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SEAMO X 2024 - Grade 3 & 4
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- Find the value of π below. $$(π Γ· 3) + 8 Γ 5 = 120$$
- Find the missing number. $$2, 2, 4, 6, 10, 16, 26, 42, (\text{ })$$
- How many quadrilaterals, or 4-sided polygons are there in the figure below?
[Hint: A rectangle is a quadrilateral.]
- The teacher has a bag of sweets. If she gives each student 8 sweets, 3 sweets will remain. If she gives each student 9 sweets, she will need another 5 sweets. How many sweets does the teacher have?
- How many numbers greater than 4000 can be formed using the number cards below?

- The figure shows a square of side length 50 cm. Inscribed inside the square is a shaded semi-circle. The other shaded region is outside the quadrants shown. Find the total shaded area. [Hint: A quadrant is one quarter of a circle]

- In the figure below, find the value of π₯.

- $(2^{33} + π)$ is divisible by 31. Find the smallest possible value of π.
- Kenneth forgot his pencil box when he left home for school. His father cycled after him to give him the pencil box. 5 minutes after getting the pencil box from his father, Kenneth reached school and his father got back home. If his father cycles 4 times as fast as Kenneth walks, how many minutes did Kenneth take to walk from home to school?
- There is an array of whole numbers from 1 to 160. $$1, 2, 3, 4,β¦ , 158, 159,160$$ In the first operation, the numbers at the odd positions are removed. $$2, 4, 6, 8,β¦ , 158, 160$$ In the 2nd operation, again the numbers at the odd positions are removed. Continuing in this manner, what is the last number left behind?
- π΄π΅πΆπ· is a square, points πΈ, πΉ are the midpoints of sides π΄π· and π΄π΅ respectively. Find the area of the square if the area of the shaded region is given as 48 $\text{cm}^2$.

- Evaluate $$2024 \times \left( \frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + \dots + \frac{1}{2022 \times 2023} + \frac{1}{2023 \times 2024} \right)$$
- The figure shows a rectangle π΄π΅πΆπ·. π·πΈ βΆ πΈπΆ = 4 βΆ 5, π΄πΉ βΆ πΉπ· = 7 βΆ 5. The area of βπ΅πΈπΆ is 60 $\text{cm}^2$. Find the area of βπ΄πΉπ΅.

- 793 and 399 have the same remainder π when divided by a prime number π. Find the biggest possible value of (π + π).
- Find the value of $$\frac{1}{\frac{1}{2022\times 2023}+\frac{1}{2023\times 2024}+\frac{1}{2024}}$$
Posted : 20/05/2026 3:37 am
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