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FMO 2026 - Grade 9 - National - Paper 08

Question 1

What is the height of the table? The two pictures use the same table, cat and turtle.

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  1. 110 cm
  2. 220 cm
  3. 60 cm
  4. 30 cm
  5. 80 cm

Question 2

Ashley joins the five puzzle pieces into one mathematical expression. What is its value?

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  1. 0
  2. 5
  3. 10
  4. 100
  5. 101

Question 3

The figure contains 16 equilateral unit triangles, each of area 4 cm². Find the area of the shaded trapezoid in cm².

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  1. 28
  2. 30
  3. 32
  4. 34
  5. 36

Question 4

Three grids contain X and O. Find the fourth grid.

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Question 5

In the figure, A, C, D are collinear, AB=BC=CD, and angle ABC=40°. Find angle ABD.

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  1. 70°
  2. 80°
  3. 75°
  4. 85°
  5. 60°

Question 6

Martha writes three two-digit integers: one cube, one prime, and one divisible by 15. The digits 3,4,5,6,7,8 are each used exactly once. Which prime does she write?
  1. 53
  2. 47
  3. 37
  4. 73
  5. 83

Question 7

Penelope folds the square three times along the dotted lines, then cuts along the red line as shown. On opening the folded strip, she obtains a letter. Which letter?

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  1. A
  2. M
  3. W
  4. H
  5. X

Question 8

In each round of a two-player game, the winner gets 2 points and the loser 1; there are no draws. Jack wins exactly 5 rounds and Jill finishes with 11 points. How many rounds are played?
  1. 5
  2. 6
  3. 7
  4. 8
  5. 9

Question 9

Webster Middle School students raise money for after-school programmes. In which month do the two grades raise the most money in total? Chart legend: blue=8th graders, red=9th graders; vertical axis is dollars raised.

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  1. June
  2. July
  3. August
  4. September
  5. October

Question 10

The sum of each row and column is shown. Find triangle−square+circle.

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  1. 13
  2. 14
  3. 15
  4. 16
  5. 17

Question 11

The graph shows a port city’s water level over one day. For how many hours is it above 40 cm? Axes: water level in cm, time in hours.

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  1. 5
  2. 5.5
  3. 9
  4. 9.5
  5. 11

Question 12

A slide is built from an inclined plane and identical cubes of side 30 cm. All top surfaces shown in white, including the ramp and horizontal stair treads, are painted. Find the painted area in m².

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  1. 19.2 m²
  2. 0.84 m²
  3. 16.8 m²
  4. 1.68 m²
  5. 1.92 m²

Question 13

Fill the nine circles with the digits 1 through 9, each once. Every side containing four circles has the same sum. What is X?

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  1. 6
  2. 7
  3. 8
  4. 9
  5. None of the above

Question 14

The pattern has 50 levels, with successive powers of 2 as shown. What is the units digit of the sum of all its numbers?

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  1. 3
  2. 5
  3. 7
  4. 9
  5. None of the above

Question 15

Two square sheets each have area 100 cm². They are arranged in the two patterns shown. The difference between the occupied areas is 60 cm². Find the difference between their outer perimeters. Overlaps count only once.

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  1. 10 cm
  2. 12 cm
  3. 14 cm
  4. 16 cm
  5. None of the above

Question 16

Greg starts with 10 points. Each correct answer doubles his score, a skipped question adds 2, and a wrong answer adds 1. He ends with 999 points. What is the least possible number of questions? The source rule labels mean Correct, No answer, Wrong.

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