SEAMO 2026 Paper C SET 1 – Self-practice

It is given that $A:B=6:5$, $B:C=4:3$ and $C:D=5:6$. Find the value of $D$ if $A=120$.

5 is subtracted from $7n$, where $n$ is an integer. The result is then divided by 5. Finally, the quotient is added to 9. The final result is 22. Find the value of $n$.

Let $P$ and $Q$ represent two different integers, such that $P*Q=\frac{PQ}{2}$. Find $3*(6*8)$.

Which of the following numbers has/have the largest value?

$2^{415},\ 3^{249},\ 5^{166}$.

Find the number of shortest paths from Point A to Point B. Only $\rightarrow$ and $\uparrow$ movements are allowed.

There are 12 points on a circle. How many different triangles can be formed by selecting any 3 points as its vertices?

Dr Soe was driving from Yangon to Mandalay. If he drove at a speed of 90 km/h, he would arrive at 2.00 pm. If he drove at a speed of 105 km/h, he would arrive at 1.00 pm. Find the distance between the two cities in km.

There are 81 marbles in a box. Dean and Pong are to take turns removing 1, 2 or 3 marbles each time. Whoever draws the last marble will be the winner. If Dean starts the game, what should his first move be in order to win?

There are 10 matchsticks on the table. Tevbot takes 1, 2 or 3 matchsticks each time. How many ways are there for him to take all the matchsticks?

There are fifty 1-dollar, 2-dollar and 5-dollar notes. There are two more 1-dollar notes than 2-dollar notes. Given that the total value of the notes is 116 dollars, find the number of 5-dollar notes.

Find the ones digit in $3^{2020}+4^{2021}+5^{2022}$.

Find the remainder when $34\times37\times41\times43$ is divided by 13.

The figure below is made up of a square, a quadrant and a circle. The length of the square is 14 cm. Find the area of the shaded region. Take $\pi=\frac{22}{7}$.

How many triangles are there in the figure below?

The passcode to a locker is a 3-digit number. The following statements are made by three different people:

A: The number is 954.

B: The number is 358.

C: The number is 214.

Each person has exactly one correct digit. Which of the following could be the passcode?

Evaluate $12359\times12486-12489\times12356$.

A fast-food vendor sells nuggets in packets of 5 or 8 only. What is the largest number of nuggets that cannot be sold?

Evaluate

$$(46-\tfrac18)\times\tfrac18+(43-\tfrac18)\times\tfrac18+\cdots+(1-\tfrac18)\times\tfrac18.$$

Michelle and Lenny took 24 days to finish a science project together. If Michelle worked alone for 6 days, and then Lenny continued for another 4 days, only $\frac15$ of the project would be finished. How many days in total will it take Michelle to finish the project by herself?

Each Grade A durian costs 12 dollars and each Grade B durian costs 22 dollars. Mr Tan paid 126 dollars for some Grade A and Grade B durians. How many Grade A durians did he buy?