PIMSO 2023 - Mathematics - Grade 3 - National Round

What is the smallest three-digit number that is divisible by 7?

Max has ten gummy bears. He has three friends, Jack, Jill, and Jane. What is the remainder/excess if he were to split the gummy bears evenly among himself and his friends?

Evaluate: $1+2+3+\ldots+28+29+40$

What is the remainder when 100 is divided by 7?

What is the largest prime number less than 100?

What is the largest value of $x$ so that the seven-digit number $123x56x$ is divisible by 3?

Emma has 8 candies, but she wants to share them equally with her 2 friends. How many candies will each friend get, and how many candies will be left with Emma?

If you are on page 68 of a book and want to go to page 91, how many pages do you need to turn?

If 2 men can build a birdhouse in 3 hours, how many birdhouses can 6 men build in 6 hours?

If three cubes were glued together as in the illustration below, how many faces would be visible if you picked this stack up and looked at it?

What is the greatest number that can be made with the digits 3, 5, 7, and 9, and no digit is repeated?

What is the next number in the series? $3,6,12,24,48,\ldots$

What is the next number in the sequence $1,4,9,16,25,36$?

What is the greatest number that can be formed using the digits 3, 1, 2, and 5?

What is the product of 25 and 3?

What is the remainder when 18 is divided by 5?

Calculate the value of 4 multiplied by 6, divided by 2.

What is the product of $2/3$ and $5/6$?

How many $1\times1$, $2\times2$, and $3\times3$ squares in total are there in a $3\times3$ square grid?

A rectangular photo has a rectangular frame that is 2 cm thick. If the photo has dimensions 10 cm by 6 cm, what is the area of the rectangular frame?