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SEAMO X 2024 - Grade 3 & 4

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  1. Find the value of π‘š below. $$(π‘š Γ· 3) + 8 Γ— 5 = 120$$
  2. Find the missing number. $$2, 2, 4, 6, 10, 16, 26, 42, (\text{ })$$
  3. How many quadrilaterals, or 4-sided polygons are there in the figure below?
    [Hint: A rectangle is a quadrilateral.]
  4. 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?
  5. How many numbers greater than 4000 can be formed using the number cards below?
  6. 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]
  7. In the figure below, find the value of π‘₯.
  8. $(2^{33} + π‘˜)$ is divisible by 31. Find the smallest possible value of π‘˜.
  9. 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?
  10. There is an array of whole numbers from 1 to 160. $$1, 2, 3, 4,… , 158, 159,160$$ In the first operation, the numbers at the odd positions are removed. $$2, 4, 6, 8,… , 158, 160$$ In the 2nd operation, again the numbers at the odd positions are removed. Continuing in this manner, what is the last number left behind?
  11. 𝐴𝐡𝐢𝐷 is a square, points 𝐸, 𝐹 are the midpoints of sides 𝐴𝐷 and 𝐴𝐡 respectively. Find the area of the square if the area of the shaded region is given as 48 $\text{cm}^2$.
  12. Evaluate $$2024 \times \left( \frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + \dots + \frac{1}{2022 \times 2023} + \frac{1}{2023 \times 2024} \right)$$
  13. The figure shows a rectangle 𝐴𝐡𝐢𝐷. 𝐷𝐸 ∢ 𝐸𝐢 = 4 ∢ 5, 𝐴𝐹 ∢ 𝐹𝐷 = 7 ∢ 5. The area of βˆ†π΅πΈπΆ is 60 $\text{cm}^2$. Find the area of βˆ†π΄πΉπ΅.
  14. 793 and 399 have the same remainder 𝑛 when divided by a prime number π‘š. Find the biggest possible value of (π‘š + 𝑛).
  15. 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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