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Mathematics Past Questions and Answers

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Mathematics Questions

Question 21:

If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

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A \(\frac{2}{3}\)
B \(\frac{4}{5}\)
C \(\frac{2}{5}\)
D \(\frac{1}{2}\)

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Question 22:

Find the length of the chord |AB| in the diagram shown above.

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A 4.2 cm
B 4.3 cm
C 3.2 cm
D 3.4 cm

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Question 23:

In how many ways can the word MATHEMATICIAN be arranged?

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A 6794800 ways
B 2664910 ways
C 6227020800 ways
D 129729600 ways

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Question 24:

Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)

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A \(\begin{vmatrix} -4 & 2 & 1\\ 6 & 0 & 5 \\ 0 & 6 & 2 \end{vmatrix}\)
B \(\begin{vmatrix} -6 & 0 & 13\\ 0 & -3 & 18 \\ 14 & 18 & 9 \end{vmatrix}\)
C \(\begin{vmatrix} 5 & 2 & 6 \\ 0 & 1 & 1\\ 3 & 4 & -7 \end{vmatrix}\)
D \(\begin{vmatrix} -4 & 0 & 8 \\ 0 & -2 & -16 \\ 10 & 12 & 6 \end{vmatrix}\)

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Question 25:

From the cyclic quadrilateral MNOP above, find the value of x.

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A 16°
B 25°
C 42°
D 39°

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