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FMO 2022 - Grade 4 - Preliminary - Paper 04

Question 2

According to the pattern below, find the figure that replaces the question mark.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 3

Find the number Sandy said at the beginning. The chain of operations is subtract 3, multiply by 5, then add 16; Robert ends with 131.

Question illustration
  1. 58
  2. 26
  3. 732
  4. 20
  5. 578

Question 4

Calculate 15 × 30 − 11 × 15 − 9 × 15.
  1. 150
  2. 10
  3. 250
  4. 15
  5. 300

Question 5

Find the smallest five-digit number with all digits different.
  1. 10000
  2. 12345
  3. 10234
  4. 10001
  5. 01234

Question 6

Lucy does 2 or 3 exercises each day. On no two consecutive days does she do the same number. What is the greatest number she can do in one week?
  1. 14
  2. 18
  3. 15
  4. 21
  5. 19

Question 7

How many squares are in the figure below?

Question illustration
  1. 10
  2. 9
  3. 11
  4. 13
  5. 12

Question 8

How many two-digit numbers have a units digit greater than 7?
  1. 17
  2. 18
  3. 16
  4. 20
  5. 19

Question 9

Drake stacks identical cubes to form the figure below. What is the least number of cubes he needs?

Question illustration
  1. 9
  2. 8
  3. 10
  4. 7
  5. 11

Question 10

The bar chart shows the scores of five students in a maths test. Claire has the highest score and Ben the lowest. Find the sum of their scores.

Question illustration
  1. 26
  2. 29
  3. 28
  4. 27
  5. 25

Question 11

How many circles are among the first 100 figures in the repeating sequence shown?

Question illustration
  1. 25
  2. 50
  3. 75
  4. 55
  5. 40

Question 12

All houses on a street are labelled with consecutive even numbers. The first is 38 and the last is 62. How many houses are there?

Question illustration
  1. 13
  2. 12
  3. 25
  4. 24
  5. 14

Question 13

Andrea surveys her class about their favourite season but accidentally erases the numbers on the chart’s vertical scale. If 8 students prefer winter, how many prefer summer?

Question illustration

The bars are Winter, Spring, Summer and Fall; the title is Favourite Season and the vertical axis is Number of Students.
  1. 40
  2. 16
  3. 24
  4. 18
  5. 20

Question 14

Inside a square garden of side 7 m, a square swimming pool of side 5 m is built. Find the area of the remaining garden.

Question illustration
  1. 12 m²
  2. 8 m²
  3. 24 m²
  4. 35 m²
  5. 2 m²

Question 15

Paul needs 25 minutes to get ready and 35 minutes to cycle to school. School starts at 8:20 a.m., and he must arrive 5 minutes early. What time should he set his alarm for?
  1. 7:05
  2. 7:10
  3. 7:20
  4. 7:25
  5. 7:15

Question 16

Six friends A, B, C, D, E and F sit around a round table as shown. A is second to F’s left. B sits next to both C and D. E is second to D’s right. Who sits opposite F?

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E

Question 17

Eight identical squares form the letter F shown. Its perimeter is 72 cm. Find its total area in square centimetres.

Question illustration
  1. 256
  2. 81
  3. 32
  4. 128
  5. None of the above

Question 18

Following the pattern shown, how many matchsticks make a row of 20 houses?

Question illustration
  1. 101
  2. 96
  3. 120
  4. 100
  5. None of the above

Question 19

A tailor cuts each roll of fabric into 6 equal pieces. He makes 8 cuts per minute. How many rolls can he cut in 1 hour?
  1. 60
  2. 54
  3. 96
  4. 48
  5. None of the above

Question 20

A number is called special if all its digits are even, for example 240 or 686. How many special three-digit numbers are there?
  1. 125
  2. 100
  3. 60
  4. 80
  5. 75