PIMSO 2024 - Mathematics - Primary 5 - National Round

What is the absolute difference between the largest 5-digit number and the smallest 6-digit number?

If 5x + 3 = 28, what is the value of x?

How many numbers less than 100 are divisible by both 3 and 4?

Editorial note: Count positive integers.

If a number N leaves a remainder of 3 when divided by 7 and a remainder of 5 when divided by 9, what is the smallest possible value of N?

Editorial note: Take N to be a positive integer.

How many factors does 360 have?

Editorial note: Count positive factors.

On which day of the week will it be 1000 days from a Tuesday?

The sum of three consecutive even integers is 162. What is the largest of these integers?

The mean of 5 numbers is 18. If the largest number is removed, the mean of the remaining numbers is 16. What is the value of the largest number?

Pipe A can fill a tank in 3 hours, Pipe B can fill it in 6 hours, and Pipe C can empty it in 4 hours. If all pipes are open, how long will it take to fill the tank?

Editorial note: Assume an initially empty tank and constant flow rates. Enter time in hours.

A floor is to be covered with hexagonal tiles. Each tile has a side length of 10 cm. If the floor is a rectangle measuring 3 m by 2 m, approximately how many tiles are needed?

Editorial note: The source omits tile regularity and cutting assumptions. Explain any assumptions used; this item is manually reviewed.

A rectangle with whole number side lengths has an area of 156 square centimeters. What is the smallest possible perimeter?

Editorial note: Enter the perimeter in centimetres.

In a class of 10 students, the mean score on a math test is 75. After two students with the same score leave the classroom, the mean score of the remaining students rises to 78. Calculate the score of the two students who left.

Editorial note: Enter the score of each departing student.

If x + 3y = 21 and x - y = 3, find the value of x.

Simplify: $(\frac{2}{3}-\frac{1}{4})\div(\frac{5}{6}+\frac{1}{3})$

What is 2.5% of 80 as a decimal?

If 60% of a number is 45, what is 80% of the same number?

If 3 kg of apples cost \$5, how many kg can you buy for \$20?

Editorial note: Enter the mass in kilograms.

Evaluate: $3+4\times(5-2)^2\div3-1$

How many ways can the librarian arrange these books on a shelf?

A rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm. What is its volume in cubic centimeters?