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PIMSO 2025 - Mathematics - Primary 4 - National Round

Question 1

What is the value of 590 x 69 + 690 x 41?
  1. 69000
  2. 59000
  3. 40710
  4. 6900

Question 2

Subtract the product of 59 x 59 from the product of 159 x 159. What is the result?
  1. 35721
  2. 32000
  3. 21800
  4. 27800

Question 3

What is the value of 2026 x 20252026 – 2025 x 20262025?
  1. 4676
  2. 4051
  3. 3051
  4. 3021

Question 4

How many even 4-digit numbers, consisting only of the digits 3, 0, 9, and 6 without repeating any digit, can be formed such that the number is less than 9000?
  1. 12
  2. 9
  3. 6
  4. 3

Question 5

Consider this phrase: PHILIPPINES MATH FINAL DAVAO 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?
  1. 4 minutes 40 second
  2. 3 minutes 40 second
  3. 3 minutes 30 second
  4. 2 minutes 40 second

Question 6

What is the unit’s digit of the sum of $23^5 + 24^6 + 25^7 + 26^8 + 27^9$?
  1. 6
  2. 7
  3. 8
  4. 9

Question 7

Natural numbers were arranged in a wave pattern as shown on the right. What is the first number that will appear on the 35th row?

Question illustration
  1. 108
  2. 105
  3. 103
  4. 102

Question 8

A number N is between 2 x 2 x 2 and 3 x 3 x 3. How many possible values of N are there that have even number of factors?
  1. 20
  2. 18
  3. 17
  4. 15

Question 9

How many counting numbers between 20 to 300 are not divisible by 5 or 7?
  1. 210
  2. 193
  3. 192
  4. 185

Question 10

In the figure below, if angle x measures 52.25 and angle y is a right angle, what is the measure of angle z?

Question illustration
  1. 37.75
  2. 37.25
  3. 32.75
  4. 32.25

Question 11

Study the number sentence below.

Question illustration

Find the value of the bowl shown.
  1. 6561
  2. 2187
  3. 81
  4. 18

Question 12

Teacher wrote the numbers 1 to 79 on the board, then he removed all the digits 2. How many digits remained after he removed all the digits 2?
  1. 149
  2. 141
  3. 138
  4. 131

Question 13

What is the sum of the digits in the number PIMSO?

Question illustration
  1. 27
  2. 26
  3. 25
  4. 24

Question 14

Observe the number pattern below. What is the value of M? 3, 6, 15, 42, 123, 366, M, . . .
  1. 729
  2. 972
  3. 1095
  4. 1461

Question 15

My mother is three times older than my sister. My father is 30 years older than me. I was 5 years old when my sister was born. If the present age of my sister is 15 years, then the difference between my mother’s and father’s age is ____.
  1. 8
  2. 7
  3. 6
  4. 5

Question 16

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

Question illustration
  1. 90°
  2. 40°
  3. 60°
  4. 80°

Question 17

A prism has 14 vertices. How many faces and edges does this prism have?
  1. 9 faces, 21 edges
  2. 9 faces, 14 edges
  3. 7 faces, 14 edges
  4. 8 faces, 21 edges

Question 18

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?

Question illustration
  1. 145
  2. 108
  3. 90
  4. 81

Question 19

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?

Question illustration
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Question 20

The coins were arranged in a diamond-shaped region as shown below such that there are 40 coins in the middle. How many coins can fit the diamond?

Question illustration
  1. 1640
  2. 1600
  3. 1400
  4. 1340