Mixed Problem-Solving Paper F - Worksheets, Questions and Revision

26 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 7)
« Previous: Measurement, Money and Time Depth Set 2Next: Speed Drills: Ratio, Proportion and Scaling Set 2 »
Revision Library
revisionlibrary.co.uk
11+ · GL ASSESSMENT

EP.M91 Mixed Problem-Solving Paper F

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 75 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Tom buys a pencil case for £4.20 and a set of pens for £2.85. He pays with a £10 note. How much change does he receive?
(Total for Question 1 is 2 marks)
2
A crate contains 84 oranges. 2/7 of the oranges are bruised. How many oranges are not bruised?
(Total for Question 2 is 2 marks)
3
A film starts at 14:40 and finishes at 16:15. How long, in minutes, does the film last?
(Total for Question 3 is 2 marks)
4
A rectangular football pitch measures 18 m by 9 m. Find the perimeter of the pitch.
(Total for Question 4 is 2 marks)
5
A jacket usually costs £65. In a sale it is reduced by 20%. Find the sale price of the jacket.
(Total for Question 5 is 2 marks)
6
Reo, Sula and Priya share £108 in the ratio 4 : 5 : 3. How much does Sula receive?
(Total for Question 6 is 3 marks)
7
A sequence begins 7, 12, 17, 22, ... Write down the next two terms of the sequence.
(Total for Question 7 is 2 marks)
8
Farhan buys 4 identical notebooks at £1.65 each and a diary costing £3.20. He pays with a £20 note. How much change does he receive?
(Total for Question 8 is 3 marks)
9
Write these fractions in order of size, smallest first: 3/4, 5/6, 7/12
(Total for Question 9 is 3 marks)
10
An L-shaped room is formed by cutting a 5 m by 3 m rectangular corner out of a 12 m by 8 m rectangle. Find the area of the L-shaped room.
(Total for Question 10 is 3 marks)
11
Find the mean of these six numbers: 4, 9, 13, 20, 16, 10.
(Total for Question 11 is 2 marks)
12
A cuboid box has length 9 cm, width 5 cm and height 4 cm. Find the volume of the box.
(Total for Question 12 is 3 marks)
13
A cyclist rides 18 km in the first hour of a journey and 24 km in the second hour. Find her average speed for the whole journey.
(Total for Question 13 is 3 marks)
14
By rounding each number to the nearest 10, estimate the value of 38 x 21.
(Total for Question 14 is 2 marks)
15
A bag contains 5 red counters, 3 blue counters and 2 green counters. A counter is picked at random. What is the probability that it is green? Give your answer as a fraction in its simplest form.
(Total for Question 15 is 3 marks)
16
A shop has 240 items in stock. 35% of the stock is sold in one day. How many items are left in stock?
(Total for Question 16 is 3 marks)
17
At midnight the temperature is -8 degrees C. By 6 am it has risen by 11 degrees C. By midday it has then fallen by 4 degrees C from its 6 am value. Find the temperature at midday.
(Total for Question 17 is 3 marks)
18
A roll of fabric is 5.4 m long. Pieces of length 70 cm are cut from the roll. How many whole pieces can be cut, and what length of fabric is left over?
(Total for Question 18 is 4 marks)
19
N is a whole number such that 20 < N < 40. N is a multiple of both 6 and 8. Find N.
(Total for Question 19 is 3 marks)
20
Three consecutive even numbers add up to 108. What is the largest of the three numbers?
(Total for Question 20 is 4 marks)
21
A rectangular wall measures 4.5 m by 3.2 m. Tins of paint each cover 6 m2, and paint can only be bought in whole tins. How many tins must be bought to paint the whole wall?
(Total for Question 21 is 4 marks)
22
The ratio of Mia's age to her brother Theo's age is 3 : 7. The sum of their ages is 40. Find the ratio of Mia's age to Theo's age in 5 years' time, giving your answer in its simplest form.
(Total for Question 22 is 4 marks)
23
A closed cuboid box has length 10 cm, width 6 cm and height 5 cm. Find the total surface area of the box.
(Total for Question 23 is 4 marks)
24
A van travels 60 km at an average speed of 30 km/h, then a further 105 km at an average speed of 35 km/h. Find the total time taken for the whole journey, in hours.
(Total for Question 24 is 4 marks)
25
A charity raises money from three fundraising events: a bake sale, a raffle and a sponsored walk. The bake sale raised £145 and the raffle raised £212. The sponsored walk raised 1.5 times as much as the bake sale and raffle combined. Find the total amount raised by all three events.
(Total for Question 25 is 5 marks)
26
Ali saves money in a bank account.
(a)Ali saves £400 in an account that pays simple interest of 5% of the original amount per year. How much interest has been added after 3 years?(2)
(b)Ali then withdraws the total amount in the account (his original £400 plus the interest from part a) and shares it equally between himself and 3 friends. How much does each person receive?(3)
(Total for Question 26 is 5 marks)
Mark scheme · EP.M91 Mixed Problem-Solving Paper F

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26