Question 1If 1P1223 = 9810, where P is a digit, find the value of PA.3B.2C.1D.0Objective Show full explanation
Question 3If the mean of the numbers 0, (x + 2), (3x + 6) and (4x + 8) is 4, find their mean deviationA.11!/(9!2!)B.11!/(9!2!2!)C.11!/(2!2!2!)D.11!/(2!2!)Objective Show full explanation
Question 4If x = N45000, what is the sum of x and 3% of x?A.N58500B.N46350C.N45135D.N45014Objective Show full explanation
Question 5If an item bought for N180.00 was sold for N255.00, calculate the percentage profitA.20%B.25%C.45%D.80%Objective Show full explanation
Question 6Simplify $$\frac{8{\frac12} + 3{\frac12} \div 7}{1{\frac14} + 1{\frac12}}$$A.210⁄13B.2C.112⁄13D.1Objective Show full explanation
Question 8Express the number 0.002513 in standard formA.2.513 x 103B.2.513 x 102C.2.513 x 10-2D.2.513 x 10-3Objective Show full explanation
Question 9-3√5 - 4√3 / √5 - √3A.3 + √15B.½(3 - √15)C.½(3 + √15)D.3 - √15Objective Show full explanation
Question 10From the Venn diagram above, the shaded portion isA.P|(Q U R)B.(Q n R)C.(Q U R)D.P|(Q n R)Objective Show full explanation
Question 11In a class of 40 students, 55% passed Mathematics, 25% passed Physics and 20% passed both Mathematics and Physics. How many passed neither Mathematics nor Physics?A.10B.12C.14D.16Objective Show full explanation
Question 12If 5 = 1/2 (u + v)t, make v the subject of the formulaA.2s - ut⁄tB.ut - 2s⁄tC.ut + 2s⁄tD.2s - u⁄tObjective Show full explanation
Question 13If (y + 2) varies inversely as x, and y = 3 when x = 2, find y when x = 5A.3B.2C.1D.0Objective Show full explanation
Question 14If x - 2 is a factor of x3 - x2 - 14x + 24, find the other factorsA.(x + 3)(x - 4)B.(x + 3)(x + 4)C.(x + 3)(x + 5)D.(x - 3)(x + 4)Objective Show full explanation
Question 15Find the remainder when x3 - 24x2 + 3x + 1 is divided by (x + 1)A.6B.5C.-4D.-5Objective Show full explanation
Question 16Find the values of x for which the expression x3 + x2 - x + 1 / x2 - 4 is undefinedA.-2, 2B.2, 4C.-1, 4D.1, -4Objective Show full explanation
Question 17A number is chosen at random from 1 to 24 inclusive. What is the probability that the number is divisible by 5?A.1⁄5B.1⁄24C.1⁄12D.1⁄6Objective Show full explanation
Question 18Find the ranges of values of s and t if 2s + t < 9 and s + 3t < 7A.s<4 and t>-1B.s>4 and t<1C.s>4 and t>1D.s<4 and t>1Objective Show full explanation
Question 19Find the solution of the inequality 12 + 4s - s2 < 0A.{s:s<-2}U {s:s > 6}B.{s:s>-2}U{s:s<6}C.{s:s>2}U {s:s<6}D.{s:s>-2}U {s:s>6}Objective Show full explanation
Question 20If the 4th term of an A.P.is 15, find the 3rd term of the series 3rd term of series 3 + r + s + .....A.4B.7C.9D.11Objective Show full explanation
Question 21Find the 10th term of the sequence 1/9, 1/3, 1 .....A.311B.37C.3-7D.3-11Objective Show full explanation
Question 22A binary operation * is defined by a * b = &sqrt;a x b2. Find 9 * 2A.36B.18C.12D.6Objective Show full explanation
Question 23The table above shows an operation * on the set of numbers N = {1, 2, 3, 4}. Find the identity element of the operationA.1B.2C.3D.4Objective Show full explanation
Question 24$$\begin{pmatrix} 8 & -4 \\ -7 & 6 \end{pmatrix}$$A. B. C. D. Objective Show full explanation
Question 25If $$\begin{pmatrix}7 & 3 \\ x & x \end{pmatrix}$$ = 24, find xA.3B.4C.6D.8Objective Show full explanation
Question 26The sum of the interior angles of a regular polygon is 1080°. Find one exterior angle of the polygon.A.35°B.45°C.108°D.135°Objective Show full explanation
Question 27From the diagram above, O is the centre of the circle and A.50°B.60°C.70°D.80°Objective Show full explanation Question 28If a right circular cylinder of base radius 5cm has a height of 7cm, find the quantity of water the cylinder can contain (pi = 22/7)A.1100cm3B.550cm3C.250cm3D.110cm3Objective Show full explanation Question 29A chord of a circle is 40cm long and its perpendicular distance from the centre of the circle is 15cm. Calculate the radiusA.25cmB.20cmC.14cmD.13cmObjective Show full explanation Question 30Calculate the total surface area of a cylindrical pipe 100cm long whose cross-sectional diameter is 7cm (pi = 22/7)A.2359cm2B.2277cm2C.2200cm2D.1138cm2Objective Show full explanation Question 31R is on the locus of points equidistant from two given points P and Q. XY is a straight line through Q parallel to the locus. If angle RQX = 40°, find the value of angle PQRA.40°B.50°C.80°D.100°Objective Show full explanation Question 32A boy moves such that his distance from two fixed points (5,3) and (7, 4) are always equal. Find the equation of the locus od the boyA.2x + 4y - 31 = 0B.4x + 2y - 31 = 0C.4x - 2y -31 = 0D.2y - 4x - 31 = 0Objective Show full explanation Question 33If the midpoint of the line joining points P(m, n) and Q(1, 3) is R(2, 4), find the values of m and n, respectivelyA.4,3B.2,7C.4,2D.3,5Objective Show full explanation Question 34Find the gradient of the line joining points P(4, -1) and Q(-3, -5)A.4/7B.7/4C.-4/7D.-7/4Objective Show full explanation Question 35If the distance between the points (-3, -2) and (1, y) is 2&sqrt;5 units, find the value of yA.4B.2C.-2D.-4Objective Show full explanation Question 36A vertical pole is 50m away from a points on a level ground, and the angle of elevation of the top of the pole from the point is 35°, find the height of the poleA.71mB.50mC.42mD.35mObjective Show full explanation Question 37In triangle PQR, Q = 30°, q = 8.6cm and r = 3.2cm. Find A.13°B.12°C.11°D.10°Objective Show full explanation Question 38Evaluate $$Lim_{x\rarr1} \frac{{x^2}-1}{x-1}$$A.2B.1C.-1D.21Objective Show full explanation Question 39If y = cosx/sinx, find dy/dxA.tanxB.cotxC.-tan2D.-cosec2xObjective Show full explanation Question 40Find a maximum value of the function f(x) = x3 - 12x + 5A.-9B.-2C.9D.21Objective Show full explanation Question 41∫0π/2 (x + sinx)dxA.p2/8 + 1B.p2/8 - 1C.1 - p2/8D.p2/8Objective Show full explanation Question 42Find ∫(3x2 + 2x + 6)dxA.x3 + x2 + 6x + kB.x3 + x2 + 2x + kC.x3 + x2 + 4D.x3 + x2 + 6Objective Show full explanation Question 43The pie chart above shows the distribution of funds. If the total sum disbursed is N540,000, what is the amount collected for education?A.N120,000B.N130,500C.N135,000D.N149,000Objective Show full explanation Question 44 Goals scored 0 1 3 4 5 No of Clubs 8 2 3 3 2 The table above shows the frequency distribution of goals scored in a football season. How many clubs scored at least 3 goals?A.3B.5C.6D.8Objective Show full explanation Question 45Find the mean of 8.3, 11.2, 9.4, 13.8, 12.9 and 10.5A.10.02B.10.20C.11.02D.11.20Objective Show full explanation Question 46From the table above, find the number of students that scored at most 15A.30B.20C.15D.10Objective Show full explanation Question 47Find the mean deviation of 1, 2, 3, 3, and 5A.2.20B.2.10C.1.04D.0.12Objective Show full explanation Question 48From the table above, the weights of 10 babies were obtained and recorded to the nearest kilogram. Find the variance of the distributionA.10.50B.7.40C.3.10D.0.89Objective Show full explanation Question 49In how many ways can the letters of the word 'BENZENE' be arranged?A.420B.840C.42100D.40320Objective Show full explanation Question 50If a die is tossed twice, what is the probability that the sum of the outcome is 6?A.1/18B.1/12C.1/9D.5/36Objective Show full explanation
Question 28If a right circular cylinder of base radius 5cm has a height of 7cm, find the quantity of water the cylinder can contain (pi = 22/7)A.1100cm3B.550cm3C.250cm3D.110cm3Objective Show full explanation
Question 29A chord of a circle is 40cm long and its perpendicular distance from the centre of the circle is 15cm. Calculate the radiusA.25cmB.20cmC.14cmD.13cmObjective Show full explanation
Question 30Calculate the total surface area of a cylindrical pipe 100cm long whose cross-sectional diameter is 7cm (pi = 22/7)A.2359cm2B.2277cm2C.2200cm2D.1138cm2Objective Show full explanation
Question 31R is on the locus of points equidistant from two given points P and Q. XY is a straight line through Q parallel to the locus. If angle RQX = 40°, find the value of angle PQRA.40°B.50°C.80°D.100°Objective Show full explanation
Question 32A boy moves such that his distance from two fixed points (5,3) and (7, 4) are always equal. Find the equation of the locus od the boyA.2x + 4y - 31 = 0B.4x + 2y - 31 = 0C.4x - 2y -31 = 0D.2y - 4x - 31 = 0Objective Show full explanation
Question 33If the midpoint of the line joining points P(m, n) and Q(1, 3) is R(2, 4), find the values of m and n, respectivelyA.4,3B.2,7C.4,2D.3,5Objective Show full explanation
Question 34Find the gradient of the line joining points P(4, -1) and Q(-3, -5)A.4/7B.7/4C.-4/7D.-7/4Objective Show full explanation
Question 35If the distance between the points (-3, -2) and (1, y) is 2&sqrt;5 units, find the value of yA.4B.2C.-2D.-4Objective Show full explanation
Question 36A vertical pole is 50m away from a points on a level ground, and the angle of elevation of the top of the pole from the point is 35°, find the height of the poleA.71mB.50mC.42mD.35mObjective Show full explanation
Question 37In triangle PQR, Q = 30°, q = 8.6cm and r = 3.2cm. Find A.13°B.12°C.11°D.10°Objective Show full explanation Question 38Evaluate $$Lim_{x\rarr1} \frac{{x^2}-1}{x-1}$$A.2B.1C.-1D.21Objective Show full explanation Question 39If y = cosx/sinx, find dy/dxA.tanxB.cotxC.-tan2D.-cosec2xObjective Show full explanation Question 40Find a maximum value of the function f(x) = x3 - 12x + 5A.-9B.-2C.9D.21Objective Show full explanation Question 41∫0π/2 (x + sinx)dxA.p2/8 + 1B.p2/8 - 1C.1 - p2/8D.p2/8Objective Show full explanation Question 42Find ∫(3x2 + 2x + 6)dxA.x3 + x2 + 6x + kB.x3 + x2 + 2x + kC.x3 + x2 + 4D.x3 + x2 + 6Objective Show full explanation Question 43The pie chart above shows the distribution of funds. If the total sum disbursed is N540,000, what is the amount collected for education?A.N120,000B.N130,500C.N135,000D.N149,000Objective Show full explanation Question 44 Goals scored 0 1 3 4 5 No of Clubs 8 2 3 3 2 The table above shows the frequency distribution of goals scored in a football season. How many clubs scored at least 3 goals?A.3B.5C.6D.8Objective Show full explanation Question 45Find the mean of 8.3, 11.2, 9.4, 13.8, 12.9 and 10.5A.10.02B.10.20C.11.02D.11.20Objective Show full explanation Question 46From the table above, find the number of students that scored at most 15A.30B.20C.15D.10Objective Show full explanation Question 47Find the mean deviation of 1, 2, 3, 3, and 5A.2.20B.2.10C.1.04D.0.12Objective Show full explanation Question 48From the table above, the weights of 10 babies were obtained and recorded to the nearest kilogram. Find the variance of the distributionA.10.50B.7.40C.3.10D.0.89Objective Show full explanation Question 49In how many ways can the letters of the word 'BENZENE' be arranged?A.420B.840C.42100D.40320Objective Show full explanation Question 50If a die is tossed twice, what is the probability that the sum of the outcome is 6?A.1/18B.1/12C.1/9D.5/36Objective Show full explanation
Question 38Evaluate $$Lim_{x\rarr1} \frac{{x^2}-1}{x-1}$$A.2B.1C.-1D.21Objective Show full explanation
Question 40Find a maximum value of the function f(x) = x3 - 12x + 5A.-9B.-2C.9D.21Objective Show full explanation
Question 42Find ∫(3x2 + 2x + 6)dxA.x3 + x2 + 6x + kB.x3 + x2 + 2x + kC.x3 + x2 + 4D.x3 + x2 + 6Objective Show full explanation
Question 43The pie chart above shows the distribution of funds. If the total sum disbursed is N540,000, what is the amount collected for education?A.N120,000B.N130,500C.N135,000D.N149,000Objective Show full explanation
Question 44 Goals scored 0 1 3 4 5 No of Clubs 8 2 3 3 2 The table above shows the frequency distribution of goals scored in a football season. How many clubs scored at least 3 goals?A.3B.5C.6D.8Objective Show full explanation
Question 45Find the mean of 8.3, 11.2, 9.4, 13.8, 12.9 and 10.5A.10.02B.10.20C.11.02D.11.20Objective Show full explanation
Question 46From the table above, find the number of students that scored at most 15A.30B.20C.15D.10Objective Show full explanation
Question 47Find the mean deviation of 1, 2, 3, 3, and 5A.2.20B.2.10C.1.04D.0.12Objective Show full explanation
Question 48From the table above, the weights of 10 babies were obtained and recorded to the nearest kilogram. Find the variance of the distributionA.10.50B.7.40C.3.10D.0.89Objective Show full explanation
Question 49In how many ways can the letters of the word 'BENZENE' be arranged?A.420B.840C.42100D.40320Objective Show full explanation
Question 50If a die is tossed twice, what is the probability that the sum of the outcome is 6?A.1/18B.1/12C.1/9D.5/36Objective Show full explanation