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FMO 2026 - Grade 6 - International - Paper 09

Question 1

Jake watches a flock of healthy sheep. There are 120 fewer sheep noses than sheep legs. How many sheep are there?
  1. 17
  2. 21
  3. 40
  4. 12
  5. 14

Question 2

Kellie and Liam cycle on a track 300 m around. Kellie rides three laps in 100 seconds; Liam rides five laps in 200 seconds. Who is slower, and what is that cyclist’s speed?
  1. Kellie, 9 m/s
  2. Kellie, 7.5 m/s
  3. Liam, 3.3 m/s
  4. Liam, 7.5 m/s
  5. Liam, 9 m/s

Question 3

The first group contains 1 square, the second 5 squares and the third 14 squares. Continue the pattern: how many squares of all sizes are in the fourth group?

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  1. 16
  2. 20
  3. 25
  4. 28
  5. 30

Question 4

Each letter in the addition represents a different digit. Find A + B + C.

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  1. 9
  2. 10
  3. 11
  4. 12
  5. 13

Question 5

Each rotation is clockwise, as shown from Figure 1 to Figure 2. Starting from Figure 2, Jane rotates another 2022 times. Which option results?

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Rotate = Quay; Figure = Hình. R/G/B/Y label red/green/blue/yellow cells; the printed letters stay upright as colour labels.
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Question 6

Leo folds a square sheet in half twice and cuts out the tilted rectangle shown, cutting through every layer. How many separate pieces does he obtain when the paper is unfolded? Count the cut-out pieces too.

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  1. 13
  2. 16
  3. 12
  4. 15
  5. 20

Question 7

Greg has 100 identical 4 cm by 2 cm rectangles. He arranges them as shown: each rectangle’s top-left vertex is at the midpoint of the preceding rectangle’s bottom edge. Find the perimeter of the final figure.

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  1. 800 cm
  2. 404 cm
  3. 804 cm
  4. 402 cm
  5. 808 cm

Question 8

Uncle John has three nieces, Abby, Bella and Cindy. Abby is two years older than Bella and two years younger than Cindy. Uncle John’s age equals the sum of their ages. Which listed age can be his?

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Intended age convention: all ages are whole numbers of years.
  1. 35
  2. 36
  3. 37
  4. 38
  5. 40

Question 9

Three rice sacks are weighed in every possible pair. The pair weights are 127 kg, 128 kg and 131 kg. What is the lightest sack’s mass?
  1. 63 kg
  2. 62 kg
  3. 64 kg
  4. 65 kg
  5. 66 kg

Question 10

The pie chart represents a restaurant’s sales of four dishes. Cookie sales exceed sandwich sales by 270 dollars. Find the sales amount for fries.

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Cookies = Bánh quy; Sandwiches = Bánh kẹp; Fries = Khoai tây chiên; Pizza = Pizza.
  1. 630 dollars
  2. 595 dollars
  3. 665 dollars
  4. 700 dollars
  5. 735 dollars

Question 11

Five locks have the letter passwords shown; each occurrence of a letter stands for the same digit. The five matching keys are mixed up, and one numerical label is missing. Find the missing label.

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  1. 312
  2. 134
  3. 314
  4. 132
  5. 413

Question 12

Thirteen identical cubes form the solid shown. Its total surface area is 1656 cm². Find its total volume.

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  1. 351 cm³
  2. 832 cm³
  3. 1625 cm³
  4. 2808 cm³
  5. None of the above

Question 13

Harry and Ron each join six identical rectangles into the shapes shown. Harry’s perimeter is 32 cm less than Ron’s. Find the perimeter of one small rectangle.

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  1. 24 cm
  2. 48 cm
  3. 54 cm
  4. 30 cm
  5. 42 cm

Question 14

A box contains 100 balls numbered 1 through 100, one of each. What is the least number drawn without replacement that guarantees two balls whose numbers sum to 100?

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  1. 49
  2. 50
  3. 51
  4. 52
  5. 53

Question 15

A car leaves a gas station for the airport at 60 km/h. A truck leaves the same station 10 minutes later in the same direction at constant speed. The truck catches the car 1 hour 40 minutes after its own departure. Find the truck’s speed.
  1. 62 km/h
  2. 64 km/h
  3. 66 km/h
  4. 68 km/h
  5. None of the above

Question 16

Farmer Ben has seven fruit trees with the initial fruit counts shown. Each day he visits only one tree and collects at most 10 fruits; he may revisit trees. After three weeks, what is the smallest possible total number of fruits left? Treat the initial fruit inventory as fixed, with no new growth or other loss.

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