MATHEMATICS PAST QUESTIONS Leave a Comment / Exams Past Questions (Senior Classes) / By Acadlly / Mathematics, Past Questions (SSS) /60 91 Created by Samuel OkekeSSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONSAttempt 60 questions within 2 hours.Goodluck 1 / 60A machine valued at N20, 000 depreciates by 10% every year. What will be the value of the machine at the end of two years? N12, 000 N14, 200 N8,000 N16, 200 2 / 60The interior angle of a regular polygon is twice the exterior angle. How many sides have the polygon? 9 5 6 8 3 / 60A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km? 45 minutes 35 minutes 40 minutes 90 minutes 4 / 60A point on the ground is 5m away from the foot of a vertical wall 7m high. Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall 44 degree 46 degree 36 degree 54 degree 5 / 60The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium 80cm square 40cm square 21cm square 150cm square 6 / 60A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord 16cm 24cm 51cm 18cm 7 / 60A group of eleven people can speak either English or French or both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French? 5/11 2/11 4/11 11/13 8 / 60Tow numbers 24 and 31 are equal in value when converted to base ten. Find the equation connecting x and y. 4x – y = 1 3y + 2x = 3 3y + 2 (x + 3) 2x = 3(y-1) 9 / 60What is the number whose logarithm to base 10 is 3.4771? 0.03 0.003 0.3 3.0 10 / 60A chord of length 6cm is drawn in a circle of radius 5 cm. Find the distance of the chord from the centre of the circle. 3.0cm 3.5 cm 4.0 cm 2.5cm 11 / 60Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7) 224.92cm 43.96cm 44.00cm 149.92cm 12 / 60A sector of a circle radius 14cm subtends an angle 135 degree at the centre of the circle. What is the perimeter of the sector (take Pi = 22/7) 47cm 231cm 88cm 61cm 13 / 60There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class? 12/m + 12 12/m 12/12 + m m/12 14 / 60If the volume of a cube is 343cm cube, find the length of its side 8cm 3cm 6cm 7cm 15 / 60If x% of 240 equals 12, find x: x = 5 x = 1 x =3 x = 7 16 / 60Three men, Bedu, Bakre and Kofi shared N500 in the ratio 3:2:X respectively. If Bedu’s share is N150, find the value of x 4 5 6 1 17 / 60Find the average of the first four prime numbers greater than 10 19 15 20 17 18 / 60The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary 58.5% 17.5% 85.1% 14.9% 19 / 60Correct 0.04945 to two significant figures 0.049 0.040 0.49 0.050 20 / 60The lengths of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector 246 degrees 234 degrees 306 degrees 252 degrees 21 / 60A boy contains 3 red and 2 white identical balls. If 2 balls are picked at random from the bag, one after the other and with replacement, find the probability that they are of different colours 12/25 16/625 36/625 13/25 22 / 60If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z 5:4:7 3:5:4 12:20:35 15:28:84 23 / 60What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 297 cm square 374 cm square 227 cm square 77 cm square 24 / 60A messenger was paid N2.50 an hour during the normal working hours and N4.00 an hour during overtime. If he received N31.00 for 10 hours work, how many hours are for overtime? 6 2 4 3 25 / 60The curved surface area of a cylindrical tin is 704cm cube. If the radius of its base is 8cm. find the height (Take Pi = 22/7) 14cm 9cm 7cm 8cm 26 / 60The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes? 6:125 8:125 4:5 8:15 27 / 60The sum of the 1^{st} and 2^{nd} terms of an AP is 4 and the 10^{th} term is 19. Find the sum of the 5^{th} and 6^{th} terms 11 22 20 21 28 / 60Solve the inequality 2x + 3 < 5x X > 3/7 X < 3/7 X > 1 X >- 1 29 / 60Find the mean deviation of 6, 7, 8, 9, 10 2 8 1.5 1.2 30 / 60Given that 2P – m = 6 and 2p + 4m = 1. Find the value of (4p + 3m) 7 1 3 5 31 / 60Given that Y = PX + Q and Y=5 when X=3, while Y=4 when X=2, find the values of P and Q. (a) P = 1, Q = 3 P = 1, Q = 2 P = - 2, Q = 3 P = 3, Q = - 2 32 / 60Mr. John traveled from Aba to Ikorodu a distance of 720km in 8 hours. What will be his speed in m/s? 2500 m/s 150m/s 250m/s 25m/s 33 / 60A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangle floor. Calculate the area of the floor. 57m square 30 m square 225 m square 120 m square 34 / 60The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30^{o}. If TU = 54m, how high is T above the horizontal ground? 42 72m 108m 27m 35 / 60A house bought for N 100,000 was later auctioned for N80, 000. Find the loss percent. 20% 40% 50% 30% 36 / 60If 30% of y is equal to x, what, in terms of x is 30% of 3y? x x/3 x/9 3x 37 / 60The probabilities of a boy passing English and Mathematics test are x and y respectively. Find the probability of the boy failing both tests 1 – (x – y) + xy 1 – (x – y) + xy 1 – (x + y) – xy 1 – (x + y) + xy 38 / 60What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take Pi = 22/7) 38.5cm cube 269.5cm cube 1078cm cube 77cm cube 39 / 60A man’s eye level is 1,7m above the horizontal ground and calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes. 33 degree 27 degree 26 degree 32 degree 40 / 60The area of a sector of a sector of a circle with diameter 12cm is 66 cm square. If the sector is folded to form a cone, calculate the radius of the base of the cone. (Take Pi = 22/7) 7.5cm 7.0cm 3.0cm 3.5cm 41 / 60Given that p varies as the square of p and q varies inversely as the square root of r. how does p vary with r? p varies as the square of r p varies inversely as r p varies as the square root of r p varies inversely as the square of r 42 / 60The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. calculate its volume 120cm cube 60cm cube 48cm cube 96cm cube 43 / 60Two solid spheres have volumes 250cm^{3} and 128cm^{3} respectively. Find the ratio of their radii 125:64 2:1 5:4 25:16 44 / 60A man is four times as old as his son. The difference between their ages is 36 years. Find the sum of their ages 74 years 45 years 60 years 48 years 45 / 60Find the next two terms of the sequence 1, 5, 14, 30, 50… 91, 140 67, 116 81, 140 61, 110 46 / 60The probability of an event P happening is 1/5 and that of event Q is ¼. If the events are independent, what is the probability that neither of them happens? 3/5 ¾ 1/20 4/5 47 / 60If the simple interest on a sum of money invested at 3% per annum for 2 ½ years is N123, find the principal N820 N1640 N676.50 N4,920 48 / 60A cooperative society charges an interest of 5 ½ % per annum on any amount borrowed by its members. If a member borrows N125, 000, how much does he pay back after one year? N136.875 N128.750 N131.875 N126.250 49 / 60Which of the following statements describes the locus of a point R which moves in a plane such that it is a point R which moves in a plane such that it is equidistant from two intersecting lines? a cone with the two intersecting lines as slant height the point of intersection of the two lines the bisector of the angles formed by the lines a circle with the point of intersection of the two lines as the centre 50 / 60A fair die is tossed once. What is the probability of obtaining neither 5 nor 2? 1/6 ½ 5/6 2/3 51 / 60Which of the following is not a factor of 2P^{2} – 2? 2p + 1 p – 1 2 p + 1 52 / 60A man made a loss of 15% by selling an article for N595. Find the cost price of the article N984.25 N700 N600 892.50 53 / 60Divide 3.6721 by 4 1.4180 1.1680 0.9180 1.1860 54 / 60A regular polygon has 9 sides. What is the size of one of its exterior angles? 20 degree 140 degree 90 degree 40 degree 55 / 60A student bought 3 notebooks and 1 pen for N35. After misplacing these items. She again bought 2 notebooks and 2 pens, all of the same type for N30. What is the cost of a pen? N10.00 N50.00 N15.00 N7.50 56 / 60The wheel of a tractor has diameter 1.4m. What distance does it cover in 100 complete revolutions? (Take Pi = 22/7) 280m 440m 220m 140m 57 / 60A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains? 5/12 1/6 5/6 7/12 58 / 60Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24 16.50 17.29 23 16.33 59 / 60Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office? 25 35 30 45 60 / 60The population of students in a school is 810. If this represented on a pie chart. Calculate the sectoral angle for a class of 72 students 60 degree 32 degree 75 degree 45 degree Your score isThe average score is 16% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Send feedback You may read physics past questions AreaLengthRatesAlgebraic