PIMSO 2021 - Mathematics - Grade 4 - National Round

What is the value of $650\times56+560\times35$?

Subtract the product of $59\times59$ from the product of $159\times159$. What is the result?

What is the value of $2021\times20202021-2020\times20212020$?

What is the number next to 27?

7, 11, 19, 27, . . .

Consider this phrase:

WOW BORACAY PHILIPPINES MABUHAY

Every second, the first letter of each word is moved to the end of the word. This continues until the statement reads the same as the beginning. In how many minutes will the original statement appear back again?

A number, when divided by 18 gives a remainder of 11 and when divided by 23 gives a reminder of 16. What is the smallest possible number?

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

A number N is between $2^5$ and $3^4$. How many possible values of N are there that has even number of factors?

How many counting numbers between 20 to 300 are not divisible by 5 or 7?

What is the unit’s digit of the sum of $23^5+24^6+25^7+26^8+27^9$?

Amy, Bel and Cath took up different courses in the university, namely, nursing, medical technology and physical therapy. During the medical examination, they measure their height in the university clinic as part of the requirements.
Bel is shorter than the medical technology student.
Cath and the nursing student are not on the same schedule of medical examination.
The nursing student is taller than Amy.
Who is the tallest among them?

Study the number sentence below.

What is the sum of the digits in the number $\overline{PIMSO}$?

Observe the number pattern below. What is the value of M?

2, 5, 14, 41, 122, 365, M, . . .

Today, Bert is celebrating his 20th birthday. His grandfather is 76 years old. How many years ago was his grandfather’s age 5 times his age?

In the figure, if angle z is two times the measure of angle y, what is the measure of angle x?

A prism has 10 vertices. How many faces does this prism have?

Observe the pattern below. The side of each square is 1 cm. How many squares of side 1 cm are there in the white section of the 10th figure?

If the arrow below will be reflected across the line and then rotated 180 degrees counter clockwise, what does the figure look like after the rotation?

The coins were arranged in a diamond-shaped region as shown below such that there are 20 coins in the middle. How many coins can fit the diamond?