Question bank PIMSO Maths

What is the value of 19 x 69 x 3 + 57 x 31?

Subtract the product of 69 x 69 from the product of 169 x 169. What is the result?

What is the value of B in the number sentence below? B x 49 + B x 69 - B x 18 = 16900

What is the sum of the two next numbers in the series? 5, 8, 14, 23, ___

What is the sum of the number series 5 + 8 + 11 + … + 197 + 200?

Cards A, B, C, and D have numbers 80, 81, 89, and 169 on it. Card A contains the number equivalent to 3 x 3 x 3 x 3. Card B contains a prime number. Card D contains an even number. What is the product of the numbers on Card B and C?

If B is greater than A, what is B - A in AB x BA = 1207?

When a 3-digit number is divided by 17 and 27, the remainder is 17. What is the greatest possible value of this number?

Original choices: A. 459; B. 476; C. 935; D. 952.

Editorial note: Explain whether the printed information determines a valid unique answer. This item is not automatically graded.

The biggest number that can divide two numbers A and B is 19. The smallest number that can be divided by both A and B is 106. What is the value of B if A is 53?

Original choices: A. 76; B. 57; C. 38; D. 19.

Editorial note: Explain whether the printed information determines a valid unique answer. This item is not automatically graded.

Natural numbers are arranged in a wave pattern as shown on the right. What is the last number that will appear on the 30th row?



Editorial convention: Read “last” as the rightmost entry of the row.

Look at the number sentence below.



Find the value of the durian shown.

Editorial convention: Fruit values are positive.

Lika divides each two consecutive numbers by 13 and gets remainders of 2 and 3, respectively. What is the bigger of these two numbers if they are to be the greatest two-digit numbers that satisfy this condition?

A rectangle has an area of 1000 square centimeters. What is the maximum number of coins with radius 5 cm that can fit in the rectangle?

Original choices: A. 100; B. 50; C. 10; D. 5.

Editorial note: Explain whether the printed information determines a valid unique answer. This item is not automatically graded.

In the number sequence below, find the sum between the 101st and 100th term. 0, 1, 2, 2, 4, 3, 6, 4, 8, 5, 10, 6, . . .

Beam’s grandfather is 65 years old. If he is 9 years old now, in how many years later will his grandfather’s age be 5 times his age?

How many acute angles can you see on the given structure?

Asato is practicing for his billiards championship. The balls numbered 1, 2, 6, 7, 8, and 9 are still on the billiard table. He now wants to pocket the balls whose numbers have even number of factors. If he does so, what is the product of those numbers?

The area of the smallest square in the figure below is 4 cm 2. What is the perimeter of the entire figure that is composed of 4 squares?

How many triangles are there in the figure?

A pyramid has 6 vertices. What is the shape of its base and how many faces does the pyramid have?