Simplify (3√64a3)\(^{−1}\)
- A. 4a
- B. \(\frac{1}{8a}\)
- C. 8a
- D. \(\frac{1}{4a}\)
Find the gradient of the line joining the points (3, 2) and (1, 4)
- A. 3/2
- B. 2/1
- C. -1
- D. 3/2
The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1
- A. 9
- B. - 9
- C. 6
- D. - 6
Make S the subject of the relation
p = s + \(\frac{sm^2}{nr}\)
- A. s = \(\frac{nrp}{nr + m^2}\)
- B. s = nr + \(\frac{m^2}{mrp}\)
- C. s = \(\frac{nrp}{mr}\) + m2
- D. s = \(\frac{nrp}{nr}\) + m2
Factorize completely X2+2XY+Y2+3X+3Y-18
- A. (x + y + 6)(x + y -3)
- B. (x - y - 6)(x - y + 3)
- C. (x - y + 6)(x - y - 3)
- D. (x + y - 6)(x + y + 3)
In the diagram above MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140°, find, to the nearest cm, the length of the chord MN.
- A. 10cm
- B. 19cm
- C. 17cm
- D. 12cm
Find ∫(x2 + 3x − 5)dx
- A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
- B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
- C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
- D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k
Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)
- A. 2x + 2y = 9
- B. 2x + 3y = 8
- C. 2x + y = 9
- D. x + 2y = 8
y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation
- A. 47
- B. 42
- C. 54
- D. 46
In how many ways can the word MACICITA be arranged?
- A. \(\frac{8!}{2!}\)
- B. \(\frac{8!}{3! 2!}\)
- C. \(\frac{8!}{2! 2! 2!}\)
- D. 8!
In how many ways can the word MATHEMATICS be arranged?
- A. \(\frac{11!}{9!2!}\)
- B. \(\frac{11!}{9!2!2!}\)
- C. \(\frac{11!}{2!2!2!}\)
- D. \(\frac{11!}{2!2!}\)
The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer
- A. ₦ 35, 000
- B. ₦ 40,000
- C. ₦ 25,000
- D. ₦ 20,000
Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum
- A. ₦ 4,900
- B. ₦ 5,000
- C. ₦ 4,700
- D. ₦ 4,000
If a rod 10cm in length was measured as 10.5cm, calculate the percentage error
- A. 5%
- B. 10%
- C. 8%
- D. 7%
Evaluate \(\frac{0.00000231}{0.007}\) and leave the answer in standard form
- A. 3.3 x 10-4
- B. 3.3 x 10-3
- C. 3.3 x 10-5
- D. 3.3 x 10-8
Find the number of ways that the letters of the word EXCELLENCE be arranged
- A. \(\frac{10!}{2!2!2!}\)
- B. \(\frac{10!}{4!2!}\)
- C. \(\frac{10!}{4!2!2!}\)
- D. \(\frac{10!}{2!2!}\)
A car dealer bought a second-hand car for 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?
- A. 60%
- B. 32%
- C. 25%
- D. 20%
Divide 4×3 – 3x + 1 by 2x – 1
- A. 2x2 -x + 1
- B. 2x2 - x -1
- C. 2x2 + x + 1
- D. 2x2 + x -1
A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?
- A. three times as much
- B. the same
- C. twice as much
- D. half as much
Simplify 4\(\sqrt{27}\) + 5\(\sqrt{12}\) − 3\(\sqrt{75}\)
- A. 7
- B. − 7
- C. − 7\(\sqrt{3}\)
- D. 7\(\sqrt{3}\)