FMO 2026 - Grade 9 - Preliminary - Paper 02

Find the missing number.

How many of these figures have at least one line of symmetry?

Jacky goes 47 km west, 9 km north, then 7 km east. How far is he from his starting position?

Find the value of the expression formed by these five puzzle pieces.

What is the largest three-digit prime whose digits are all prime?

The example process has function $f(x)=\frac{x+1}{5}$.



What function describes the next process?

The chart summarizes class 9 A’s mathematics test scores. Students scoring more than 8 receive books. If 20 students receive books, how many students are in the class?

A desk calendar has the form of a right triangular prism whose end triangle is isosceles, as shown. Find the area of red cardboard needed.





Intended construction condition: the two triangular ends are open; count the three rectangular cardboard faces, excluding calendar leaves.

Define $a\#b=ab-a-3$, for example $4\#5=20-4-3=13$. Compute $(2\#0)\#(1\#4)$.

A mathematician places a mirror on level ground and sees the top of a flagpole in it. Using the measurements shown, find the flagpole’s height.

Neighbouring dots on the grid are 2 cm apart horizontally and vertically. Find the area of triangle FMO in cm².

What is the height of the table?

Identical bricks form a cube of total surface area 864 cm² as shown. Find the volume of one brick in cm³.

David records the monthly air temperature in °F, but his son covers the numerical vertical-axis labels. The first four months average 75°F. What is the average for the whole year?





Intended scale condition: the bottom horizontal line is 0°F and equal grid intervals represent equal temperature changes. The source does not leave a visible zero label.

How many three-digit numbers have middle digit equal to the sum of their first and last digits?

The four grandparents are Alex, Brielle, Chris and Dorothy. The oldest is 4 years older than the youngest, and each grandfather is 2 years older than his wife. Brielle is younger than Dorothy. What is the difference between Brielle’s age and the mean age of all four?

Two tangent circles each have radius 10 cm. They fit inside a rectangle, which is inscribed in a larger circle. Find the shaded area in cm², using π=3.14.

Following the displayed pattern, how many small squares are in Figure 15?

Jack starts a riddle game with 10 points. Each correct answer adds 5 points, each unanswered question adds 2, and each wrong answer adds 0. He finishes with 88 points. What is the least possible number of questions?

An ant goes from the southwest to the northeast corner of the 5 × 5 net. It may move only east or north along the ropes and cannot pass through the four broken intersections. How many different paths are possible?