PIMSO 2021 - Mathematics - Grade 3 - National Round

What is the value of $51×57+17×3×43$?

Subtract the product of $35×35$ from the product of $135×135$. What is the result?

What is the value of B in the number sentence below?
$B×21+B×89-B×10=1200$

What is the next number in the series?
5, 8, 14, 20, ___

What is the sum of the number series $4+7+10+13+…+181+184$?

Cards A, B, C, and D have numbers 70, 81, 89, and 121 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 in $AB×BA=1729$?

When a 3-digit number is divided by 13 and 27, the remainder is 12. What is the greatest possible value of this number?

The biggest number that can divide two numbers A and B is 17. The smallest number that can be divided by both A and B is 102. What is the value of B if A is 51?

Natural numbers are arranged in a wave pattern as shown on the right. What is the first number that will appear on the 20th row?

During the PIMSO Finals in Boracay, Adam, Bryan, Charlene, David and Eden are queuing for their Philippine Eagle stuff toy. Charlene is second in the queue. Eden is right in front of Bryan but at the back of David. Adam is neither the first nor the last child in the queue. Who is the first child in the queue?

Look at the number sentence below.



Find the value of the sun symbol.

Find the value of the digit I in the product of the multiplication sentence below.

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

Niel’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?

In the figure below, if angle x measures 50.25° and angle y is a right angle, what is the measure of angle z?

One of the interior angles of a regular polygon is 120°. How many diagonals does this polygon have? (Hint: A diagonal is a line that joins any two opposite corners of the polygon.)

The arrow in the figure below is reflected on the other side of the line and then rotated 90 degrees clockwise. What does it look like after the rotation?

How many triangles are there in the figure?

A pyramid has 6 vertices. What is the shape of its base?