Amara buys a pencil case costing 3.85 pounds and a set of highlighters costing 1.55 pounds. She pays with a 10 pound note. How much change does she receive?
(Total for Question 1 is 2 marks)
2
A charity shop has 72 books on a shelf. 5/9 of the books are fiction. How many of the books are fiction?
(Total for Question 2 is 2 marks)
3
A film starts at 14:52 and finishes at 16:30. How long, in minutes, does the film last?
(Total for Question 3 is 2 marks)
4
A rectangular sports pitch is 27 m long and 16 m wide. Find the perimeter of the pitch.
(Total for Question 4 is 2 marks)
5
A jacket costs 64 pounds. In a sale it is reduced by 15%. What is the sale price?
(Total for Question 5 is 2 marks)
6
Zainab, Oliver and Priti share a prize of 96 pounds in the ratio 5:3:4. How much does Oliver receive?
(Total for Question 6 is 3 marks)
7
A sequence begins 5, 9, 13, 17, ... Write down the next two terms of the sequence.
(Total for Question 7 is 2 marks)
8
Daniel buys 5 notebooks at 0.95 pounds each and a pack of pens costing 2.75 pounds. He pays with a 20 pound note. How much change does he receive?
(Total for Question 8 is 3 marks)
9
A room is L-shaped. It is formed from a rectangle measuring 9 m by 6 m, with a smaller rectangle measuring 4 m by 2 m removed from one corner. Find the area of the room.
(Total for Question 9 is 3 marks)
10
A hiker walks 21 km in 3 hours 30 minutes at a constant speed. Find her average speed, in km/h.
(Total for Question 10 is 3 marks)
11
Write these in order of size, starting with the smallest: 0.62, 5/8, 61%
(Total for Question 11 is 2 marks)
12
Chloe thinks of a number. She multiplies it by 4, then subtracts 7. The result is 33. What number did Chloe think of?
(Total for Question 12 is 3 marks)
13
A football team recorded the number of goals it scored in 6 matches: 2, 0, 3, 1, 4, 2. Find the mean number of goals scored per match.
(Total for Question 13 is 3 marks)
14
A bag contains 5 red counters, 3 blue counters and 2 green counters, and no others. A counter is picked at random. What is the probability that it is not blue?
(Total for Question 14 is 2 marks)
15
A recipe for 8 muffins needs 240 g of flour. How much flour is needed to make 20 muffins, using the same recipe?
(Total for Question 15 is 3 marks)
16
A cuboid box has length 8 cm, width 5 cm and height 4 cm. Find its volume.
(Total for Question 16 is 3 marks)
17
In triangle PQR, angle P = 52 degrees and angle Q = 65 degrees.
(a)Find the size of angle R.(2)
(b)State whether triangle PQR is acute, right-angled or obtuse. Give a reason for your answer.(1)
(Total for Question 17 is 3 marks)
18
A shop increases the price of a bicycle by 20%. The new price is 216 pounds.
(a)Find the original price of the bicycle.(2)
(b)In a sale, the shop then reduces the new price of 216 pounds by 25%. Find the sale price.(2)
(Total for Question 18 is 4 marks)
19
A number, N, is a whole number such that 10 < N < 20. N is a factor of 84. N is also a multiple of 6.
(a)Find the value of N.(2)
(b)Write N as a product of its prime factors.(1)
(Total for Question 19 is 3 marks)
20
Isla drives 80 km at an average speed of 40 km/h. She then drives a further 60 km at an average speed of 30 km/h. Find her average speed for the whole journey.
(Total for Question 20 is 4 marks)
21
A rectangle has length (2x + 3) cm and width (x - 1) cm. The perimeter of the rectangle is 34 cm.
(a)Form an equation in x.(1)
(b)Solve your equation to find the value of x.(2)
(c)Find the length of the rectangle.(1)
(Total for Question 21 is 4 marks)
22
A square has side length y cm. A rectangle measuring 6 cm by 4 cm is cut from one corner of the square. The area that remains is 25 cm2.
(a)Form an equation in y.(1)
(b)Find the value of y.(3)
(Total for Question 22 is 4 marks)
23
The ratio of Sam's age to his sister Meera's age is 3:5. The sum of their present ages is 40 years. Find Meera's age in 6 years' time.
(Total for Question 23 is 4 marks)
24
Leo thinks of a number, x. He doubles it, adds 9, then divides the result by 3. His final answer is 15.
(a)Form an equation in x to represent this.(1)
(b)Solve your equation to find Leo's original number.(3)
(Total for Question 24 is 4 marks)
25
A drawer contains 4 black socks and 6 white socks, and no other socks. Two socks are taken from the drawer at random, one after the other, without replacement.
(a)Find the probability that both socks are black.(2)
(b)Find the probability that the two socks are different colours.(3)
(Total for Question 25 is 5 marks)
26
A market trader buys 60 scarves for a total of 180 pounds. She sells 40 of the scarves at 4.50 pounds each. She sells the remaining 20 scarves in a sale, at a discount of 20% off the 4.50 pound price.
(a)Find the trader's total income from selling all 60 scarves.(3)
(b)Find her total profit as a percentage of her original cost of 180 pounds.(2)
(Total for Question 26 is 5 marks)
Mark scheme · EP.M60 Mixed Problem-Solving Paper C