FMO 2026 - Grade 8 - National - Paper 03

Which figure should replace the question mark?

Jane and Peter are standing on two banks of a river as the figure below. Peter is 11 m to the left of the bridge and Jane is 4 m to the right of the bridge. Given that the bridge is 8 m long, what is the shortest distance between Jane and Peter?





Editorial model: use straight parallel banks and a bridge perpendicular to them. The requested shortest distance is the direct straight segment, without a requirement to travel via the bridge.

In order to make an advertising campaign for the newly released movie named "Elemental", Disney studio decides to reduce the price of characters’ dolls as below. Sofia is a big fan of this movie. How much does she need to pay to buy all 4 characters?

Usher wants to draw triangles whose two side lengths are 35 and 14. The length of the third side is a prime number. How many different triangles can he draw?

Given two right-angled triangles ABC and DEF. Line ED intersects line AB at M. Given that ∠BAC = 30° and ∠EMA = 50°, find the measure of ∠EDF.

Given 2 positive numbers X and Y whose sum is 30. The average of 12, X and Y is equal to the average of Y and 16. Find the value of X.

Given a function g(x) = 5x² + ax + 2a. If g(−1) = 2, calculate g(1).

The points A(3, 4), B(5, 3) and C(1, 1) are three vertices of parallelogram ABCD. What is the coordinates of D?

Riley writes a sequence of 20 numbers with a pattern. Some of the first numbers are given as below. Find the last number of the given sequence.

There are two printers A and B. Printer A needs to be checked up every 18 days and printer B needs to be checked up every 15 days. Today is Monday and both printers are being examined. Which day of the week was the last time that both printers got checked on the same day?

Troy stacks 14 cubes of side length 2 cm on top of each other to create a tower as below. Find the surface area of the tower.





Editorial surface convention: include the underside as part of the total surface area.

Given that the fraction below is in lowest term, find the difference of B and A.





Editorial convention: A and B are positive integers, and the digit 4 repeats indefinitely.

Fred has a square piece of paper. He folds it twice along the dashed lines and cuts along the red lines. How many pieces will he get after cutting?

At the start of the week, a bookshop had science and math books in the ratio 2 : 5. By the end of the week, 20% of each type of books were sold and there were 2240 books left in total. How many science books were there in the beginning?

There are 120 soldiers standing in a straight line and they are numbered from 1 to 120. The officer commands all soldiers with numbers divisible by 4 or 6 to leave the line. How many people are in the line finally?

What is the result of the last operation?





Editorial pattern convention: infer the simple arithmetic-sequence rule illustrated by all three completed examples.

Choose 3 digits without repetition from 0 to 9 to form 3-digit numbers. How many even numbers greater than 666 are there?

An architect draws a room with square corners at A, B, C, D, E, and F. The total area of the room is 280 m² and AF = 10 m, CD = 20 m, EF = ED. He wants to build a wall from F to M creating two rooms of equal area. Find the distance between B and M.





Source wording clarification: “square corners” is interpreted as perpendicular boundary segments. In the drawn L-shaped room, F is a concave corner with interior angle 270°, rather than an interior right angle.

Numbers are drawn from 2023 integers ranging from 1000 to 3022. At least how many numbers should be drawn at random to ensure that there are two numbers whose difference is 25?

A rectangle has a length of 48 cm and a width of 24 cm. It is cut into 2 big identical squares, 2 identical rectangles and a small square. Find the area of the small square.