The minimum value of y in the equation y = x\(^2\) – 6x + 8 is
- A. 8
- B. 3
- C. 7
- D. -1
Simplify \(\frac{x^2 – y^2}{2x^2 + xy – y^2}\)
- A. \(\frac{x + y}{2x + y}\)
- B. \(\frac{x + y}{2x - y}\)
- C. \(\frac{x - y}{2x - y}\)
- D. \(\frac{x - y}{2x + y}\)
Solve the inequality x – 1 > 4(x + 2)
- A. x > -3
- B. x < -3
- C. 2 < x < 3
- D. -3 < x < -2
An (n – 2)2 sided figure has n diagonals. Find the number n diagonals for 25-sided figure
- A. 7
- B. 8
- C. 9
- D. 10
Find the values of y which satisfy the simultaneous equations x + y = 5, x2 – 2y2 = 1
- A. -12, -2
- B. -12, 12
- C. -12, +2
- D. 2, -2
Factorize 62x + 1 + 7(6x) – 5
- A. [3(6x) - 5][2(6x)m + 1]
- B. [3(6x) + 5][2(6x) - 1]
- C. [(6x) - 5][3(6x) + 1]
- D. [2(6x) + 5][3(6x) - 1]
Find the values of m which make the following quadratic function a perfect square. x2 + 2(m + 1)x + m + 3
- A. -1, 1
- B. -1, 2
- C. 1, -2
- D. 2, -2
Make y the subject of the formula Z = x\(^2\) + \(\frac{1}{y^3}\)
- A. y = \(\frac{1}{(Z - x^2)^3}\)
- B. y = \(\frac{1}{(Z + x^2)^{\frac{1}{3}}}\)
- C. y = \(\frac{1}{(Z - x^2)^{\frac{1}{3}}}\)
- D. y = \(\frac{1}{\sqrt[3]{Z} - \sqrt[3]{x^2}}\)
If P varies inversely as V and V varies directly as R2, find the relationship between P and R given that R = 7 when P = 2
- A. P = 98R2
- B. PR2 = 98
- C. P = \(\frac{1}{98R2
- D. P = \(\frac{PR2}{98}\)
The formula Q = 1.5 + 0.5n gives the cost Q(in Naira)of feeding n people for a week. Find (in kobo) the extra cost of feeding one additional person
- A. 350k
- B. 200k
- C. 150k
- D. 50k
If a u2 – 3v2 and b = 2uv + v2 evaluate (2a – b)(a – b2), when u = 1 and v = -1
- A. 9
- B. 15
- C. 27
- D. 33
If P = \(\frac{\frac{2}{3}({1 – r^2})}{n^2}\), find n when r = \(\sqrt{\frac{1}{3}}\) and p = 1
- A. \(\frac{3}{2}\)
- B. \(\frac{1}{3}\)
- C. 3
- D. \(\frac{2}{3}\)
Simplify without using tables \(\frac{2\sqrt{14} \times 3\sqrt{21}}{7\sqrt{24} \times 2\sqrt{98}}\)
- A. \frac{3\sqrt{14}}{4}\)
- B. \(\frac{3\sqrt{2}}{4}\)
- C. \(\frac{3\sqrt{14}}{28}\)
- D. \(\frac{3\sqrt{2}}{28}\)
Simplify without using tables \(\frac{log_26}{log_28}\) – \(\frac{log_23}{2log_2\frac{1}{2}}\)
- A. \(\frac{1}{5}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{-1}{2}\)
- D. \(\frac{log_23}{log_27}\)
Evaluate without using tables (0.008) -\(\frac{1}{3}\) x (0.16) – \(\frac{3}{2}\)
- A. \(\frac{625}{8}\)
- B. \(\frac{8}{625}\)
- C. \(\frac{1}{8}\)
- D. 8
Four boys and ten girls can cut a field in 5 hours if the boys work at \(\frac{5}{4}\) the rate at which the girls work. How many boys will be needed to cut the field in 3 hours?
- A. 180
- B. 60
- C. 25
- D. 20
By selling 20 oranges for N1.35 a trader makes a profit of 8%. What is his percentage gain or loss if he sells the same 20 oranges for N1.10?
- A. 8%
- B. 10%
- C. 12%
- D. 15%
A man invests a sum of money at 4% per annum simple invest. After 3 years, the principal amounts to N7,000.00. Find the sum invested
- A. N7,840
- B. N6,250.00
- C. N616.00
- D. N5,833.33
Two brothers invested a total of N5,000.00 on a farm project, the farm yield was sold for N 15,000.00 at the end of the season. If the profit was shared in the ratio 2 : 3, what is the difference in the amount to profit received by the brothers?
- A. N2,000.00
- B. N4,000.00
- C. N6,000.00
- D. N10,000.00
If the length of a square is increased by 20% while while its width is decreased by 20% to form a rectangle, what is the ratio of the area of the rectangle to the area of the square?
- A. 6 : 5
- B. 25 : 24
- C. 5 : 6
- D. 24 : 25
A train moves from P to Q at an average speed of 90km/h and immediately returns from Q to P through the same route at an average speed of 45km/h. Find the average speed for the entire journey
- A. 55.00km/h
- B. 60.00km/h
- C. 67.50km\h
- D. 75.00km\h