MATHEMATICS PAST QUESTIONSExams Past Questions (Senior Classes) School Portal NG /60 64 Created by Mr. SamuelSSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONS Attempt 60 questions within 2 hours.Goodluck 1 / 60 A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord 16cm 18cm 51cm 24cm 2 / 60 There 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 m/12 12/12 + m 12/m 3 / 60 The 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 21 22 20 11 4 / 60 A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km? 35 minutes 40 minutes 90 minutes 45 minutes 5 / 60 A fair coin is tossed three times. Find the probability of getting two heads and one tail. ½ 1/8 1/4 3/8 6 / 60 Mr. John traveled from Aba to Ikorodu a distance of 720km in 8 hours. What will be his speed in m/s? 2500 m/s 25m/s 150m/s 250m/s 7 / 60 A regular polygon has 9 sides. What is the size of one of its exterior angles? 140 degree 90 degree 20 degree 40 degree 8 / 60 Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24 16.50 23 16.33 17.29 9 / 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 cone with the two intersecting lines as slant height the point of intersection of the two lines a circle with the point of intersection of the two lines as the centre 10 / 60 A fair die is tossed once. What is the probability of obtaining neither 5 nor 2? 1/6 5/6 ½ 2/3 11 / 60 If the volume of a cube is 343cm cube, find the length of its side 8cm 7cm 3cm 6cm 12 / 60 What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 297 cm square 374 cm square 77 cm square 227 cm square 13 / 60 Find the next two terms of the sequence 1, 5, 14, 30, 50… 91, 140 61, 110 81, 140 67, 116 14 / 60 A house bought for N 100,000 was later auctioned for N80, 000. Find the loss percent. 30% 50% 20% 40% 15 / 60 N140, 000 is shared between Abu, Kayode and Uche. Abu has twice as much as Kayode, and Kayode has twice as much as Uche. What is Kayode’s share? N40,000 N10,000 N20,000 N80, 000 16 / 60 Subtract (-y+3x+5z) from (4y – x – 2z) – 5y + 4x + 7z 3y + 2x + 3z 2x – 5y + 3Z 5y – 4x – 7z 17 / 60 Which of the following figures have one line of symmetry only? (I) Isosceles triangle (II) Rhombus (III) Kite I and III only I, II and III II and III only I and II only 18 / 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 = 1000cm^{3}) 2cm 5cm 8cm 4cm 19 / 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? N42, 200 N43, 000 N43, 200.00 N40,000.00 20 / 60 The 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? 72m 42 27m 108m 21 / 60 Given that 2P – m = 6 and 2p + 4m = 1. Find the value of (4p + 3m) 7 5 1 3 22 / 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 1:4 1:5 4:5 23 / 60 If the 2^{nd} and 5^{th} terms of a G.P are 6 and 48 respectively, find the sum of the first four terms – 45 – 20 – 15 45 24 / 60 The lengths of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector 234 degrees 306 degrees 252 degrees 246 degrees 25 / 60 If tan y = 0.404, where y is acute, find cos 2y 0.808 0.035 0.719 0.927 26 / 60 A pyramid of volume 120cm cube has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid 9cm 15cm 5cm 12cm 27 / 60 Which of the following is not a factor of 2P^{2} – 2? 2p + 1 p + 1 2 p – 1 28 / 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 120 m square 225 m square 57m square 29 / 60 If the simple interest on a sum of money invested at 3% per annum for 2 ½ years is N123, find the principal N1640 N676.50 N4,920 N820 30 / 60 Three 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 1 5 4 6 31 / 60 Which of the following correctly expresses 48 as a product of prime factors? 2 x 3 x 8 2 x 2 x 2 x 3 3 + 4 x 4 2 x 2 x 3 x 4 32 / 60 Three quarters of a number added to two and a half of that number gives 13. Find the missing number. 4 7 6 5 33 / 60 Find the average of the first four prime numbers greater than 10 20 17 19 15 34 / 60 Solve the simultaneous equations: x + y = 2 and 3x – 2y = 1 x = - 1 and y = 1 x =1 and y = 1 x = 1 and y = 2 x =2 and y = 1 35 / 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 96cm cube 120cm cube 48cm cube 60cm cube 36 / 60 Water flows from a tap into a cylindrical container at the rate of 5Pi cm cube per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of a seconds 15cm 5cm 8cm 2cm 37 / 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? 1/20 4/5 3/5 ¾ 38 / 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 straight line joining A and P a circle with centre A the triangle with centre P 39 / 60 Solve the inequality 2x + 3 < 5x X > 1 X > 3/7 X >- 1 X < 3/7 40 / 60 A boy walks 800m in 20 minutes. Calculate his average speed in km per hour 24 16 2.4 4 41 / 60 If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z 12:20:35 5:4:7 15:28:84 3:5:4 42 / 60 A survey shows that 228% of all the men in a village wear selected at random in the village wear size 9 shoes? 41/50 7/25 1 ½ 43 / 60 A man is four times as old as his son. The difference between their ages is 36 years. Find the sum of their ages 48 years 74 years 60 years 45 years 44 / 60 Correct 0.04945 to two significant figures 0.040 0.49 0.050 0.049 45 / 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? 400.00m 692.82m 1,600m 923.76m 46 / 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) 231cm 47cm 88cm 61cm 47 / 60 The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary 85.1% 58.5% 14.9% 17.5% 48 / 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 49 / 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. 26 degree 27 degree 32 degree 33 degree 50 / 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? N8,000 N14, 200 N16, 200 N12, 000 51 / 60 A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains? 1/6 5/6 7/12 5/12 52 / 60 Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7) 43.96cm 44.00cm 149.92cm 224.92cm 53 / 60 Given that Y = PX + Q and Y=5 when X=3, while Y=4 when X=2, find the values of P and Q. P = 1, Q = 2 (a) P = 1, Q = 3 P = - 2, Q = 3 P = 3, Q = - 2 54 / 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 N3, 150.00 N8,268.75 N4, 734. 30 N1, 575.00 55 / 60 An arc of a circle of radius 14cm subtends angle 300^{o} at the centre. Find the perimeter of the sector formed by the arc (Take Pi=22/7) 42.67cm 14.67cm 513.33cm 101.33cm 56 / 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 12/25 16/625 13/25 36/625 57 / 60 Given 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 root of r p varies inversely as the square of r p varies inversely as r p varies as the square of r 58 / 60 The 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 150cm square 80cm square 40cm square 21cm square 59 / 60 A man bought 220 mangoes at N5x. He sold each for 3x kobo and made again of N8. Find the value of x. 2 5 6 10 60 / 60 Find the mean deviation of 6, 7, 8, 9, 10 8 1.2 1.5 2 Your score is The average score is 17% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Send feedback You may read physics past questions Area Length RatesClick Here To Download School Portal NG Official Android App Algebraic SUBSCRIBE BELOW FOR A GIVEAWAY First name or full name Email Do You Like Our Lesson? Please Leave A Comment Below ↓ Leave a Reply Cancel reply Your email address will not be published. Required fields are marked *Name * Email * Website Comment * previousRUSTING OF IRONnextTIME