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PIMSO 2023 - Mathematics - Grade 4 - National Round

Question 1

What is the largest three digit number that is divisible by 13?

Question 2

Max has twenty five 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?

Question 3

Evaluate: 1 + 2 + 3 + … + 58 + 59 + 60

Question 4

What is the remainder when 1000 is divided by 7?

Question 5

What is the smallest prime number larger than 100?

Question 6

What is the smallest value of x so that 123x56y is divisible by 15? Here, y is also a single digit number, not necessarily equal to x.

Question 8

How much time will two men take to complete a task if six men can complete the same task in 12 hours?

Question 10

Here are five times you would find on a standard clock. If the times were formed by an hour hand and a minute hand, which two of these times would form an obtuse angle? 1:05 2:00 3:10 6:20 8:00 11:30 (Note: There are 2 answers)

Question 11

Below are seven 1-inch cubes that are glued together. How many total faces are glued together?

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Question 12

What’s next in the series? 1, 3, 6, 11, 18, 29, ___

Question 15

What is the greatest 4-digit number that is divisible by 5?

Question 16

Among the following, which one is the least: 3/4, 0.8, 7/10, 0.9?

Question 17

If it takes 4 hours to paint a wall using 3 cans of paint, how many cans of paint are needed to paint 9 walls?

Question 18

Solve the following expression: (5 + 3) * 2 - 7.

Question 19

How many 1x1, 2x2, 3x3, 4x4, 5x5, and 6x6 squares in total are there in a 6x6 square grid? (Answer: 91)

Question illustration

Question 20

A rectangular photo has a rectangular frame that is 2 cm thick. If the photo has dimensions 12 cm by 8 cm, what is the area of the rectangular frame?