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- 12 points on a rectangle are shown below. How many triangles can be formed by connecting any 3 vertices?
- Which of the following expressions has the largest value? $$2^{777}, 3^{444}, 5^{333}$$
- Find the last 2 digits of $3^{333}$.
- A new operation is defined as: $$π β π = π^π + π^π$$ Find the value of π if $$π^π + π^π = 368$$ where π > π, and π, π are positive integers.
- Find the 2024th digit after the decimal point when $\frac{1}{13}$ is written in decimal form.
- The figure shows a triangle π΄π΅πΆ. π΄π΅ = π΅π· = π΄πΆ, β πΆπ΄π· = 30Β°. Find the value of π₯.
- The figure shows 2 semi-circles. The length of chord π΄π΅ is 24 ππ and π΄π΅ is parallel to πΆπ·. Find the area of the shaded region to the nearest whole number in $\text{cm}^2$. Take $\pi=\frac{22}{7}$.
- The following is a sequence of numbers: $$2, 2, 4, 6, 0, 6, 6, 2, 8, 0, β¦$$ where the first 2 numbers are 2, and the subsequent numbers are obtained by taking the ones digit of the sum of the two previous numbers. Find the 2024th number in the sequence.
- Numbers are filled in the following 3 Γ 3 array such that the sum of the numbers in each column, row and diagonal is the same. Two numbers have been filled in. Find the number in the top right corner marked with π.
- Each side of the small quadrilateral π΄π΅πΆπ· is extended to twice its original length. By connecting vertices, another quadrilateral ππππ is obtained. Thus, π΄π = 2π΄π΅, π΅π = 2π΅πΆ, β¦ and so on. If the area of ππππ is 350 $\text{cm}^2$, find the area of π΄π΅πΆπ· in $\text{cm}^2$.
- A 2024-digit number is written as shown below. Find the remainder when it is divided by 9. $$1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 β¦$$
- The cost of a tennis racket increased by 10% this year. If the selling price remained the same, the profit would have dropped by 30% this year. However, the number of rackets sold increased by 50%. What is the percentage increase in the total profit from the sale of rackets this year?
- Let $\frac{4}{9}=\frac{1}{A}+\frac{1}{B}+\frac{1}{C}+\frac{1}{D}$, where $A,B,C,D$ are distinct factors of 36 in ascending order. Find $C$.
- Minh was walking from Town π΄ to Town π΅, at the same time Chatdanai was cycling from Town π΅ to Town π΄. After they met each other along the way, Minh took 4 times longer to reach Town π΅. Given that Minhβs walking speed was 80 m/min, find Chatdanaiβs cycling speed.
- The queue of fans waiting to enter a concert hall is building up at a constant rate of π₯ people every minute. Each entrance gate can admit 40 people per minute. At the point the gates opened, the queue was 800 people long. Given that the queue cleared 20 minutes after 4 entrance gates were open, find the value of π₯.
Posted : 20/05/2026 4:03 am
