In the diagram, < ROS = 66o and < POQ = 3x. some construction lines are shown. Calculate the value of x.
- A. 10o
- B. 11o
- C. 22o
- D. 35o
In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to \(\frac{LH}{JH}\)
- A. \(\frac{KL}{JI}\)
- B. \(\frac{HK}{JK}\)
- C. \(\frac{JI}{KL}\)
- D. \(\frac{HK}{LK}\)
In the diagram, QR//ST, /PQ/ = /PR/ and < PST = 75o. Find the value of y
- A. 105o
- B. 110o
- C. 130o
- D. 150o
The bar chart shows the marks distribution in am English test. What percentage of the students had marks ranging from 35 to 50?
- A. 55\(\frac{1}{3}\)%
- B. 60%
- C. 65%
- D. 66\(\frac{2}{3}\)%
The bar chart shows the marks distribution in am English test. If 50% is the pass mark, how many students passed the test?
- A. 100
- B. 85
- C. 80
- D. 70
In the diagram, < PSR = 220o, < SPQ = 58o and < PQR = 41o. Calculate the obtuse angle QRS.
- A. 90o
- B. 100o
- C. 121o
- D. 60o
In an athletic composition, the probability that an athlete wins a 100m race is \(\frac{1}{8}\) and the probability that he wins in high jump is \(\frac{1}{4}\). What is the probability that he wins only one of the events?
- A. \(\frac{3}{32}\)
- B. \(\frac{7}{3}\)
- C. \(\frac{5}{3}\)
- D. \(\frac{5}{16}\)
The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x
- A. x \(\leq\) 3
- B. x \(\geq\) 3
- C. x < 3
- D. x > 3
If x km/h = y m/s, then y =
- A. \(\frac{7}{18}\)x
- B. \(\frac{11}{20}\)x
- C. \(\frac{4}{15}\)x
- D. \(\frac{5}{18}\)x
If x2 + kx + \(\frac{16}{9}\) is a perfect square, find the value of k
- A. \(\frac{8}{3}\)
- B. \(\frac{7}{3}\)
- C. \(\frac{5}{3}\)
- D. \(\frac{2}{3}\)
If the sum of the roots of the equation (x – p)(2x + 1) = 0 is 1, find the value of x
- A. 1\(\frac{1}{2}\)
- B. \(\frac{1}{2}\)
- C. -\(\frac{3}{2}\)
- D. -1\(\frac{1}{2}\)
The subtraction below is in base seven. Find the missing number.
5 1 6 2seven
-2 6 4 4seven
——–
2 * 1 5
——–
- A. 2
- B. 3
- C. 4
- D. 5
What is the value of x when y = 5?
y = \(\frac{1}{2}\) x + 1
- A. 8
- B. 9
- C. 10
- D. 11
\(\begin{array}{c|c} x & 0 & 2 & 4 & 6\\ \hline y & 1 & 2 & 3 & 4\end{array}\).
The table is for the relation y = mx + c where m and c are constants. What is the equation of the line described in the tablet?
- A. y = 2x
- B. y = x + 1
- C. y = x
- D. y = \(\frac{1}{2}x + 1\)
The mean age of R men in a club is 50 years, Two men aged 55 and 63, left the club and the mean age reduced by 1 year. Find the value of R
- A. 18
- B. 20
- C. 22
- D. 28
Bola sold an article for N6,900.00 and made a profit of 15%. If he sold it for N6,600.00 he would make a
- A. profit of 13%
- B. loss of 12%
- C. loss of 10%
- D. loss of 5%
How many times, correct to the nearest whole number, will a man run round circular track of diameter 100m to cover a distance of 1000m?
- A. 3
- B. 4
- C. 5
- D. 6
The nth term of the sequence -2, 4, -8, 16…. is given by
- A. Tn = 2n
- B. Tn = (-2)n
- C. Tn = (-2n)
- D. Tn = n
If y = \(\frac{(2\sqrt{x^2 + m})}{3N}\), make x the subject of the formular
- A. \(\frac{\sqrt{9y^2 N^2 - 2m}}{3}\)
- B. \(\frac{\sqrt{9y^2 N^2 - 4m}}{2}\)
- C. \(\frac{\sqrt{9y^2 N^2 - 3m}}{2}\)
- D. \(\frac{\sqrt{9y^2 N - 3m}}{2}\)
The sum of the exterior of an n-sided convex polygon is half the sum of its interior angle. find n
- A. 6
- B. 8
- C. 9
- D. 12