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FMO 2021 - Grade 5 - National - Paper 09 - Sample

Question 1

Which figure should replace the question mark?

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Question 2

Idiana Jones discovers a tomb with mysterious symbols on its door. The triangle and circle each represent a two-digit positive integer, and triangle ÷ circle = 3/7. What is the smallest possible value of triangle + circle?

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  1. 10
  2. 20
  3. 30
  4. 40
  5. 50

Question 3

A round table is seen from different directions. Which picture differs from the others?
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Question 4

A pizza is divided into 8 equal slices. Amy eats 1/4 of the pizza. Betty then eats 1/2 of the remaining pizza. How many slices are left?

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

Question 5

In an online mathematics lesson, the teacher gives a four-digit number divisible by 9. Minh hears only its first three digits: 1, 7 and 8, in that order. Find the last digit.
  1. 9
  2. 2
  3. 3
  4. 0
  5. 5

Question 6

How many squares are there in the figure?

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  1. 10
  2. 14
  3. 19
  4. 17
  5. 18

Question 7

Four planks make one goat pen, and seven planks make two pens, as shown. At least how many planks are needed to make four pens for four goats?

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  1. 12
  2. 14
  3. 10
  4. 16
  5. 11

Question 8

A carpenter cuts a long piece of wood into 2 smaller pieces in 20 seconds. How long does he need to cut it into 6 pieces?
  1. 50 seconds
  2. 60 seconds
  3. 80 seconds
  4. 120 seconds
  5. 100 seconds

Question 9

The graph records a patient’s body temperature over a day. Measurements started at 00:00 and were taken every 4 hours. By the time the temperature reached its highest recorded value, how many measurements had been taken?

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  1. 2
  2. 4
  3. 5
  4. 16
  5. 20

Question 10

Five numbered crickets move through the same maze. Their paths are marked in red. Which cricket travels the longest distance?

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

Question 11

Rice sacks of types A, B, C and D weigh 10 kg, 20 kg, 30 kg and 40 kg, in some order. The two balances give the results shown. How much does a type C sack weigh?

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  1. 20 kg
  2. 10 kg
  3. 40 kg
  4. 30 kg
  5. None of the above

Question 12

Following the pattern, how many cells are shaded in Figure 15?

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  1. 60
  2. 61
  3. 62
  4. 63
  5. None of the above

Question 13

A librarian records the numbers of books borrowed over a week in the bar chart, but Sunday’s value is missing. The average is 130 books per day. How many books were borrowed on Sunday?

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  1. 160
  2. 40
  3. 150
  4. 20
  5. None of the above

Question 14

A hidden box contains 13 red, 15 blue, 18 green and 14 white marbles. Lucy draws marbles without looking. What is the least number she must draw to be certain of getting at least 4 red and at least 7 blue marbles?
  1. 11
  2. 43
  3. 51
  4. 52
  5. None of the above

Question 15

A worker uses 12 identical cubes to build the two-step stair shown. He covers every exposed surface except the bottom with hard square tiles, one tile per small cube face. Each tile takes 2 minutes to lay. How many minutes does the whole task take?

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  1. 38
  2. 44
  3. 76
  4. 48
  5. None of the above

Question 16

Anna stacks four identical dice as shown. On each die, opposite faces have a total of 7 dots. Elsa views the stack from behind. Each letter F, M, O, D, I, C, E represents the number of dots on that face. Find F + M × O − D + I × C − E. Different letters may represent the same number.

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