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FMO 2026 - Grade 7 - International - Paper 06

Question 1

The chart shows careers of book-club members. There are 22 students. How many members are journalists?

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Novel writer, Translator, Reviewer, Journalist, Student are the five categories.
  1. 72
  2. 38
  3. 16
  4. 36
  5. 32

Question 2

Luna’s 12th birthday is a Sunday in October 2022. What day of the week is her 19th birthday?
  1. Friday
  2. Saturday
  3. Sunday
  4. Monday
  5. Tuesday

Question 3

A ribbon repeats the animal pattern shown in this fragment. The 2022nd animal counted from the ribbon’s left end is a crab. Which animal is 10th from that end?

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Question 4

How many two-digit primes have a prime difference between their digits? Use the nonnegative difference, larger digit minus smaller digit.
  1. 8
  2. 9
  3. 10
  4. 11
  5. 12

Question 5

A bag of 8 apples costs 12 dollars and a box of 5 mangoes costs 8 dollars. Only whole bags and boxes are sold. A restaurant buys exactly 34 fruits. What is the cost?
  1. 40 dollars
  2. 48 dollars
  3. 36 dollars
  4. 64 dollars
  5. 52 dollars

Question 6

In trapezoid ABCD, AD is parallel to BC. A, C, E are collinear. The marked angles are 110° at B, 65° at D and 100° between CD and CE. Find x = ∠BAC.

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  1. 30°
  2. 35°
  3. 40°
  4. 45°
  5. 25°

Question 7

A shop packs 520 black pens and 600 blue pens with the same number of pens per box and only one colour in each box. What is the least number of boxes?
  1. 14
  2. 28
  3. 16
  4. 7
  5. 8

Question 8

Equilateral triangles of side 3 cm form the chain shown. If a figure has perimeter 2022 cm, how many triangles does it contain?

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  1. 672
  2. 335
  3. 674
  4. 337
  5. 336

Question 9

The digits use the displayed calculator style. Thomas forms two-digit numbers. In a mirror, 11 stays unchanged. How many two-digit numbers have this property?

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

Question 10

Wendy has identical 7 cm by 5 cm paper rectangles. Gluing two gives a rectangle of width 5 cm and area 66 cm². Gluing ten in the same way gives what area?

Use the intended repeated-overlap construction: each new piece overlaps the previous piece by the same strip, with no triple overlaps.
  1. 310 cm²
  2. 330 cm²
  3. 314 cm²
  4. 350 cm²
  5. 306 cm²

Question 11

Kaya’s clothing counts are shown. She wears either one dress, or one T-shirt with one pair of shorts or one pair of jeans. What is the maximum number of different daily outfits?

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  1. 1400
  2. 77
  3. 26
  4. 490
  5. 105

Question 12

Two faces of a cuboid have areas 27 cm² and 32 cm². Its volume is 144 cm³. Find its total surface area.

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  1. 60 cm²
  2. 198 cm²
  3. 120 cm²
  4. 88 cm²
  5. 166 cm²

Question 13

How many of the first 2023 terms of 1, 1, 2, 3, 5, 8, 13, 21, … are odd? Use the intended rule that each term after the first two equals their two immediate predecessors’ sum.
  1. 674
  2. 1350
  3. 1349
  4. 675
  5. 1348

Question 14

Henry folds the square twice along the dashed lines and cuts through every layer along the red segments. How many separate pieces result after unfolding?

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  1. 9
  2. 16
  3. 14
  4. 10
  5. 12

Question 15

Each symbol has a different value. Each left-hand total equals the sum of the four symbols in its row. Find the missing total.

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  1. 25
  2. 24
  3. 26
  4. 22
  5. 23

Question 16

Let m, n be distinct primes and A = m²n². How many different values of A are less than 900?
  1. 5
  2. 6
  3. 8
  4. 7
  5. 4

Question 17

Micky uses 35 identical cubes in total to make the two shown figures. Painting the whole surface of Figure 1 takes 27 jars. How many jars paint the whole surface of Figure 2 at the same coverage per jar?

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Whole surface includes all exposed faces, including the underside.
  1. 40
  2. 37
  3. 33
  4. 80
  5. 39

Question 18

Oil costs 48 dollars for a 5-litre barrel, 92 for a 10-litre barrel, and 210 for a 25-litre barrel. To average exactly 9 dollars per litre, what is the least total number of whole barrels to buy?
  1. 9
  2. 8
  3. 7
  4. 6
  5. 5

Question 19

Draw distinct numbers without replacement from 1 through 2022. What is the least number drawn that guarantees two selected numbers have product 3000?
  1. 2008
  2. 1993
  3. 1991
  4. 2007
  5. 1992

Question 20

Two pairs of identical isosceles right triangles are cut from square ABCD, leaving rectangle MNPQ. Their total cut-off area is 200 m². Find MP.

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  1. 40 m
  2. 25 m
  3. 15 m
  4. 10 m
  5. 20 m