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FMO 2022 - Grade 4 - International - Paper 06

Question 1

Pascal took 111600 steps in September. What was his average number of steps per day that month?
  1. 3600
  2. 3720
  3. 3620
  4. 3700
  5. 3760

Question 2

Find the missing figure from the pattern.

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

Question 3

How many two-digit numbers are divisible by 4?
  1. 25
  2. 22
  3. 20
  4. 21
  5. 23

Question 4

Class 4A initially has 40 students. After two girls join, the number of girls is six times the number of boys. How many girls were there initially?
  1. 5
  2. 36
  3. 42
  4. 7
  5. 34

Question 5

Mr Johnson uses identical square tiles to build the shown path from his house to the pond. The path has total area 72 m². Find its perimeter.

Question illustration
  1. 54 m
  2. 48 m
  3. 69 m
  4. 75 m
  5. 96 m

Question 6

Anna began exercising on Thursday and walks exactly 20 minutes each day. By the end of today she has walked 11 hours altogether. What day is today?
  1. Saturday
  2. Friday
  3. Wednesday
  4. Tuesday
  5. Monday

Question 7

Aurora paints the heart shown on a square grid with cells of side 1 cm. Find the painted area.

Question illustration
  1. 15 cm²
  2. 14 cm²
  3. 13 cm²
  4. 16 cm²
  5. 18 cm²

Question 8

Five teams plant trees as shown in the bar chart. Team B plants 20 more trees than team D. How many trees do the five teams plant altogether?

Question illustration

Team A–E identifies the five teams; NUMBER OF TREES labels the bar values.
  1. 152
  2. 190
  3. 148
  4. 156
  5. 160

Question 9

Three friends each write a four-digit number on a piece of paper and place the papers on the table as shown. Their numbers total 10237. Anna places her paper first. What number does she write?

Question illustration
  1. 3886
  2. 2481
  3. 2416
  4. 3686
  5. 2486

Question 10

Seven books are stacked from top to bottom in the order blue, yellow, purple, pink, brown, green, red, as shown. Each turn moves the top book to the bottom. After 100 turns, what colour is on top?

Question illustration
  1. Green
  2. Blue
  3. Red
  4. Yellow
  5. Purple

Question 11

Sheldon folds a square sheet in half twice and cuts along the red lines shown. How many pieces of paper does he obtain?

Question illustration
  1. 12
  2. 8
  3. 6
  4. 7
  5. 10

Question 12

Given 3 ⊕ 4 = 4 + 5 + 6 and 4 ⊕ 8 = 8 + 9 + 10 + 11, find 30 ⊕ 40.
  1. 1635
  2. 1650
  3. 2200
  4. 150
  5. 1050

Question 13

A store sells dresses for 24 dollars each and T-shirts for 15 dollars each, as shown. It sells 200 items and receives 3774 dollars. How many dresses are sold?

Question illustration

Price per item: Dress, 24 dollars; T-Shirt, 15 dollars.
  1. 51
  2. 114
  3. 86
  4. 157
  5. 32

Question 14

Mrs Wendy measures three lengths on the boundary of her land as shown. What is the land’s total perimeter?

Question illustration
  1. 160 m
  2. 164 m
  3. 112 m
  4. 84 m
  5. 168 m

Question 15

Solve the pictured equations to find the value of a hat.

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  1. 8
  2. 11
  3. 13
  4. 10
  5. None of the above

Question 16

Candace stacks 14 identical cubes, each of side 2 cm, as shown. She paints every exposed surface yellow except the bottom. Find the total painted area.

Question illustration
  1. 176 cm²
  2. 156 cm²
  3. 168 cm²
  4. 148 cm²
  5. 160 cm²

Question 17

A three-digit number is special if all its digits are different and it is divisible by 5. How many special numbers are there?
  1. 136
  2. 144
  3. 128
  4. 112
  5. 162

Question 18

Katie uses 4 sticks for figure 1, 10 for figure 2 and 18 for figure 3. Following the shown pattern, how many sticks are needed for figure 84?

Question illustration

The source labels the first, second and third figures.
  1. 7310
  2. 7140
  3. 7308
  4. 7224
  5. 7392

Question 19

Jack combines one square and three identical rectangles into the large rectangle shown. Jane removes one small rectangle and rearranges the remaining pieces as shown. The perimeter decreases by 12 cm. Find the perimeter of Jane’s figure.

Question illustration
  1. 84 cm
  2. 108 cm
  3. 48 cm
  4. 96 cm
  5. 192 cm

Question 20

A box contains 2022 balls numbered 1 to 2022. What is the least number to draw without replacement to guarantee two whose numbers differ by 24?
  1. 1015
  2. 1033
  3. 1011
  4. 1013
  5. None of the above