Problems And Solutions SEAMO PAPER B 2021

21. In Mathematics,

\(1^2 = 1 × 1 = 1\)
\(2^2 = 2 × 2 = 4 \)
\(3^2 = 3 × 3 = 9 \)
…
…

It is also observed that

\(2^2 = 1^2 + 3 \)
\(3^2 = 2^2 + 5 \)
\(4^2 = 3^2 + 7 \)
\(5^2 = 4^2 + 9 \)
…
…
\(21^2 = 𝑎^2 + 𝑏\)

Find the value of \((𝑎 + 𝑏)\).

22. The figure shows a number pattern within an array of hexagons. In the
middle, there is only one dot. There are 6 dots on the 1st hexagon. There are 12 and 18 dots on the 2nd and 3rd hexagons, respectively.
How many dots are there in the 49th hexagon?

23. There are 1, 4 and 10 cubes in Figures 1, 2 and 3, respectively.

How many cubes are there altogether in Figures 1 to 5?

24. Mdm Yee has 10 apples to give to her 3 children. Each child must get at
least one apple. How many ways are there to do so?

25. Megan was walking along a straight road. She met an oncoming car and
she asked the driver, “Did you overtake a cyclist just now?”

“Yes, 10 minutes ago,” the driver replied.

After walking for another 10 minutes, Megan met the cyclist.

Given that the cyclist’s speed was 4 times Megan’s walking speed, how many times of Megan’s speed was the driver’s speed?

Baca juga

• SEAMO PAPER B 2020
• SEAMO PAPER B 2019