MATHEMATICS PAST QUESTIONS /60 96 Created by Samuel OkekeSSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONS Attempt 60 questions within 2 hours.Goodluck 1 / 60 The area of a square field is 110.25metre square field is 110.25 metre square. Find the cost of fencing it round at N75.00 per metre N4, 734. 30 N8,268.75 N1, 575.00 N3, 150.00 2 / 60 Every 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? 35 30 25 45 3 / 60 The 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? ¾ 3/5 4/5 1/20 4 / 60 The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase 10% 15.6% 15% 18.5% 5 / 60 A cuboid of base 12.5cm by 20 cm holds exactly 1 litre of water. What is the height of the cuboid? (1 liter = 1000cm3) 5cm 2cm 4cm 8cm 6 / 60 A 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. 3.5 cm 3.0cm 2.5cm 4.0 cm 7 / 60 Which 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? the bisector of the angles formed by the lines a circle with the point of intersection of the two lines as the centre a cone with the two intersecting lines as slant height the point of intersection of the two lines 8 / 60 Find the mean deviation of 6, 7, 8, 9, 10 1.2 2 8 1.5 9 / 60 A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord 16cm 18cm 24cm 51cm 10 / 60 What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take Pi = 22/7) 1078cm cube 77cm cube 269.5cm cube 38.5cm cube 11 / 60 Ekaette spent ¼ of his money on food, 1/3 on clothing and saved the rest. If he saved N72, 000.00. How much did he spend on food? N40,000.00 N42, 200 N43, 200.00 N43, 000 12 / 60 A machine valued at N20, 000 depreciates by 10% every year. What will be the value of the machine at the end of two years? N16, 200 N8,000 N14, 200 N12, 000 13 / 60 The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes? 8:125 4:5 8:15 6:125 14 / 60 A 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? 3 2 4 6 15 / 60 A fair coin is tossed three times. Find the probability of getting two heads and one tail. 3/8 1/4 ½ 1/8 16 / 60 A survey shows that 228% of all the men in a village wear selected at random in the village wear size 9 shoes? 1 7/25 ½ 41/50 17 / 60 A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km? 90 minutes 35 minutes 45 minutes 40 minutes 18 / 60 Mr. John traveled from Aba to Ikorodu a distance of 720km in 8 hours. What will be his speed in m/s? 250m/s 150m/s 25m/s 2500 m/s 19 / 60 What is the number whose logarithm to base 10 is 3.4771? 0.03 0.003 3.0 0.3 20 / 60 If x% of 240 equals 12, find x: x = 1 x = 7 x = 5 x =3 21 / 60 If tan y = 0.404, where y is acute, find cos 2y 0.719 0.927 0.808 0.035 22 / 60 A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord 27.86cm 48cm 16cm 32cm 23 / 60 Find the average of the first four prime numbers greater than 10 17 19 20 15 24 / 60 There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class? m/12 12/m + 12 12/12 + m 12/m 25 / 60 The angle of elevation of an aircraft from a point K on the horizontal ground is 30 degree. If the aircraft is 800m above the ground, how far is it from K? 923.76m 400.00m 1,600m 692.82m 26 / 60 Calculate. Correct to 2 significant figures, the length of arc of a circle of radius 3.5cm which subtends an angle of 75 degree at the centre of the circle (Take Pi = 22/7) 4.6cm 8cm 2.3cm 16cm 27 / 60 The 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 28 / 60 The 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 29 / 60 Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm. calculate correct to the nearest degree, the smallest angle of the triangle 35 degrees 37 degrees 36 degrees 53 degrees 30 / 60 The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216cm2, find the length of the basic. 72cm 24 cm 144cm 36cm 31 / 60 A 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 32 / 60 The probabilities that John and James pass an examination are ¾ and 3/5 respectively. Find the probability of both boys failing the examination 1/10 9/20 11//20 3/10 33 / 60 An arc of a circle of radius 14cm subtends angle 300o at the centre. Find the perimeter of the sector formed by the arc (Take Pi=22/7) 101.33cm 42.67cm 513.33cm 14.67cm 34 / 60 A trader bought 100 tubers of yam at 5 for N350.00. She sold them in sets of 4 for N290.00. Find her gain percent 3.4% 2.5% 3.6% 3.5% 35 / 60 Correct 0.04945 to two significant figures 0.49 0.040 0.050 0.049 36 / 60 A 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. 27 degree 26 degree 32 degree 33 degree 37 / 60 Three quarters of a number added to two and a half of that number gives 13. Find the missing number. 5 7 4 6 38 / 60 A regular polygon has 9 sides. What is the size of one of its exterior angles? 140 degree 40 degree 90 degree 20 degree 39 / 60 A trader makes a loss of 15% when selling an article. Find the ration, selling price: cost price 20:23 17:20 3:20 3:17 40 / 60 The 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 60cm cube 96cm cube 120cm cube 48cm cube 41 / 60 The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary 58.5% 14.9% 85.1% 17.5% 42 / 60 A 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? N7.50 N10.00 N50.00 N15.00 43 / 60 Divide the sum of 8,6,7,2,0,4,7,2,3 by their mean 9 8 6 7 44 / 60 A fair die is tossed once. What is the probability of obtaining neither 5 nor 2? 2/3 ½ 1/6 5/6 45 / 60 Find the next two terms of the sequence 1, 5, 14, 30, 50… 67, 116 91, 140 61, 110 81, 140 46 / 60 If 8x – 4 = 6x – 10, find the value of 5x – 35 – 3 – 15 – 3 47 / 60 A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price? 3:4 1:5 4:5 1:4 48 / 60 Q is 25km from P on a bearing 042 degrees and R is 25km from P on a bearing of 132 degrees. Calculate the bearing of R from Q 190 degrees 122 degrees 226 degrees 184 degrees 49 / 60 A 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 13/25 16/625 12/25 36/625 50 / 60 P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is the perpendicular bisector of AP a circle with centre A a straight line joining A and P the triangle with centre P 51 / 60 Ladi sold a car for N84, 000 at a loss of 4%. How much did Ladi buy the car? N87, 360 N87, 500 N80, 640 N80, 500 52 / 60 Given that 2P – m = 6 and 2p + 4m = 1. Find the value of (4p + 3m) 5 7 1 3 53 / 60 Two solid spheres have volumes 250cm3 and 128cm3 respectively. Find the ratio of their radii 2:1 125:64 5:4 25:16 54 / 60 A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangle floor. Calculate the area of the floor. 30 m square 57m square 225 m square 120 m square 55 / 60 Out of 60 members of an association, 15 are doctors and 9 are lawyers. If a member is selected at random from the association, what is the probability that the member is neither doctor nor a lawyer? 9/10 3/20 ¼ 3/5 56 / 60 What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 77 cm square 374 cm square 227 cm square 297 cm square 57 / 60 Which of the following is not a factor of 2P2 – 2? 2p + 1 p – 1 2 p + 1 58 / 60 The volume of a cylinder is 1200 cm cube and the area of its base is 150cm cube. Find the height of the cylinder 80cm 0.08cm 8cm 0.80cm 59 / 60 Solve the inequality 2x + 3 < 5x X < 3/7 X >- 1 X > 3/7 X > 1 60 / 60 The 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 32 degree 75 degree 60 degree 45 degree Your score isThe average score is 16% LinkedIn Facebook VKontakte 0% Restart quiz Send feedback You may read physics past questions Area Length Rates Algebraic Related posts: Mathematics Questions and Answers AGRIC PAST QUESTIONS (SSCE) GOVERNMENT PAST QUESTIONS (SSCE) CRS/CRK/CRE PAST QUESTIONS (SSCE) COMPUTER STUDIES PAST QUESTIONS (SSCE) ENGLISH LANGUAGE TEST OF ORALS PAST QUESTIONS (SSCE)