Find the equation of the line parallel to 2y = 3(x – 2) and passes through the point (2, 3)
- A. y = \(\frac{2}{3} x - 3\)
- B. y = \(\frac{2}{3} x - 2\)
- C. y = \(\frac{3}{2} x\)
- D. y = \(\frac{-2}{3} x\)
In the diagram, PQ // SR. Find the value of x
- A. 34
- B. 46
- C. 57
- D. 68
A solid cuboid has a length of 7 cm, a width of 5 cm, and a height of 4 cm. Calculate its total surface area.
- A. 280 cm\(^2\)
- B. 166 cm\(^2\)
- C. 140 cm\(^2\)
- D. 83 cm\(^2\)
Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240km apart?
- A. 1:00 pm
- B. 12:00 noon
- C. 11:00 am
- D. 10:00 am
Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z
- A. x = \(\frac{6y}{z}\)
- B. x = \(\frac{12y}{z}\)
- C. x = \(\frac{3y}{z}\)
- D. x = \(\frac{3y}{2z}\)
Find the quadratic equation whose roots are \(\frac{1}{2}\) and -\(\frac{1}{3}\)
- A. 3x\(^2\) + x + 1 = 0
- B. 6x\(^2\) + x - 1 = 0
- C. 3x\(^2\) + x - 1 = 0
- D. 6x\(^2\) - x - 1 = 0
Make m the subject of the relation k = \(\sqrt{\frac{m – y}{m + 1}}\)
- A. m = \(\frac{y + k^2}{k^2 + 1}\)
- B. m = \(\frac{y + k^2}{1 - k^2}\)
- C. m = \(\frac{y - k^2}{k^2 + 1}\)
- D. m = \(\frac{y - k^2}{1 - k^2}\)
Solve \(\frac{1}{3}\)(5 – 3x) < \(\frac{2}{5}\)(3 – 7x)
- A. x > \(\frac{7}{22}\)
- B. x < \(\frac{7}{22}\)
- C. x > \(\frac{-7}{27}\)
- D. x < \(\frac{-7}{27}\)
The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio.
- A. 2
- B. 4
- C. 8
- D. 16
The implication x \(\to\) y is equivalent to?
- A. ~ y \(\to\) ~ x
- B. y \(\to\) ~ x
- C. ~ x \(\to\) ~ y
- D. y \(\to\) x
Solve 3x – 2y = 10 and x + 3y = 7 simultaneously
- A. x = -4 and y = 1
- B. x = -1 and y = -4
- C. x = 1 and y = 4
- D. x = 4 and y = 1
If x = 3 and y = -1, evaluate 2(x\(^2\) – y\(^3\))
- A. 24
- B. 22
- C. 20
- D. 16
Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\)
= x + y\(\sqrt{15}\), find the value of (x + y)
- A. 1\(\frac{3}{5}\)
- B. 1\(\frac{2}{5}\)
- C. 1\(\frac{1}{5}\)
- D. \(\frac{1}{5}\)
An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x
- A. N470,000.00
- B. N480,000.00
- C. N490,000.00
- D. N500,000.00
If 101\(_{\text{two}}\) + 12\(_y\) = 23\(_{\text{five}}\). Find the value of y
- A. 8
- B. 7
- C. 6
- D. 5
Express 1 + 2 log10\(^3\) in the form log10\(^9\)
- A. log10\(^{90}\)
- B. log10\(^{19}\)
- C. log10\(^{9}\)
- D. log10\(^{6}\)
Simplify; [(\(\frac{16}{9}\))\(^{\frac{-3}{2}}\) x 16\(^{\frac{-3}{4}}\)]\(^{\frac{1}{3}}\)
- A. \(\frac{3}{4}\)
- B. \(\frac{9}{16}\)
- C. \(\frac{3}{8}\)
- D. \(\frac{1}{4}\)
If X = {x : x < 7} and Y = {y:y is a factor of 24} are subsets of \(\mu\) = {1, 2, 3…10} find X \(\cap\) Y.
- A. {2, 3, 4, 6}
- B. {1, 2, 3, 4, 6}
- C. {2, 3, 4, 6, 8}
- D. {1, 2, 3, 4, 6, 8}
Evaluate and correct to two decimal places, 75.0785 – 34.624 + 9.83
- A. 30.60
- B. 50.29
- C. 50.28
- D. 30.63