Multi-Step Mixed Reasoning Challenge Set 4 - Worksheets, Questions and Revision

13 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 5)
« Previous: Logic Grids and Deduction Puzzles Set FNext: GL Assessment Style Maths Mock Paper 1 »
Revision Library
revisionlibrary.co.uk
11+ · Multi-topic reasoning

EP.M134 Multi-Step Mixed Reasoning Challenge Set 4

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Which of these is the largest number?
  • A) 7/12
  • B) 3/5
  • C) 11/20
  • D) 0.55
  • E) 57%
(Total for Question 1 is 1 mark)
2
What is the units digit of 34 + 73?
  • A) 1
  • B) 3
  • C) 4
  • D) 7
  • E) 9
(Total for Question 2 is 1 mark)
3
Three friends share £420 in the ratio 3: 5: 7. How much does the friend with the middle share receive?
  • A) £84
  • B) £105
  • C) £140
  • D) £175
  • E) £210
(Total for Question 3 is 1 mark)
4
A car travels 150 km in 2 hours 30 minutes. What is its average speed in km/h?
  • A) 50 km/h
  • B) 55 km/h
  • C) 60 km/h
  • D) 65 km/h
  • E) 75 km/h
(Total for Question 4 is 1 mark)
5
Priya buys 3 identical boxes of biscuits. Each box contains 450 g of biscuits and costs £2.40. She also buys a pack of ribbons costing £1.65. She divides all the biscuits into gift bags of 150 g and sells each bag for £0.95. Work out her profit or loss in pounds, to the nearest penny.
(Total for Question 5 is 3 marks)
6
A rectangle has width w cm and length 2w + 2 cm. Its area is 180 cm2. Find the width and the length of the rectangle.
(Total for Question 6 is 3 marks)
7
A school has 240 pupils. Three eighths of the pupils play football and one sixth play cricket; the remaining pupils do other activities. Of the pupils who play football, 40% are girls. Work out
(a)the number of pupils who play football.(1)
(b)the number of girls who play football.(1)
(c)the number of girls who play football as a percentage of the whole school.(2)
(Total for Question 7 is 4 marks)
8
A cyclist rides 12 km in 45 minutes. He then increases his speed by 25% and rides for a further 30 minutes. Work out the total distance he travels, giving your answer in kilometres.
(Total for Question 8 is 4 marks)
9
In a class the ratio of boys to girls is 5: 4. Six more boys join the class and two girls leave. The new ratio of boys to girls becomes 3: 2. How many girls were in the class originally?
(Total for Question 9 is 3 marks)
10
A triangle is right-angled. One side is 5 cm and the hypotenuse is 13 cm. Find the area and the perimeter of the triangle.
(Total for Question 10 is 4 marks)
11
A jacket costs £120 before VAT. VAT at 20% is added, and then the shop applies a 15% discount to the new price. Work out the final price Priya pays, to the nearest penny.
(Total for Question 11 is 4 marks)
12
A 240 ml jug contains orange juice and apple juice. The jug is 40% orange juice and the rest is apple juice. 25% of the apple juice is poured away and replaced with orange juice. What percentage of the jug is now orange juice?
(Total for Question 12 is 4 marks)
13
A large cube is made from 5 x 5 x 5 small unit cubes and then the outside faces of the large cube are painted. The large cube is then cut back into the small unit cubes. How many of the small cubes have exactly two faces painted?
(Total for Question 13 is 4 marks)
Mark scheme · EP.M134 Multi-Step Mixed Reasoning Challenge Set 4

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