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FMO 2026 - Grade 6 - International - Paper 10

Question 1

Which figure belongs in the cell with the question mark?

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Question 2

Father leaves home at 07:00 to take Lucy to school at 30 km/h. He arrives at 07:20 and immediately returns along the same route. Rain reduces his speed to two thirds of the original speed. When does he arrive home?
  1. 07:40
  2. 07:45
  3. 07:50
  4. 07:55
  5. 08:00

Question 3

Continue the pattern. How many purple right-pointing arrows, of the target kind shown, occur in the seventh group?

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1st–4th group = Nhóm thứ 1–4.
  1. 36
  2. 30
  3. 24
  4. 42
  5. 18

Question 4

The source states: “The sum of three consecutive numbers is 111.” Fill the cell containing “?”.

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Intended reading made explicit: the numbers in every three adjacent cells of this row have sum 111; “consecutive” refers to cell positions, not consecutive integers.
  1. 53
  2. 27
  3. 111
  4. 31
  5. 20

Question 5

Find the value of the triangle. The circle is the greatest two-digit number divisible by 6. Perform the operations successively as shown.

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  1. 60
  2. 61
  3. 63
  4. 65
  5. 67

Question 6

Alex folds a square sheet in half twice and makes the two cuts shown through every layer. How many separate pieces are obtained after unfolding?

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  1. 4
  2. 3
  3. 12
  4. 10
  5. 5

Question 7

Different letters represent different digits. Find A + G + E + S.

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  1. 21
  2. 22
  3. 23
  4. 24
  5. 25

Question 8

A 4-by-4 grid has small-square side length 5 cm. Find the shaded area.

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  1. 40 cm²
  2. 210 cm²
  3. 180 cm²
  4. 150 cm²
  5. 200 cm²

Question 9

Jamie has three times as many shirts as pants. Kellie has twice as many pants as shirts. Together they have 17 clothing items. How many shirts do they have altogether?
  1. 9
  2. 8
  3. 7
  4. 6
  5. 5

Question 10

The pie chart shows a clothing store’s sales in four weeks. Week 1 has the greatest sales, 1200 dollars. Week 2’s sales equal the sum of weeks 3 and 4. Find week 3’s sales, which are not the lowest.

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Clothing Sales = Doanh thu quần áo.
  1. 900 dollars
  2. 1000 dollars
  3. 800 dollars
  4. 600 dollars
  5. 300 dollars

Question 11

A, B, C, D and E sit on a bench. A sits immediately to B’s right. E is at the left end. C sits next to D but not next to A, E or B. Where is D?
  1. Between C and A
  2. Between C and B
  3. Between A and E
  4. Between E and C
  5. Between A and E

Question 12

Nine identical rectangular wooden blocks form the cube shown, whose surface area is 486 cm². Find the surface area of one block.

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  1. 81 cm²
  2. 54 cm²
  3. 126 cm²
  4. 163 cm²
  5. None of the above

Question 13

Shapes P and Q contain two and three identical rectangles respectively. Their perimeters are 48 cm and 68 cm. Find one small rectangle’s perimeter.

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  1. 24 cm
  2. 28 cm
  3. 14 cm
  4. 26 cm
  5. 30 cm

Question 14

A box has 3 red, 5 green, 4 blue, 6 yellow and 1 white ball. Suzy draws without looking and without replacement. What is the minimum number that guarantees she has balls of at least three different colours?
  1. 11
  2. 12
  3. 4
  4. 15
  5. 16

Question 15

The balanced mobile contains five identical Candy boxes, one Cookie box and a 250-g weight. Find the Cookie box’s mass. Treat the beams and strings as weightless, with equal arms as shown.

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Candy = Kẹo; Cookie = Bánh quy.
  1. 200 g
  2. 100 g
  3. 300 g
  4. 50 g
  5. None of the above

Question 16

A line contains 2022 people. Each is either a truth-teller, who always tells the truth, or a liar, who always lies. Every person says: “There are more liars in front of me than truth-tellers behind me.” How many truth-tellers are in the line?