MATHEMATICS PAST QUESTIONSby School Portal NGExams Past Questions (Senior Classes) /60 83 Created by Mr. SamuelSSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONS Attempt 60 questions within 2 hours.Goodluck 1 / 60 The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216cm^{2}, find the length of the basic. 24 cm 36cm 144cm 72cm 2 / 60 What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 227 cm square 77 cm square 297 cm square 374 cm square 3 / 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 Â½ 41/50 7/25 4 / 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 20 11 22 5 / 60 A 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 6 / 60 If the volume of a cube is 343cm cube, find the length of its side 3cm 8cm 6cm 7cm 7 / 60 A house bought for N 100,000 was later auctioned for N80, 000. Find the loss percent. 30% 20% 40% 50% 8 / 60 A fair die is tossed once. What is the probability of obtaining neither 5 nor 2? 2/3 1/6 5/6 Â½ 9 / 60 The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes? 8:15 6:125 8:125 4:5 10 / 60 The 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) 9cm 8cm 14cm 7cm 11 / 60 If 8x â€“ 4 = 6x â€“ 10, find the value of 5x â€“ 3 â€“ 15 â€“ 3 â€“ 35 12 / 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 0.08cm 8cm 0.80cm 80cm 13 / 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 Kayodeâ€™s share? N80, 000 N40,000 N20,000 N10,000 14 / 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 108m 42 27m 15 / 60 A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord 24cm 16cm 18cm 51cm 16 / 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 5cm 8cm 15cm 2cm 17 / 60 The 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) 3.0cm 3.5cm 7.0cm 7.5cm 18 / 60 A manâ€™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 32 degree 33 degree 27 degree 19 / 60 The wheel of a tractor has diameter 1.4m. What distance does it cover in 100 complete revolutions? (Take Pi = 22/7) 220m 440m 140m 280m 20 / 60 A man bought 220 mangoes at N5x. He sold each for 3x kobo and made again of N8. Find the value of x. 10 6 5 2 21 / 60 Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24 23 16.33 16.50 17.29 22 / 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 â€“ (x + y) â€“ xy 1 â€“ (x â€“ y) + xy 1 â€“ (x â€“ y) + xy 1 â€“ (x + y) + xy 23 / 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. (a) P = 1, Q = 3 P = - 2, Q = 3 P = 1, Q = 2 P = 3, Q = - 2 24 / 60 A cooperative society charges an interest of 5 Â½ % per annum on any amount borrowed by its members. If a member borrows N125, 000, how much does he pay back after one year? N131.875 N128.750 N126.250 N136.875 25 / 60 Correct 0.04945 to two significant figures 0.040 0.049 0.49 0.050 26 / 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 27 / 60 A fair coin is tossed three times. Find the probability of getting two heads and one tail. 3/8 1/4 Â½ 1/8 28 / 60 Three men, Bedu, Bakre and Kofi shared N500 in the ratio 3:2:X respectively. If Beduâ€™s share is N150, find the value of x 5 1 4 6 29 / 60 A boy estimated his transport fare for a journey as N 190 instead of N200. Find the percentage error in his estimate 5.26% 95% 5% 47.5% 30 / 60 The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary 17.5% 58.5% 14.9% 85.1% 31 / 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? N14, 200 N8,000 N12, 000 N16, 200 32 / 60 Solve the simultaneous equations: x + y = 2 and 3x â€“ 2y = 1 x = 1 and y = 2 x =2 and y = 1 x = - 1 and y = 1 x =1 and y = 1 33 / 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 250m/s 150m/s 34 / 60 From a point P, R is 5km due west and 12km due south. Find the distance between P and R. 12km 5km 13km 17km 35 / 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 12/m 12/12 + m m/12 36 / 60 If 30% of y is equal to x, what, in terms of x is 30% of 3y? x/3 3x x/9 x 37 / 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 triangle with centre P the perpendicular bisector of AP a circle with centre A a straight line joining A and P 38 / 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 225 m square 57m square 120 m square 39 / 60 Find the next two terms of the sequence 1, 5, 14, 30, 50â€¦ 91, 140 67, 116 81, 140 61, 110 40 / 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) 513.33cm 101.33cm 42.67cm 14.67cm 41 / 60 The lengths of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector 252 degrees 246 degrees 234 degrees 306 degrees 42 / 60 A school girl spends Â¼ of her pocket money on books and 1/3 on dress. What fraction remains? 5/12 7/12 5/6 1/6 43 / 60 If two triangles are similar, which of the following is true? Their corresponding sides are equal perimeters are equal corresponding altitudes are equal corresponding angles are equal 44 / 60 A man made a loss of 15% by selling an article for N595. Find the cost price of the article 892.50 N700 N984.25 N600 45 / 60 Ladi sold a car for N84, 000 at a loss of 4%. How much did Ladi buy the car? N80, 640 N80, 500 N87, 360 N87, 500 46 / 60 If the simple interest on a sum of money invested at 3% per annum for 2 Â½ years is N123, find the principal N4,920 N676.50 N820 N1640 47 / 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) 88cm 47cm 61cm 231cm 48 / 60 A trader makes a loss of 15% when selling an article. Find the ration, selling price: cost price 3:20 17:20 3:17 20:23 49 / 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 â€“ 20 â€“ 15 â€“ 45 50 / 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 N1, 575.00 N4, 734. 30 N3, 150.00 N8,268.75 51 / 60 A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord 48cm 27.86cm 16cm 32cm 52 / 60 A pyramid of volume 120cm cube has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid 12cm 15cm 9cm 5cm 53 / 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 inversely as r p varies inversely as the square of r p varies as the square of r p varies as the square root of r 54 / 60 If x% of 240 equals 12, find x: x = 1 x = 5 x =3 x = 7 55 / 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 56 / 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 122 degrees 190 degrees 184 degrees 226 degrees 57 / 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. 4.0 cm 3.0cm 3.5 cm 2.5cm 58 / 60 If tan y = 0.404, where y is acute, find cos 2y 0.808 0.035 0.927 0.719 59 / 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 36/625 16/625 13/25 60 / 60 A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km? 35 minutes 90 minutes 45 minutes 40 minutes Your score is The average score is 16% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Send feedback You may read physics past questions Area Length Rates Algebraic previousRUSTING OF IRONnextTIME Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Name * Email * Website Comment *