Counting and multi-step puzzles · SET 1

Question 1

A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain he has a pair of black socks?

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Question 2

You have 59 cubic blocks. What is the minimum number that needs to be taken away in order to construct a solid cube with none left over?

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Question 3

A market stall owner found that 72 eggs in a consignment were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment?

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Question 4

The cost of an identical three-course lunch for four people was £56.00. The main course cost twice as much as the sweet, and the sweet cost twice as much as the starter. How many pounds did the main course cost per person?

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Question 5

To which hexagon below can a dot be added so that both dots then meet the same conditions as the two dots in the hexagon above?

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Question 6

Three teams, from England, Scotland and Wales, are competing for two trophies, one for golf and one for tennis. How many different outcomes of the two competitions exist?

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Question 7

In eight years' time the combined age of me and my two sons will be 124. What will it be in five years' time?

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Question 8

How many minutes is it before 12 noon if nine minutes ago it was twice as many minutes past 10 am?

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Question 9

Which is the missing box?

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Question 10

How many lines appear below?

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Question 11

How many minutes is it before 12 noon, if 48 minutes ago it was twice as many minutes past 9 am?

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Question 12

Which shield below has most in common with the shield above?

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Question 13

What is one-third of one-quarter of one-fifth of one-half of 120?

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Question 14

Which is the odd one out?

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Question 15

How many lines appear below?

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Question 16

Which is the missing tile?

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Question 17

Pack 112 pairs of shoes into cases holding 28 individual shoes each. How many cases are needed?

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Question 18

A blind man had only black or white socks. In his drawer he had 4 socks, and he took out 2 at random. The chance that he had a pair of white socks was 1/2. What was the chance that he had drawn a pair of black socks? Give the probability as a number.

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Question 19

At a college, 70% of the students studied Maths, 75% studied English, 85% studied French and 80% studied German. At least what percentage must have studied all 4 subjects? Give the number of percent.

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Question 20

A football club has 17 players in its squad: 9 English players and 8 foreign players. How many different teams can be selected if each team has 5 English players and 6 foreign players?

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