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FMO 2026 - Grade 8 - International - Paper 09

Question 1

Each month Lucy’s doll total equals the sum of her totals in the previous two months. She has 8 dolls in April and 21 in June. How many did she have in January?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 2

A rectangular sheet is folded twice and cut along the red lines as shown. How many pieces result?

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  1. 16
  2. 9
  3. 12
  4. 10
  5. 8

Question 3

The caterpillar and butterfly stand for natural numbers. The butterfly is a two-digit number. Find the greatest possible caterpillar value.

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  1. 130
  2. 140
  3. 150
  4. 160
  5. 170

Question 4

Tom cycles at 20 km/h and runs at 12 km/h in a combined 21 km race. He cycles for 45 minutes. How long does the whole race take?

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  1. 20 min
  2. 30 min
  3. 45 min
  4. 60 min
  5. 75 min

Question 5

Find the interior angle at A in the star.

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  1. 10°
  2. 20°
  3. 30°
  4. 35°
  5. 40°

Question 6

Fill the seven cells with 0,1,2,3,4,5,6, each once, to add two two-digit numbers. What is the units digit of the sum?

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

Question 7

Anna travels 30 km straight, turns right for 25 km, turns right for 10 km, then turns right for another 10 km. Find the shortest distance between her starting point and her grandparents’ house.

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  1. 25 km
  2. 75 km
  3. 35 km
  4. 15 km
  5. 55 km

Question 8

Following the pattern, how many small squares are in Figure 50?

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  1. 302
  2. 308
  3. 312
  4. 316
  5. None of the above

Question 9

The three balances are level. Find the weight of the heaviest ball.

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  1. 1.8 kg
  2. 0.4 kg
  3. 2.0 kg
  4. 1.2 kg
  5. 1.6 kg

Question 10

Candace stacks 6 cubes of volume 8 cm³ each as shown. She paints all exposed surfaces except the bottom. Find the total unpainted area of the boxes in cm².

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  1. 72
  2. 56
  3. 144
  4. 76
  5. 112

Question 11

Two identical equilateral triangles overlap to form the star shown. Each has area 36 cm². Find the star’s area.

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Intended geometric convention: the triangles share a centre and are oppositely oriented, producing the symmetric regular six-pointed star shown.
  1. 60 cm²
  2. 72 cm²
  3. 54 cm²
  4. 48 cm²
  5. None of the above

Question 12

Nine egg packets contain 3,7,8,10,11,12,14,15,20 eggs. Sofia and Nana buy 4 packets each, and Nana’s egg total is twice Sofia’s. How many eggs are in the remaining packet?
  1. 7
  2. 11
  3. 10
  4. 14
  5. 20

Question 13

Lines are drawn on three faces of a cuboid. The ant starts at the marked corner and moves toward the sugar along drawn lines or the edges, always getting closer to the sugar and farther from its start. How many routes are possible?

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Source clarification: “the edges” can be read in two ways. For the intended reference-key interpretation, use only the visible grid network and its boundary edges on the three shown faces. The solution also analyses allowing every cuboid edge.
  1. 20
  2. 26
  3. 24
  4. 16
  5. 18

Question 14

A square paper of perimeter 8 m lies on a circular table with all four vertices on the circle. Find the table area not covered by paper.

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  1. 8π − 8
  2. 32π − 64
  3. 4π − 8
  4. 2π − 4
  5. 4π − 4

Question 15

Father leaves home at 09:00, goes to the park, then Lucy’s camp, then home. The graph gives his distance from home. His average speed over the entire trip is 24 km/h. When does he reach the camp?

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Intended model: travel is along one route without detours; the graph’s flat part is a stop, and whole-trip average speed includes that stop.
  1. 12:30
  2. 11:30
  3. 12:15
  4. 12:45
  5. None of the above

Question 16

Anna,Ben,George,Sarah must pass through a dark tunnel. At most two may travel together, carrying their single candle. A pair moves at the slower person’s pace. Their one-way times are shown. What is the minimum total time to get everyone through?

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