FMO 2022 - Grade 5 - International - Paper 06

Jake averages 3720 walking steps per day in September and 3520 per day in October. How many more steps does he take in September than in October?

How many three-digit positive integers are divisible by 4?

A car travels at 48 km/h and a bicycle at 12 km/h toward each other. Both start at 7:20 am and meet at 9:50 am. What was the distance between their starting points?

Class 5A visits the library. Every 2 students may borrow one mathematics book, every 3 students one English book, and every 4 students one science book. They can borrow 52 books in total. What is the least possible number of students?

Aurora paints the letters F, M and O on the square grid shown. The perimeter of F is 72 cm. Find the total painted area.

Both 343 and 149 have digit product 36. How many three-digit numbers have the product of all their digits equal to 36?

Each letter in the addition represents a distinct digit. Find the largest possible value of V.

The first figure has area 36 cm². Following the pattern, find the perimeter of Figure 100.

The FMO store sells mangoes, strawberries, mangosteens, apples and peaches. The table shows the price per fruit and quantity sold in one day. Which type brings in the greatest total sales revenue?

Seven books are stacked from top to bottom in the order blue, yellow, purple, pink, brown, green, red. On each turn, the top two books are moved to the bottom without reversing their order. What color is on top after 100 turns?

Leo folds a square sheet in half twice, then cuts along the two red lines shown. How many pieces does he obtain?

Given 3 ⊕ 4 = 4 + 6 + 8 and 4 ⊕ 8 = 8 + 10 + 12 + 14, find 30 ⊕ 40.

A store sells dresses for 24 dollars each and T-shirts for 15 dollars each. Total sales are 2634 dollars, and 22 more dresses than T-shirts are sold. How many dresses are sold?

Andrea combines eight identical right triangles and a small square of perimeter 8 cm to make the figure. The square whose boundary surrounds the shaded triangles has perimeter 40 cm. Find the perimeter of the largest square.

Solve the picture equations to find the value of one hat.

Candace stacks 30 identical cubes of side 2 cm as shown. She paints all exposed surfaces yellow, except the bottom. Find the total painted area.

A three-digit number is called special if its three digits are different and it is divisible by 2. How many special numbers are there?

Bees build a new ring of cells around their hive each day, following the figures. How many cells are in the hive on Day 20?

Taylor arranges three identical rectangles to form a large rectangle of perimeter 52 cm. Selena rearranges them as shown, increasing the perimeter by 40 cm. Find the area of Taylor’s figure.

A box contains 2022 balls labeled with consecutive integers from 11 to 2032. At least how many balls must be drawn to guarantee two distinct balls whose labels sum to 3000?