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FMO 2022 - Grade 5 - 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

In the P.E. lesson, 45 students form two lines: boys in one line and girls in the other. The girls’ line has 9 more students than the boys’ line. How many girls are there?
  1. 18
  2. 27
  3. 36
  4. 9
  5. 54

Question 4

Calculate: $\frac14\div2+\frac34\div\frac25$.
  1. $2$
  2. $\frac{19}{8}$
  3. $\frac45$
  4. $1$
  5. $\frac{35}{16}$

Question 5

Find the smallest five-digit number with all digits different that is divisible by 5.
  1. 10000
  2. 12345
  3. 10235
  4. 10005
  5. 10234

Question 6

Each day, Megan spends one third of the day sleeping and one fourth of the day studying. How many hours are left for other activities?
  1. 14
  2. 10
  3. 7
  4. 17
  5. 12

Question 7

A diamond-shaped kite is made from two wooden sticks of lengths 30 cm and 40 cm, as shown. Find the area of the kite in cm².

Question illustration
  1. 900
  2. 300
  3. 800
  4. 1200
  5. 600

Question 8

How many two-digit numbers are divisible by both 2 and 5?
  1. 10
  2. 9
  3. 8
  4. 20
  5. 11

Question 9

Cassie stacks identical cubes as shown. What is the least number of cubes she needs?

Question illustration
  1. 10
  2. 14
  3. 13
  4. 12
  5. 11

Question 10

The bar graph shows Anna’s, Ben’s and Claire’s math-test scores. What is their average score?

Question illustration
  1. 11
  2. 13
  3. 22
  4. 14
  5. 39

Question 11

The librarian arranges books in the repeating pattern shown. When she finishes, there are 123 books. How many are orange?

Question illustration
  1. 30
  2. 31
  3. 32
  4. 33
  5. 34

Question 12

Twenty houses on a street are numbered with consecutive odd numbers. The first house number is 11. Find the last house number.
  1. 49
  2. 31
  3. 51
  4. 47
  5. 30

Question 13

Paul surveys every student in his class about their favourite pet. The numbers on the vertical scale were accidentally erased. If 9 more students choose dogs than cats, how many students are in the class?

Question illustration
  1. 40
  2. 35
  3. 75
  4. 30
  5. 45

Question 14

Friends join three identical square tables edge to edge to make the long table shown. Its perimeter is 480 cm. Find the perimeter of one square table.

Question illustration
  1. 192 cm
  2. 320 cm
  3. 240 cm
  4. 360 cm
  5. 3600 cm²

Question 15

Every day in May, Julia either runs for 30 minutes or swims for 20 minutes. During the month she spends 9 hours running. How many minutes does she spend swimming?
  1. 450
  2. 270
  3. 180
  4. 240
  5. 260

Question 16

Eight students place eight identical square papers bearing their names, one after another, to make the picture shown. Cindy places hers eighth. Who places theirs fifth?

Question illustration
  1. Andy
  2. Dan
  3. George
  4. Bella
  5. Henry

Question 17

Jane draws and paints the house shown on a square grid. Each cell has side length 1 cm. Find the area of the painted region.

Question illustration
  1. 37 cm²
  2. 38 cm²
  3. 36 cm²
  4. 35 cm²
  5. None of the above

Question 18

A box contains 13 red, 15 blue, 18 green and 14 white marbles. Lucy draws without looking. What is the least number she must draw to guarantee at least one marble of every colour?
  1. 60
  2. 48
  3. 4
  4. 43
  5. None of the above

Question 19

A book has 1000 pages numbered 1 to 1000. How many page numbers are divisible by 5 but not by 2?
  1. 90
  2. 100
  3. 199
  4. 101
  5. 91

Question 20

Following the pattern shown, how many small squares are in Figure 8?

Question illustration
  1. 68
  2. 98
  3. 113
  4. 128
  5. None of the above