The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?
- A. 17.5 - 20.5
- B. 16.5 - 19.5
- C. 15.5 - 19.5
- D. 15.5 - 18.5
If the diagram is the graph of y = x\(^2\), the shaded area is
- A. 64 square units
- B. \(\frac{128}{3}\) square units
- C. 32 square units
- D. \(\frac{64}{3}\) square units
In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH
- A. 32cm
- B. 26cm
- C. 20cm
- D. 16cm
Change 71\(_{10}\) to base 8
- A. 107\(_{8}\)
- B. 106\(_{8}\)
- C. 71\(_8\)
- D. 17\(_8\)
Find the values of t for which the determinant of the matrix \(\begin{pmatrix}t-4 & 0 & 0\\ -1 & t+1 & 1\\3 & 4 & t-2\end{pmatrix}\) is zero.
- A. -4, 2, 3.
- B. 4, -2, 3
- C. -4, -2, -3
- D. 0, 2, 3
A matrix P \(\begin{pmatrix}a & b\\ c & d\end{pmatrix}\) is such that P\(^T\) = – P, where P\(^T\) is the transpose of P. If b = 1, then P is
- A. \(\begin{pmatrix}0 & 1\\ -1 & 0\end{pmatrix}\)
- B. \(\begin{pmatrix}0 & 1\\ 1 & 0\end{pmatrix}\)
- C. \(\begin{pmatrix}0 & 1\\ -1 & 1\end{pmatrix}\)
- D. \(\begin{pmatrix}1 & -1\\ -1 & 0\end{pmatrix}\)
The solution of the simultaneous inequalities \(2x – 2 \leq\) y and \( 2y – 2 \leq\) x is represented by
Use the diagrams above as the OPTIONS
- A. A
- B. B
- C. C
- D. D
A ship sails a distance of 50km in the direction S50ºE and then sails in the distance of 50km in the direction N40ºE. Find the bearing of the ship from its original position.
- A. S90\(^0\)E
- B. N40\(^0\)
- C. S95\(^0\)E
- D. N85\(^0\)E
Audu bought an article for N50,000 and sold it to Femi at a loss of x%. Femi later sold the article to Oche at a profit of 40%. If Femi made a profit of N10,000, find the value of x.
- A. 60
- B. 50
- C. 40
- D. 20
In the diagram above, if ∠RPS = 50o, ∠RPQ = 30o and PQ = QR, find the value of ∠PRS.
- A. 80o
- B. 70o
- C. 60o
- D. 50o
The expression ax2 + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?
- A. 1, 3, 1
- B. 1, 2, 1
- C. 2, 1, 1
- D. 1, 1, 3
A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?
- A. y = \(\frac{3x^2}{2}\) + 2x
- B. y = (3x2)/2 + x
- C. y = 3x2 + (x/2)
- D. y = 3x2 +2x
In how many ways can a delegation of 3 be chosen from among 5 men and 3 women, if at least one man and at least one woman must be included?
- A. 15
- B. 28
- C. 30
- D. 45
Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5
- A. 16
- B. 14
- C. 12
- D. 10
If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20}
E1 = {x : x is a multiple of 3}
E2 = {x : x is a multiple of 4}
and an integer is picked at random from U, find the probability that it is not in E2
- A. 3/4
- B. 3/10
- C. 1/4
- D. 1/20
Given that the various faces of a fair dice 1, 2, 3, 4, 5, 6 appeared 30, 43, 54, 40, 41, 32 times respectively in a single toss. Picture the figures as being represented in a simple table with number (X) against frequency (f).
If a pie chart is used to depict the data, the angle corresponding to 4 is?
- A. 10°
- B. 16°
- C. 40°
- D. 60°
In how many ways can the word MATHEMATICS be arranged?
- A. 11!/(9! 2!)
- B. 11!/(9! 2! 2!)
- C. 11!/(2! 2! 2!)
- D. 11!/(2! 2!)
If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.
- A. 0
- B. 2
- C. 3
- D. 4
X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.
- A. 0.30
- B. 0.50
- C. 0.57
- D. 1.80