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FMO 2026 - Grade 6 - National - Paper 07

Question 1

Which figure completes the cell containing the question mark?

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Question 2

Each number above a row equals the sum of the three adjacent numbers below, centred under it. Find A+B.

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  1. 294
  2. 254
  3. 315
  4. 324
  5. 356

Question 3

Six bridges connect the islands shown. An explorer visits A, then B, then C, then D, and returns to A, crossing one connecting bridge on each leg. How many routes are possible?

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

Question 4

Which figure comes next in the sequence?

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Question 5

On a field trip, class 5A is divided into groups of seven girls or four boys. Several whole groups line up. Which number cannot be the number of students in that line?

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  1. 22
  2. 21
  3. 18
  4. 17
  5. 25

Question 6

Minnie joins identical matchsticks to make the sequence of cube frames. How many sticks are needed for the next figure?

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  1. 30
  2. 36
  3. 40
  4. 44
  5. 48

Question 7

A store uses $\frac1{11}$ of its jars for macarons, then $\frac1{10}$ of the remaining jars for cookies. The remaining 18 jars hold jelly beans. How many jars are there in total?
  1. 18
  2. 20
  3. 22
  4. 24
  5. 26

Question 8

Four teams plant 100 trees altogether, with their shares shown in the pie chart. Which option could be the number planted by Team 1?

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  1. 10
  2. 23
  3. 25
  4. 27
  5. 50

Question 9

Alice leaves home at 15:00 and cycles at 6 km/h, reaching her friend at 15:20. She stays 45 minutes, then cycles home along the same route at 8 km/h. When does she arrive home?
  1. 16:20
  2. 16:50
  3. 16:10
  4. 16:15
  5. 17:20

Question 10

Each small square has side 1 cm. Find the total shaded area in all five grids.

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  1. 35 cm²
  2. 37 cm²
  3. 38 cm²
  4. 39 cm²
  5. 40 cm²

Question 11

Six identical rectangular wooden bars form the cube shown, whose surface area is 54 dm². Find the surface area of one bar.

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  1. 9 dm²
  2. 12 dm²
  3. 15 dm²
  4. 18 dm²
  5. None of the above

Question 12

Seven students Alice, Ben, Cindy, Dan, Erik, Fred and Grace receive the seven scores in the chart, with names removed. Find Erik’s score. Alice and Grace differ by 1 point. Grace is 4 below Cindy; Cindy is 3 above Ben. Dan’s score is strictly between Ben’s and Fred’s. Cindy is either highest or lowest.

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

Question 13

Peter finishes a mathematics book and an English book during the month. The table records his weekly pages. One quarter of the mathematics book is read in the final week. How many pages does the English book have?

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  1. 62
  2. 65
  3. 68
  4. 71
  5. 75

Question 14

A box has 6 red,8 green,10 blue,12 yellow and 15 white balls. Suzy draws without looking and without replacement. What is the minimum number that guarantees at least 3 red and at least 2 green balls?
  1. 5
  2. 14
  3. 42
  4. 45
  5. 48

Question 15

The balanced hanging system contains four Moon boxes, two Earth boxes and a 20-kg weight. Find the mass of one Earth box. Treat the beams and strings as weightless.

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  1. 2 kg
  2. 4 kg
  3. 6 kg
  4. 8 kg
  5. None of the above

Question 16

Four friends take photos on a trip. Each friend appears in 4 or 5 photos, and exactly three friends appear in every photo. How many photos are taken?