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Counting and multi-step puzzles · SET 5

Question 1

More cubes are added to the first block to build the second block. How many more cubes should be added?

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Question 2

Seven people A, B, C, D, E, F and G meet and shake hands. Each person shakes hands once with each of the others. How many handshakes are done?

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Question 3

How many digit 8s are there in all the numbers from 1 to 50?

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Question 4

How many different ways are there for Peter to go home? Choose the correct answer.

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  1. 1
  2. 2
  3. 3
  4. 4

Question 5

How many rectangles do you see? Choose the correct answer.

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  1. 3
  2. 4
  3. 5
  4. 6

Question 6

How many triangles do you see? Choose the correct answer.

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  1. 3
  2. 5
  3. 6
  4. 7

Question 7

How many squares do you see? Choose the correct answer.

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  1. 6
  2. 7
  3. 8
  4. 9

Question 8

How many triangles do you see? Choose the correct answer.

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  1. 4
  2. 5
  3. 6
  4. 7
  5. 8

Question 9

Study the two balances. Which is the lightest? Choose the correct box.

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  1. Green box
  2. Pink box
  3. Blue box

Question 10

Ethan dropped his box of number cards. The cards were numbered from 1 to 20. Find the sum of the numbers of the 3 cards left in the box.

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Question 13

The pattern below is made by a frog. What is the next number the frog will land on?

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Question 14

How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes? Answer with a natural number.

Question 15

A large volume of water is gushing through a pipe which narrows at the outlet. At which point, A, B, C or D, will the water flow fastest? Choose from the options labelled in the figure.

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  1. A
  2. B
  3. C
  4. D

Question 16

Which of the following factors is most likely to determine that the pendulums on two clocks will swing back and forth at exactly the same rate?
  1. the size of the pendulum arc
  2. the length of the rod or string
  3. the weight of the bob
  4. the synchronicity of the timekeeping of the two clocks

Question 18

A company produces 864 white, black and red motor vehicles per week in the ratio 1 : 5 : 3. How many black cars does the company produce per week? Answer with a natural number.

Question 19

How tall, in feet, is a sapling that is 3 feet shorter than a fence that is four times the height of the sapling? Answer with a natural number.

Question 20

In a right-angled triangle, what is the length of the hypotenuse, in centimetres, if the two shortest sides are 10 cm and 24 cm? Answer with a natural number.