saves 28% of his salary and spends the rest of his salary
Harry spends 3/4 of his salary and saves the rest of his salary
the amount of salary Isabel saves : the amount of salary she spends = 3 : 7Work out who saves the most of their salary each month.
You must show how you get your answer.(4 marks)
Question 15 (2 marks)
Work out 15% of 160 grams.
(2 marks)
Question 16 (6 marks)
P = 4x + 3y
x = 5
y = -2(a)
Work out the value of P.
(2 marks)
(b)
Expand 4e(e + 2)
(2 marks)
(c)
Solve 3(m – 4) = 21
(2 marks)
Question 17 (2 marks)
There are some chocolates in a box.
1/4 of the chocolates contain nuts.
The rest of the chocolates do not contain nuts.
Write down the ratio of the number of chocolates that contain nuts to the number of
chocolates that do not contain nuts.
Give your answer in the form 1 : n(2 marks)
Question 18 (3 marks)
A = {multiples of 5 between 14 and 26}
B = {odd numbers between 14 and 26}
(a)
List the members of A ∪ B
(2 marks)
(b)
Describe the members of A ∩ B
(1 mark)
Question 19 (4 marks)
(a)
Work out 21/7 + 11/4
(2 marks)
(b)
Work out 11/5 ÷ 3/4
Give your answer as a mixed number in its simplest form.
(2 marks)
Question 20 (3 marks)
In a village
the number of houses and the number of flats are in the ratio 7 : 4
the number of flats and the number of bungalows are in the ratio 8 : 5There are 50 bungalows in the village.
How many houses are there in the village?
(3 marks)
Question 21 (4 marks)
Renee buys 5 kg of sweets to sell.
She pays £10 for the sweets.Renee puts all the sweets into bags.
She puts 250 g of sweets into each bag.
She sells each bag of sweets for 65p.Renee sells all the bags of sweets.
Work out her percentage profit.
(4 marks)
Question 22 (4 marks)
A cycle race across America is 3069.25 miles in length.
Juan knows his average speed for his previous races is 15.12 miles per hour.
For the next race across America he will cycle for 8 hours per day.(a)
Estimate how many days Juan will take to complete the race.
(3 marks)
(b)
Juan trains for the race.
The average speed he can cycle at increases.
It is now 16.27 miles per hour.How does this affect your answer to part (a)?
(1 mark)
Question 23 (6 marks)
Here is a solid square-based pyramid, VABCD.
Diagram: A solid square-based pyramid VABCD. The base ABCD is a square with A and B at the front and D and C at the back; V is the vertex at the top. AB is marked 6 cm. A dotted line from V down to the centre of the base is marked 4 cm. M is the midpoint of BC, and the dotted line VM is marked 5 cm. An arrow labelled Front view points at the face VAB from the front.
The base of the pyramid is a square of side 6 cm.
The height of the pyramid is 4 cm.
M is the midpoint of BC and VM = 5 cm.(a)
Draw an accurate front elevation of the pyramid from the direction of the arrow.
Diagram: A blank centimetre grid, 14 squares across and 12 squares up.
(2 marks)
(b)
Work out the total surface area of the pyramid.
(4 marks)
Question 24 (5 marks)
A pattern is made from four identical squares.
The sides of the squares are parallel to the axes.
Diagram: A pair of axes with a pattern of four identical squares, sides parallel to the axes, going up to the right. A (6, 7) is the bottom left corner of the first square and B (38, 36) the top right corner of the last square. The second square starts at the top right corner of the first, and the fourth at the top right corner of the third; the third square is lower: its bottom left corner, C, is on the right side of the second square. C is marked with a cross but its coordinates are not given.
Point A has coordinates (6, 7)
Point B has coordinates (38, 36)
Point C is marked on the diagram.Work out the coordinates of C.
(5 marks)
Question 25 (3 marks)
On the grid below, draw the graph of y = 1 – 4x for values of x from –3 to 3
Diagram: A blank grid with x from –4 to 4 and y from –16 to 16.
(3 marks)
Question 26 (2 marks)
mathbfa = ( 5 , 2 ) mathbfb = ( -1 , 7 )
Work out 2mathbfa + mathbfb as a column vector.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.