FMO 2026 - Grade 8 - International - Paper 10

Andrew starts a project at 7:50 a.m. By 10:20 he has completed two thirds. He rests 45 minutes, then resumes at the same rate. When does he finish?

Jack folds square paper in half twice and cuts along the indicated lines. How many pieces will he get?

Jane has two math lessons per week; John has one every two weeks. During the term John has 21 fewer lessons. How many weeks is the term?

Class 6 A travels to a water park. The bus goes 2 km straight, turns right for 4 km, turns left for 3 km, and finally goes 8 km forward to its destination. Find the shortest school-to-park distance.





Source clarification: the prose does not mention a final turn, while the diagram shows one after the 3 km leg. For the intended question, follow that final right turn in the diagram.

Each letter is a nonzero digit. Find F+M+O.

A street has 50 houses. One side is numbered 2,4,6,… and the other 1,3,5,… . The last even-side house is 48. What is the last odd-side house number?

ABFG is a rectangle. ∠ABC=10°, ∠BCD=21°, ∠DEF=23°, ∠EFG=16°. Find ∠CDE.

Jane uses 3 matches for one layer,9 for two layers and 18 for three layers, as shown. How many matches are needed for eight layers?

The three balances are level. Find the weight of one plant.

Candace stacks five cubes of side 4 cm as shown and paints all exposed surfaces except the bottom. Find the total unpainted area in cm².

ABCD is a square of side 30 cm. Two circles centred at B and C intersect at M as shown. Find the white area in cm², taking π=3.14.





Pictured convention made explicit: the B-centred arc passes through A and the C-centred arc through D.

Lucy and Linda receive the same 40 questions. For each question the first solver gets 4 points and the second solver 1 point. Lucy solves 20 questions, Linda 30, and their total score is 146. How many questions did both solve?

A snail may move up or right into an adjacent cell but cannot cross the red walls. How many routes lead to the leaf?

The graph shows Clover’s distance from home. She visits a grocery store, goes to the park, retreats in the rain to her grandparents’ house, then cycles to a bookstore and home. Her average speed for the whole trip is 8 km/h. How long does she stay at her grandparents’ house?





Intended model: motion is along one route without detours, horizontal graph segments are stops, and whole-trip average speed includes stops.

Andrea folds four identical numbered nets into cubes, then forms one block so that only faces with equal numbers touch. Find the largest sum of numbers on the block’s outer surface.





Pictured-shape clarification: use the 2 × 2 × 1 arrangement shown. A different connected arrangement is analysed separately in the proved extension.

How many unordered pairs of unit squares in a 3 × 6 grid have no common point? The diagram shows an example.