FMO 2023 - Grade 5 - International - Paper 03

In a class, the average mark of 24 boys is 60 and the average mark of 16 girls is 80. Find the average mark of the whole class.

Based on the pattern below, find the missing figure.

How many two-digit numbers are divisible by 6?

Cubes of side length 1 cm are stacked in the pattern shown. Find the volume of Figure 15.

The graph records the mathematics scores of class 5A. Students with scores of 60 or more pass; each student scoring 80 or more receives a pen. Seven students fail. How many pens should the teacher prepare?

Given 3 ⊕ 4 = 4 + 5 + 6 and 4 ⊕ 8 = 8 + 9 + 10 + 11, find 5 ⊕ 9.

Britney paints the letters W, I and N on the square grid. Each small square has side length 1 cm. Find the total painted area.

Charles and his father differ in age by 24 years. Two years from now, his father will be five times Charles’s age. How old is Charles now?

A car traveling at 54 km/h follows a motorcycle traveling at 36 km/h in the same direction. At 09:40, when both start, the car is 3 km behind. When does it catch the motorcycle?

Sarah folds a square sheet in half twice and cuts along the red lines shown. How many pieces does she obtain?

Jennie stacks identical paper cups. A stack of 9 cups is 44 cm high, and a stack of 3 cups is 20 cm high. How high is a stack of 7 cups?

Six students stand in the order shown. The student at the front answers one question, then moves to the back. Ashley answers first. When the teacher asks the 58th question, who is at the back of the line?

Mr. Green has rectangular land of area 600 m². Following the design below, he builds a square farmhouse of area 144 m² and two identical ponds of area 81 m² each. The rest is his garden. Find the garden’s perimeter.

Grading clarification: the supplied worked solution treats the two depicted ponds as squares. This package uses that square-pond interpretation. The word “identical” alone, without the shape information, would not determine the perimeter uniquely.

Amy stacks 14 identical cubes of side length 1 cm as shown and paints all surfaces green except the bottom. Find the total painted area.

Each different letter in the addition represents a different digit from 1 to 8. Find the minimum value of E.

Grandmother puts 737 candies into green and pink jars. Each green jar contains 33 candies and each pink jar 22. There are 11 more pink jars than green jars. How many green jars are there?

Remy’s house drawing has seven parts A, B, C, D, E, F and G. Each part is painted red, green, blue or yellow, and touching parts must have different colors. How many different colorings are possible?

Solve the picture equations to find the value of a pink octopus.

Eggs are sold in cartons of 12 for 4.8 dollars and cartons of 10 for 4.5 dollars, as shown. A store needs exactly 400 eggs. What is the least amount it must pay?

Mathilda joins two identical rectangles in each of the two ways shown. The perimeters of the two resulting figures sum to 408 cm. Find the perimeter of each small rectangle.