11+ Entrance Mathematical Problem Solving Questions and Answers

Question 1

Aisha buys 3 magazines at £2.50 each and a book for £5.99. She pays with a £20 note. How much change does she receive?

Accepted Answer

£6.51

Answer

£7.51

Answer

£11.51

Answer

£14.01

Question 2

A bus leaves a depot at 09:15 and arrives at the town centre at 10:05. It then waits for 7 minutes before continuing its journey to the park, which takes a further 22 minutes. At what time does the bus arrive at the park?

Accepted Answer

10:34

Answer

10:27

Answer

10:12

Answer

10:44

Question 3

A bag of flour weighs 1.5 kg. A baker uses 2/5 of the flour for a loaf of bread and then 20% of the *remaining* flour for some scones. How much flour is left in the bag, in grams?

Accepted Answer

720g

Answer

900g

Answer

600g

Answer

180g

Question 4

A rectangular garden is 12 metres long and 8 metres wide. A square patio with sides of 3 metres is laid in one corner of the garden. What is the area of the lawn that remains?

Accepted Answer

87 m²

Answer

96 m²

Answer

9 m²

Answer

93 m²

Question 5

A recipe for 12 cupcakes requires 150g of sugar. How much sugar is needed to make 30 cupcakes?

Accepted Answer

375g

Answer

300g

Answer

450g

Answer

225g

Question 6

The mean score of four children in a test is 7. Three of the children scored 6, 9, and 5. What was the score of the fourth child?

Accepted Answer

8

Answer

7

Answer

9

Answer

6