FMO 2026 - Grade 7 - International - Paper 09

The figure below shows a swimming pool surrounded by a footpath of width 2 m. It costs 3 dollars to tile 1 m² of the footpath. How much will it cost to tile the entire footpath?

A company records the amount of two types of chocolate sold each month, in pounds. In which month was the total amount of chocolate sold greatest?

Wheat flour is sold at the price shown. A worker needs 6 kg of flour to make 20 cakes. At most how many cakes can be made if he spends 100 dollars buying flour?

One morning Wendy bought a new clock and set it correctly to 10:00. For every hour, this clock runs 5 minutes faster than a normal clock. What time would it show at 18:00 on the same day?

A teacher has a paper circle. She folds it in half twice, then cuts along the dotted lines as shown. How many pieces does she get after cutting?

A rectangular piece of paper is folded at one corner so that side BC lies along side CD, as shown. Given that AEBD is a square and the area of the folded figure is 54 cm², find the perimeter of the original piece of paper.

A teacher writes the six digits shown on the board. An and Nam each choose three distinct digits to form a three-digit number, with no digit chosen by both. An’s number is divisible by 18 but not by 20. Nam’s number is divisible by 20 but not by 18. Find Nam’s number.

Because of the COVID-19 situation, passengers on a bus may sit only in six assigned seats. When the bus stops at a station, four passengers board. In how many ways can the four people be seated in those six seats?

A date written dd/mm/yy is called a “special date” if the product of the first two numbers equals the last. For example, 2 May 2010 is special because 02/05/10 gives 2 × 5 = 10. Anna was born on 6 February 2012, another special date because 6 × 2 = 12. How many days after her birthday is the next special date?

Andrea uses matchsticks to build houses. A one-room house needs 6 matchsticks and a two-room house needs 11. Continuing the pattern, how many matchsticks are needed for a 50-room house?

Class 6A’s average mathematics test score is 78; class 6B’s average on the same test is 92. The combined average is 86. Class 6B has 15 more students than class 6A. How many students are in class 6A?

Fred stacks 40 identical cubes to form the figure shown, whose volume is 1080 cm³. Find the total surface area of the figure.

Each day a worker lays 10 fewer bricks than on the preceding day. After five days he has laid 225 bricks. He spends exactly one week building the whole wall. How many bricks does the wall contain?

A man cycles to his friend’s house, then to the park, then back home. The graph shows his distance from home. How far is the park from his house if his average speed over the whole trip is 10 km/h?





Editorial convention: the outward stages follow one route away from home and the return retraces it, so each change in graph distance is the distance travelled. The whole trip includes the stops shown.

A turtle, a mouse and a rabbit run a relay race, each covering the same distance. The mouse runs twice as fast as the turtle; the rabbit runs one and a half times as fast as the mouse. If the rabbit ran the whole race alone, it would take 10 minutes less. How long do the three animals take to finish the relay?

In the magic square shown, every cell contains a positive integer, and the products in every row, column and diagonal are equal. Some entries are already given. How many possible values of A are there?