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FMO 2026 - Grade 6 - Preliminary - Paper 01

Question 1

Which figure should fill the cell with the question mark?

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Question 2

Today is Friday, 2 June. Peter has a Math exam on the same date exactly one month later. On which day of the week is the exam?
  1. Thursday
  2. Friday
  3. Saturday
  4. Sunday
  5. Monday

Question 3

The square sheet in Figure 1 is folded in half and a hole is cut as in Figure 2. Select the positions of the holes when the paper is opened.

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  1. B3
  2. C1; C3
  3. A1; C3
  4. C3
  5. A3; C3

Question 4

Riley joins identical small cubes of side length 2 cm to form the big cube shown. Find its volume.

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  1. 128 cm³
  2. 96 cm³
  3. 16 cm³
  4. 32 cm³
  5. 64 cm³

Question 5

From 8 a.m. to 4 p.m., Sarah records the temperature each hour as shown. She drinks one cup of water whenever the recorded temperature is at least 24°C. How many cups does she drink?

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

Question 6

A monkey takes away two sevenths of the bananas in a basket, leaving 10 bananas. How many were there at first?
  1. 70
  2. 14
  3. 50
  4. 24
  5. 20

Question 7

A digital clock now shows 02:46. What is the least number of minutes until it again displays the four digits 0, 2, 4, 6, each exactly once?
  1. 44
  2. 120
  3. 18
  4. 100
  5. 80

Question 8

Following the pattern below, how many triangles are among the first 1000 figures?

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  1. 200
  2. 500
  3. 250
  4. 450
  5. 400

Question 9

Solve the addition puzzle to find the digit A. Identical letters represent identical digits.

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  1. 8
  2. 6
  3. 7
  4. 5
  5. 9

Question 10

Three squares are joined into the rectangle of area 108 cm² shown. Find the shaded area.

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  1. 72 cm²
  2. 81 cm²
  3. 36 cm²
  4. 32 cm²
  5. 48 cm²

Question 11

Using the displayed rule, find the result of the last operation.

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  1. 55
  2. 24
  3. 15
  4. 38
  5. 53

Question 12

Tap A alone fills a tank in 3 hours, and tap B alone fills it in 6 hours. How many hours do the two taps need if they run together?
  1. 9
  2. 0.5
  3. 2
  4. 3
  5. 2.5

Question 13

The pie chart divides a class into excellent, good, fair and poor performance. There are 18 more excellent students than poor students. How many students are in the class?

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  1. 60
  2. 120
  3. 72
  4. 180
  5. 150

Question 14

A teacher writes all two-digit numbers on the board, then erases every number divisible by 5. How many numbers remain?
  1. 73
  2. 82
  3. 80
  4. 72
  5. 81

Question 15

The solid shown is made of cubes with side lengths 3 dm and 5 dm. Find its total external surface area.

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  1. 204 dm²
  2. 161 dm²
  3. 186 dm²
  4. 145 dm²
  5. 152 dm²

Question 16

A box contains 18 white, 22 blue, 16 red and 25 black marbles. What is the least number drawn at random that guarantees at least 2 white and 3 black marbles?
  1. 59
  2. 41
  3. 43
  4. 40
  5. 65

Question 17

A square tablecloth of area 18 dm² fits exactly inside a circular tabletop as shown. Find the tabletop area not covered by the cloth. Use π=3.14.

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  1. 12.56 dm²
  2. 32.24 dm²
  3. 11.56 dm²
  4. 95.04 dm²
  5. 10.26 dm²

Question 18

Find the sum of Oliver's and his father's present ages using their statements in the figure.

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  1. 42
  2. 33
  3. 39
  4. 45
  5. 51

Question 19

Following the pattern below, how many matches form Figure 10?

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  1. 180
  2. 135
  3. 150
  4. 165
  5. None of the above

Question 20

Find the missing number in the bag puzzle.

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  1. 27
  2. 21
  3. 18
  4. 24
  5. 30