Factorize 4x2 – 9y2 + 20x + 25
- A. (2x -3y + 5)(2x - 3y - 5)
- B. (2x - 3y)(2x + 3y)
- C. (2x - 3y +5)(2x + 3y + 5)
- D. (2x + 5)(2x - 9y +5)
The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to
- A. zero
- B. half of the common difference
- C. double the common difference
- D. the common difference
An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.
- A. 4
- B. zero
- C. -2
- D. -4
Solve the equations
m2 + n2 = 29
m + n = 7
- A. (2, 3) and ( 3, 5)
- B. (2, 5) and (5, 2)
- C. (5, 2) and ( 5, 3)
- D. (5, 3) and (3, 5)
If two graphs y = px\(^2\) + q and y = 2x\(^2\) -1 intersect at x = 2, find the value of p in terms q.
- A. \(\frac{q-8}{7}\)
- B. \(\frac{7-q}{4}\)
- C. \(\frac{8-q}{2}\)
- D. \(\frac{7+q}{8}\)
Divide: \(a^{3x} – 26a^{2x} + 156a^{x} – 216\) by \(a^{2x} – 24a^{x} + 108\).
- A. ax - 2
- B. ax + 2
- C. ax - 8
- D. ax - 6
Evaluate \(\frac{(0.14^2 \times 0.275)}{7(0.02)}\) to 3 decimal places.
- A. 0.039
- B. 0.385
- C. 0.033
- D. 0.038
Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.
- A. N4,900
- B. N5,000
- C. N4,700
- D. N4,800
If \(x = \frac{y}{2}\),evaluate\(\left(\frac{x^{3}}{y^{3}}+\frac{1}{2}\right) \div \left(\frac{1}{2} – \frac{x^{2}}{y^{2}}\right)\)
- A. 5/8
- B. 5/2
- C. 5/32
- D. 5/16
A car dealer bought a second-hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?
- A. 60%
- B. 32%
- C. 25%
- D. 20%
Given that \(p = 1 + \sqrt{2}\) and \(q = 1 – \sqrt{2}\), evaluate \(\frac{p^{2} – q^{2}}{2pq}\).
- A. 2(2+√2)
- B. -2(2+√2)
- C. 2√2
- D. -2√2
Evaluate 21.05347 – 1.6324 x 0.43 to 3 decimal places
- A. 20.980
- B. 20.351
- C. 20.981
- D. 20.352
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!)