FMO 2022 - Grade 5 - National - Paper 05

Which figure should replace the question mark?

According to the pattern below, which figure replaces the question mark?

Classes 5A and 5B have 60 students in total. If 2 students move from 5A to 5B, both classes have equal numbers. How many students were in 5A originally?

Calculate $\frac{2}{3}\div5+\frac{2}{5}\times3$.

Find the smallest four-digit number with four different digits that is divisible by 9.

Leo spends two thirds of an hour gardening each day. How many minutes does he spend gardening in one week?

Fred stacks identical small cubes on top of one another to make the figure. What is the least number of cubes he needs?

How many two-digit numbers have both digits smaller than 4?

The graph shows the heights of Adam, Bob, Chloe, Diego and Evan. What is their average height?

On a rectangular piece of land, two identical triangular sitting areas and a parallelogram parking lot are built as shown. What is the area of the parking lot?

A tower clock strikes once at 1:00 am, twice at 2:00 am, and so on up to twelve times at 12:00 am. It also strikes twice at every half-hour, for example 8:30 am. How many times does it strike from 4:50 am to 11:45 am in one day?

Source wording note: the English source prints “12:00 am” while its Vietnamese text says noon. This mismatch does not affect the requested morning interval.

Catherine, Richard and Maggie color the figure in that order, following the table. How many small squares are colored purple?

Jack surveys the hair colors chosen by his salon customers in one month, as shown. The total number of customers is five times the number choosing red hair. How many choose red?

Amelia writes a three-digit number. Link writes the product of its digits, and Meredith writes their sum. Link’s number is 105. What is Meredith’s number?

Kathy folds a square sheet three times, then cuts out two triangles and one circle as shown. What does the sheet look like when fully opened?

Isabelle glues 8 cubic boxes of side length 1 cm to get the letter F below. Then she paints all the surfaces of the figure except for the bottom. Find the painted area.

Grading clarification: the supplied solution interprets “the bottom” as the one square face touching the ground, and still paints the three downward-facing overhang faces. This package grades using that stated interpretation. Excluding every downward-facing face would give a different answer, explained below.

A package contains 20 strawberry, 25 mint, 28 mango and 24 grape candies. Bella takes candies without looking. What is the least number she must take to guarantee at least 5 mint and 7 grape candies?

Mr. Simpson divides his rectangular land into three equal-area parts as shown. Peter receives the square; twins Rosy and Lily receive the other two identical parts. The perimeter of the whole land is 320 m. Find its area.

To train for the 31st SEA Games, Greg starts a push-up challenge on Monday with 20 push-ups. Each next day he does 2 more than the previous day. On the final day he does 100. What weekday is the final day?

FMO’s organizers decorate a wall by writing FMO and MATH repeatedly in the order shown. When the painter stops, exactly 111 letters M have been written. At most how many letters have been written in total?