MATHEMATICS PAST QUESTIONSBy Acadlly /60 96 Created by Samuel OkekeSSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONS Attempt 60 questions within 2 hours.Goodluck 1 / 60 If 8x â€“ 4 = 6x â€“ 10, find the value of 5x â€“ 15 â€“ 35 â€“ 3 â€“ 3 2 / 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? 1,600m 692.82m 923.76m 400.00m 3 / 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? N136.875 N128.750 N126.250 N131.875 4 / 60 A boy estimated his transport fare for a journey as N 190 instead of N200. Find the percentage error in his estimate 95% 47.5% 5% 5.26% 5 / 60 Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24 23 17.29 16.50 16.33 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 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? 3/20 9/10 3/5 Â¼ 8 / 60 If x% of 240 equals 12, find x: x = 1 x = 7 x =3 x = 5 9 / 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 306 degrees 234 degrees 10 / 60 If the volume of a cube is 343cm cube, find the length of its side 8cm 3cm 7cm 6cm 11 / 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 0.80cm 0.08cm 8cm 12 / 60 If two triangles are similar, which of the following is true? Their corresponding angles are equal corresponding sides are equal perimeters are equal corresponding altitudes are equal 13 / 60 The interior angle of a regular polygon is twice the exterior angle. How many sides have the polygon? 5 6 9 8 14 / 60 A regular polygon has 9 sides. What is the size of one of its exterior angles? 40 degree 20 degree 140 degree 90 degree 15 / 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. 27 degree 26 degree 32 degree 33 degree 16 / 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) 14cm 9cm 8cm 7cm 17 / 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 18 / 60 Tow numbers 24 and 31 are equal in value when converted to base ten. Find the equation connecting x and y. 3y + 2 (x + 3) 3y + 2x = 3 4x â€“ y = 1 2x = 3(y-1) 19 / 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 25m/s 150m/s 2500 m/s 20 / 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 N8,268.75 N3, 150.00 21 / 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 60cm cube 48cm cube 120cm cube 22 / 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. 144cm 36cm 24 cm 72cm 23 / 60 If tan y = 0.404, where y is acute, find cos 2y 0.927 0.035 0.808 0.719 24 / 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 = 3, Q = - 2 P = - 2, Q = 3 (a) P = 1, Q = 3 P = 1, Q = 2 25 / 60 A boy walks 800m in 20 minutes. Calculate his average speed in km per hour 16 4 2.4 24 26 / 60 What is the number whose logarithm to base 10 is 3.4771? 0.3 3.0 0.003 0.03 27 / 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 28 / 60 A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord 24cm 16cm 51cm 18cm 29 / 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? 27m 42 72m 108m 30 / 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 1 4 6 5 31 / 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 53 degrees 35 degrees 36 degrees 37 degrees 32 / 60 Find the average of the first four prime numbers greater than 10 19 15 17 20 33 / 60 A trader makes a loss of 15% when selling an article. Find the ration, selling price: cost price 17:20 3:20 3:17 20:23 34 / 60 A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km? 45 minutes 40 minutes 35 minutes 90 minutes 35 / 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) 2.3cm 16cm 8cm 4.6cm 36 / 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 80cm square 21cm square 40cm square 150cm square 37 / 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 4/11 11/13 2/11 38 / 60 Given that 2P â€“ m = 6 and 2p + 4m = 1. Find the value of (4p + 3m) 5 1 3 7 39 / 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 40 / 60 What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 374 cm square 77 cm square 297 cm square 227 cm square 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% 17.5% 85.1% 42 / 60 Which of the following correctly expresses 48 as a product of prime factors? 2 x 2 x 3 x 4 2 x 2 x 2 x 3 3 + 4 x 4 2 x 3 x 8 43 / 60 Find the next two terms of the sequence 1, 5, 14, 30, 50â€¦ 81, 140 67, 116 61, 110 91, 140 44 / 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 11 20 21 22 45 / 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 46 / 60 Two solid spheres have volumes 250cm^{3} and 128cm^{3} respectively. Find the ratio of their radii 25:16 125:64 2:1 5:4 47 / 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% 48 / 60 Find the mean deviation of 6, 7, 8, 9, 10 2 8 1.5 1.2 49 / 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? 4:5 3:4 1:4 1:5 50 / 60 A ladder, 6cm long, leans against a vertical wall at an angel 53 degree to the horizontal. How high up the wall does the ladder reach? 4.521m 4.792m 7.962m 3.611m 51 / 60 If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z 5:4:7 15:28:84 12:20:35 3:5:4 52 / 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 13/25 16/625 53 / 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 60 years 74 years 45 years 48 years 54 / 60 The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase 10% 15.6% 18.5% 15% 55 / 60 A pyramid of volume 120cm cube has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid 15cm 12cm 5cm 9cm 56 / 60 Correct 0.04945 to two significant figures 0.049 0.49 0.040 0.050 57 / 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 12/12 + m 12/m 12/m + 12 58 / 60 A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord 16cm 32cm 27.86cm 48cm 59 / 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? 6 4 2 3 60 / 60 If the simple interest on a sum of money invested at 3% per annum for 2 Â½ years is N123, find the principal N820 N1640 N4,920 N676.50 Your score isThe average score is 16% LinkedIn Facebook VKontakte 0% Restart quiz Send feedback You may read physics past questions AreaClick To Get A Free Gift Here Length Rates Algebraic Click To Get A Free Gift Here