Problems And Solutions SEAMO PAPER B 2021

11. The average of 5 whole numbers is 20. When one of the numbers is changed to 18, the new average is now 18. What is the original value of that number?
(A) 26
(B) 28
(C) 30
(D) 32
(E) 34

12. The fruit seller is packing oranges into some bags. If he packs 5
oranges into each bag, he has 14 oranges leftover. If he packs 7 oranges into each bag, he will need another 2 bags. How many oranges does the fruit seller have?
(A) 76
(B) 78
(C) 80
(D) 82
(E) 84

13. Find the value of

\((\frac{1}{1 × 2}+\frac{1}{2 × 3}+\frac{1}{3 × 4}+ ⋯+\frac{1}{2021 × 2022}) × 2022\)

(A) 2020
(B) 2021
(C) 2022
(D) 2023
(E) None of the above

14. Find the value of \(\overline{AB}\) in

(A) 32
(B) 38
(C) 44
(D) 54
(E) 65

15. Find ∠𝑎 + ∠𝑏 + ∠𝑐 + ∠𝑑.

(A) 180∘
(B) 270∘
(C) 360∘
(D) 450∘
(E) None of the above

16. Find the missing number

(A) 49
(B) 50
(C) 51
(D) 52
(E) 53

17. Find the remainder when

is divided by 13.
(A) 5
(B) 3
(C) 9
(D) 4
(E) 6

18. 4 triangles are formed using 9 line segments of equal lengths. If 4 beads
are to be put along each line segment at equal intervals, how many beads will there be altogether?

(A) 20
(B) 21
(C) 22
(D) 24
(E) 25

19. Javier was walking home using the path indicated by the arrows.

What was the total distance, in metres, he had covered by the time he reached home?
(A) 70
(B) 95
(C) 120
(D) 190
(E) None of the above

20. How many rectangles are there in the figure?

(A) 22
(B) 24
(C) 25
(D) 26
(E) 27