Mathematics Past Questions And Answers
A circle has a radius of 13 cm with a chord 12 cm away from the centre of the circle. Calculate the length of the chord.
- A. 16 cm
- B. 8 cm
- C. 5 cm
- D. 10 cm
\(\begin{array}{c|c}
Scores & 0 - 4 & 5 - 9 & 10 - 14\\
\hline Frequency & 2 & 1 & 2\end{array}\)
The table shows the distribution of the scores of some students in a test. Calculate the mean scores.
- A. 5.6
- B. 6.2
- C. 6.6
- D. 7.0
If \(s = 3i - j\) and \(t = 2i + 3j\), find \((t - 3s).(t + 3s)\).
- A. -77
- B. -71
- C. -53
- D. -41
Use the graph of y = 3x2 + x - 7 above to answer the question
Find the roots of the equation y=3x2 + x - 7
- A. 1.0 And -1.2
- B. 1.1and-1.3
- C. 1.4and-1.7
- D. 2.0 and -1.9
\(\begin{array}{c|c} \text{Class Interval} & 1 - 5 & 6 - 10 & 11 - 15 & 16 - 20 & 21 - 25 \\ \hline Frequency & 6 & 15 & 20 & 7 & 2\end{array}\)
Estimate the median of the frequency distribution above
- A. 10\(\frac{1}{2}\)
- B. 11\(\frac{1}{2}\)
- C. 12
- D. 13
Find the 9th term of the arithmetic progression 18, 12, 6, 0, -6 .........
- A. -54
- B. -30
- C. 30
- D. 42
A house bought for N100,000 was later auctioned for N80,000. Find the loss percent.
- A. 20%
- B. 30%
- C. 40%
- D. 50%
If the determinant of the matrix \(\begin{pmatrix} 2 & x \\ 3 & 5 \end{pmatrix} = 13\), find the value of x.
- A. -2
- B. -1
- C. 1
- D. 2
In the figure shown, PQS is a straight line. What is the value of ∠ PRQ?
- A. 128°
- B. 108°
- C. 98°
- D. 78°
A store keeper checked his stock of five commodities and arrived at the following statics
\(\begin{array}{c|c} Comoditiy & Quantity\\ \hline F & 125\\ G & 113\\ H & 108\\ K & 216 \\ M & 68\end{array}\)
What angle will commodity H represent on a pie chart?
- A. 216o
- B. 108o
- C. 68o
- D. 62o