FMO 2026 - Grade 7 - International - Paper 05

Each student in class 6A votes for one of five candidates for class monitor. Twelve students vote for Julia. How many vote for Derek?

A special die has a number on each face. All three pairs of opposite faces have the same sum. Five numbers are 4, 5, 7, 11 and 13. Find the sixth number.

Vietnam Independence Day is on 2 September. Given that 2 September 2023 is a Saturday, what day of the week is 2 September 2033?

A store divides 360 strawberry candies and 420 orange candies into packs with an equal number of candies per pack. Each pack contains only one flavour. What is the least number of packs?

Anna writes a two-digit prime. Lucy adds 10 and also gets a two-digit prime. How many numbers could Anna have written?

The sequence repeats 1, 2, 4, 8, 16, 32, 1, 2, 4, 8, 16, 32, … . Find the sum of its 2001st and 2024th terms.

Henry folds a square sheet twice along the dashed lines and cuts along the red lines through all layers. How many separate pieces result after unfolding?

Four identical right triangles with legs 4 cm and 6 cm form the large square shown. Find its area.

Brown eggs are sold in cartons of 12 for 11.2 dollars, and white eggs in cartons of 10 for 8.6 dollars. Adrian buys exactly 42 eggs in whole cartons. How much does he pay?

Triangle ABC is isosceles with BA = BC. The apex angle is 50°, and the base angles are 2x + y and 3x − y as shown. Find x.

Amy travels from home to school along the map. How many different routes are there?





Counting convention: a route does not revisit a junction.

A train travels at one third of its usual speed and takes 30 extra minutes over the same distance. What is its usual travel time?

The calculator follows the flowchart. Its final result is 40. Find input F.





PRIME = prime number; ODD = odd; EVEN = even; Yes/No indicate the test result.

A bottle half full of water weighs 220 g. The same bottle one third full weighs 160 g. What does it weigh when one fourth full?

Amy folds this net into a cube and puts face 1 on the ground. She multiplies the numbers on all faces except the top and bottom. Find the product.

Two faces of a cuboid have areas 20 cm² and 15 cm². Its total surface area is 166 cm². Find its volume.

Each symbol has a different value. The right-hand entry gives the sum of its row. Find the missing total.

Fred answers a 20-question test. A correct answer scores 5, a wrong answer −3, and a blank 0. His total is 72. How many questions are blank?

A horse is tied by a 6 m leash to the shown corner of a rectangular stable measuring 3 m by 5 m. Find the area outside the stable that it can reach.

The digits 1, 2, 3 and 4 form twenty-four four-digit numbers using each digit once. Find the average of all twenty-four numbers.