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FMO 2026 - Grade 6 - Preliminary - Paper 02

Question 1

Which figure should fill the space with the question mark?

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Question 2

Jennifer forms the cuboid shown from identical small cubes. How many small cubes does she use?

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  1. 32
  2. 36
  3. 16
  4. 24
  5. 64

Question 3

Which letter below does not have a horizontal line of symmetry? The original printed letter shapes are shown.

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  1. X
  2. O
  3. D
  4. C
  5. A

Question 4

A die has opposite faces whose numbers of dots add to 7. Which picture cannot be correct?
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Question 5

Alex surveys his classmates' favourite football clubs. Which two clubs together receive half of the votes?

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  1. Man. United, Man. City
  2. Barcelona, Chelsea
  3. Juventus, Chelsea
  4. Real Madrid, Barcelona
  5. Man. United, Barcelona

Question 6

Which expression is correct?
  1. $\frac{1}{3}=0.3$
  2. $\frac{3}{5}<\frac{1}{2}$
  3. $\frac{5}{8}>0.6$
  4. $\frac{6}{7}>\frac{10}{11}$
  5. $\frac{5}{6}=0.8$

Question 7

A train departs at 9:45 and reaches the next stop 13 hours 18 minutes later. Which clock can Andy see when he gets off?
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Question 8

Find the digit hidden by the lion in the multiplication. Both lions hide the same digit.

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

Question 9

Use the rule shown to find the last result.

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  1. 2616
  2. 216
  3. 2161
  4. 181
  5. 2166

Question 10

Four friends compare the purple and green areas as shown. Who is correct?

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  1. Ben
  2. Martha
  3. Victoria
  4. Jenny
  5. No one

Question 11

The chart shows the numbers of pancakes and chiffon cakes sold each weekday. On which two days are the combined totals equal?

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  1. Tuesday, Thursday
  2. Wednesday, Monday
  3. Thursday, Monday
  4. Monday, Friday
  5. Tuesday, Friday

Question 12

A prime has exactly two positive divisors, 1 and itself. Using the digits 1, 3 and 5, how many two-digit primes can Lexie form if repetition is allowed?

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

Question 13

A store sells half its books on the first day and two thirds of the remainder on the second day. Eight books are then left. How many books were there originally?
  1. 24
  2. 40
  3. 45
  4. 48
  5. 52

Question 14

Annie alone completes a project in 9 hours, Bailey alone in 12 hours. Together with Christine, they finish in 3 hours. How many hours does Christine need alone?

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  1. 5.1
  2. 7.2
  3. 7
  4. 4.5
  5. 8

Question 15

Which fraction is the ratio of the shaded area to the white area?

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  1. $\frac{34}{30}$
  2. $\frac{35}{64}$
  3. $\frac{35}{29}$
  4. $\frac{29}{35}$
  5. $\frac{36}{28}$

Question 16

A bag contains 24 purple, 17 orange, 12 green and 26 white balls. What is the least number drawn that guarantees at least 9 purple, 3 green and 5 white balls?
  1. 50
  2. 70
  3. 44
  4. 67
  5. 82

Question 17

A ferry takes 6 hours from A to B downstream and 10 hours back upstream. The current speed is 3 km/h. If the distance is x km, which statement is true?
  1. 85 < x < 95
  2. 75 < x < 85
  3. 65 < x < 75
  4. 95 < x < 105
  5. 115 < x < 125

Question 18

Which statement about the line chart is correct?

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  1. The two classes have the same average Math score in exactly one month.
  2. Class 6A has a higher average than 6B in three months.
  3. Both classes have increasing averages in the last three months.
  4. Each class has an average Math score of 9 exactly once.
  5. The lowest average Math score of the two classes is 7.

Question 19

When adding X and Y, the tens digit of X is mistakenly copied as 7 instead of 5, its hundreds digit as 2 instead of 6, and the units digit of Y as 6 instead of 3. The incorrect sum is 7428. What is the correct sum?
  1. 7482
  2. 7051
  3. 7427
  4. 7429
  5. 7805

Question 20

Pierce adds the lengths of three sides of a rectangular plot and gets 175 m. Luca also adds three sides, but gets 218 m. Find the area of the plot in square metres.
  1. 3828
  2. 3822
  3. 3966
  4. 3696
  5. None of the above