The bar chart shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. If the pass mark was 5, what percentage of the pupils failed the test?
- A. 59.4%
- B. 50.0%
- C. 41.7%
- D. 25.0%
The pie chart shows the monthly expenditure pf a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?
- A. N1000
- B. N2000
- C. N3000
- D. N4000
A chord of a circle radius \(\sqrt{3cm}\) subtends an angle of 60° on the circumference of he circle. Find the length of the chord
- A. \(\frac{\sqrt{3}}{2}\)
- B. \(\frac{3}{2}\)
- C. 3
- D. \(\sqrt{3}\)cm
In the diagram, QTR is a straight line and < PQT = 30o. find the sin of < PTR
- A. \(\frac{8}{15}\)
- B. \(\frac{2}{3}\)
- C. \(\frac{3}{4}\)
- D. \(\frac{15}{16}\)
TQ is tangent to circle XYTR, < YXT = 32o, RTQ = 40o. find < YTR
- A. 108o
- B. 121o
- C. 140o
- D. 148o
In the figure, PQST is a parallelogram and TSR is a straight line. If the area of \(\bigtriangleup\)QRS is 20cm2, find the area of the trapezium PQRT.
- A. 35cm2
- B. 65cm2
- C. 70cm2
- D. 140cm2
In diagram, PQ || ST and < PQR = 120o, < RST = 130o, find the angle marked x
- A. 50
- B. 65
- C. 70
- D. 80
In the diagram, PR is a diameter of the circle PQRS. PST and QRT are straight lines. Find QRS
- A. 20o
- B. 25o
- C. 30o
- D. 35o
The shaded area represents
- A. x \(\leq\) 0, y \(\leq\) 0, 2y + 3x \(\leq\) 6
- B. x \(\geq\) 0, y \(\geq\) 3, 3x + 2y \(\geq\) 6
- C. x \(\geq\) 2, y \(\geq\) 0, 3x + 2y \(\leq\) 6
- D. x \(\geq\) 0, y \(\geq\) 0, 3x + 2y \(\geq\) 6
In the venn diagram, the shaded region is?
- A. (P \(\cap\) Q) \(\cup\) R
- B. (P \(\cap\) Q) \(\cap\) R
- C. (P \(\cap\) Q1) \(\cap\) R
- D. (P \(\cap\) Q1) \(\cup\) R
For what value of x does 6 sin (2x – 25)o attain its maximum value in the range 0o \(\leq\) x \(\leq\) 180o
- A. 12\(\frac{1}{2}\)
- B. 32\(\frac{1}{2}\)
- C. 57\(\frac{1}{2}\)
- D. 147\(\frac{1}{2}\)
If x, y can take values from the set (1, 2, 3, 4), find the probability that the product of x and y is not greater than 6
- A. \(\frac{5}{8}\)
- B. \(\frac{5}{16}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{3}{8}\)
In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively of winning the gold in the football event. What is the probability that either team will win the gold?
- A. \(\frac{2}{15}\)
- B. \(\frac{7}{15}\)
- C. \(\frac{11}{15}\)
- D. \(\frac{13}{15}\)
A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to \(\frac{2}{5}\)
- A. 4
- B. 20
- C. 24
- D. 40
Find the positive value of x if the standard deviation of the numbers 1, x + 1, 2x + 1 is \(\sqrt6\)
- A. 1
- B. 2
- C. 3
- D. 4
Find the variance of the numbers k, k+1, k+2,
- A. \(\frac{2}{3}\)
- B. 1
- C. k + 1
- D. (k + 1)2
\(\begin{array}{c|c} \text{Average hourly earnings(N)} & 5 – 9 & 10 – 14 & 15 – 19 & 20 – 24\\ \hline \text{No. of workers} & 17 & 32 & 25 & 24\end{array}\)
Estimate the mode of the above frequency distribution
- A. 12.2
- B. 12.27
- C. 12.9
- D. 13.4
If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number
- A. 19
- B. 18
- C. 13
- D. 12
find the equation of the curve which passes through by 6x – 5
- A. 6x2 - 5x + 5
- B. 6x2 + 5x + 5
- C. 3x2 - 5x - 5
- D. 3x2 - 5x + 3
Evaluate ∫\(^{\pi}_{2}\)(sec2 x – tan2x)dx
- A. \(\frac{\pi}{2}\)
- B. \(\pi\) - 2
- C. \(\frac{\pi}{3}\)
- D. \(\pi\) + 2
Differentiate \(\frac{x}{cosx}\) with respect to x
- A. 1 + x sec x tan x
- B. 1 + sec2 x
- C. cos x + x tan x
- D. x sec x tan x + secx