121.If (25)ˣ⁻¹ = 64(5⁄2)⁶ , then x has the value
122.If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, in what ratio is the surface area reduced?
- A. 8:125
- B. 2:5
- C. 8:25
- D. 4:25
123.In base ten, the number 101101 (base 2) equals
124.Simplify (5ˣ x 25ˣ⁻¹)/(125ˣ⁺¹)
- A. 5²ˣ⁻¹
- B. 5ˣ⁻¹
- C. 5ˣ⁻¹
- D. 5ˣ⁻¹
125.Simplify 2 5/12 - 1 7/8 x 6/5
- A. 1/6
- B. 13/20
- C. 11/30
- D. 9/4
126.Solve the system of equations: 2ˣ⁺ʸ = 32, 3³ʸ⁻ˣ = 27
- A. (3,2)
- B. (-3,2)
- C. 3,-2
- D. -3,-2
127.The annual profits of a transport business were divided between the two partners A and B in the ratio 3:5. If B receives N3,000 more than A, the total profit was:
- A. N5,000
- B. N1,800
- C. N12,000
- D. N24,000
128.The diameter of a metal rod is measured as 23.40cm to four significant figures. What is the maximum error in the measurement?
- A. 0.05cm
- B. 0.5cm
- C. 0.045cm
- D. 0.005cm
129.The ratio of the price of a loaf of bread to the price of a packet of sugar in 1975 was r :t, in 1980 the price of a loaf went up by 25% and that of a packet of sugar by 10%. Their new ratio is now
- A. 40r:50t
- B. 44r:50t
- C. 50r:44t
- D. 55r:44t
130.The sum of 3 7/8 and 1 1/3 is less than the difference between 3/8 and 1 2/3 by
- A. 3 2/3
- B. 5 1/4
- C. 6 1/2
- D. 0
131.Two distinct sectors in the same circle subtend 1000 and 300 respectively at the centre of the circle. Their corresponding arcs are in the ratio
- A. 1:100
- B. 3:1
- C. 5:2
- D. 10:3
132.What is log₇(49ᵃ) - log₁₀(0.001)?
- A. 49a/100
- B. a/2 + 2
- C. 7²ᵃ + 2
- D. 2a + 2
133.What is the number whose logarithm to base 10 is .3482?
- A. 223.6
- B. 0.2228
- C. 2.235
- D. 0.02229
134.When a dealer sells a bicycle for N81 he makes a profit of 8%. What did he pay for the bicycle?
- A. N73
- B. N74.52
- C. N75
- D. N75.52
135.Write the decimal number 39 to base 2
- A. 100111
- B. 110111
- C. 111001
- D. 100101
136.A father is now three times as old as his son. Twelve years ago, he was six times as old as his son. How old are the son and the father?
- A. 20 and 45
- B. 100 and 150
- C. 45 and 65
- D. 20 and 60
137.A steel ball of radius 1cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?
- A. 44/3 πcm³
- B. 12 πcm³
- C. 38/3πcm³
- D. 40/3πcm³
138.Find a two-digit number such that three times the tens digit is 2 less than twice the units digit, and twice the number is 20 greater than the number obtained by reversing the digits.
139.Find the roots of the equation 10x² − 13x −3 = 0
- A. x = 3/5 or –½
- B. x = 3/10 or -1
- C. x = -3/10 or 1
- D. x = -1/5 or 3/2
140.If a function is defined by f(x+1)=3x²-x+4, find f(0).