Categories Exams Past Questions (Senior Classes) MATHEMATICS PAST QUESTIONS Post author By Acadlly /60 93 Created by Samuel OkekeSSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONS Attempt 60 questions within 2 hours.Goodluck 1 / 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? 42 108m 27m 72m 2 / 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 3.611m 7.962m 3 / 60 Which of the following correctly expresses 48 as a product of prime factors? 2 x 2 x 2 x 3 3 + 4 x 4 2 x 2 x 3 x 4 2 x 3 x 8 4 / 60 Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7) 44.00cm 149.92cm 224.92cm 43.96cm 5 / 60 A regular polygon has 9 sides. What is the size of one of its exterior angles? 140 degree 90 degree 40 degree 20 degree 6 / 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 184 degrees 122 degrees 226 degrees 190 degrees 7 / 60 Find the average of the first four prime numbers greater than 10 19 20 15 17 8 / 60 A fair die is tossed once. What is the probability of obtaining neither 5 nor 2? 2/3 1/6 5/6 ½ 9 / 60 From a point P, R is 5km due west and 12km due south. Find the distance between P and R. 13km 12km 17km 5km 10 / 60 The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes? 4:5 8:15 6:125 8:125 11 / 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 12 / 60 What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 77 cm square 297 cm square 374 cm square 227 cm square 13 / 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? N50.00 N7.50 N10.00 N15.00 14 / 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 120cm cube 48cm cube 15 / 60 A survey shows that 228% of all the men in a village wear selected at random in the village wear size 9 shoes? 7/25 1 41/50 ½ 16 / 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% 17 / 60 Correct 0.04945 to two significant figures 0.040 0.050 0.049 0.49 18 / 60 A trader makes a loss of 15% when selling an article. Find the ration, selling price: cost price 20:23 17:20 3:17 3:20 19 / 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 11//20 3/10 9/20 1/10 20 / 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? 4/5 3/5 1/20 ¾ 21 / 60 Which of the following figures have one line of symmetry only? (I) Isosceles triangle (II) Rhombus (III) Kite II and III only I and III only I, II and III I and II only 22 / 60 I am x years old and my brother is 3 years older. How old was my brother last year? (x + 2) years (3x + 1) years (3x – 1) years (x – 4) years 23 / 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 14cm 8cm 7cm 24 / 60 A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord 32cm 27.86cm 48cm 16cm 25 / 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 45 – 15 – 20 26 / 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 37 degrees 53 degrees 36 degrees 35 degrees 27 / 60 Which of the following is not a factor of 2P^{2} – 2? 2p + 1 p + 1 p – 1 2 28 / 60 A 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 N131.875 N128.750 N126.250 29 / 60 The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase 15.6% 10% 18.5% 15% 30 / 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 21 20 22 31 / 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 the square of r p varies as the square of r p varies as the square root of r p varies inversely as r 32 / 60 Find the next two terms of the sequence 1, 5, 14, 30, 50… 91, 140 81, 140 61, 110 67, 116 33 / 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 34 / 60 If two triangles are similar, which of the following is true? Their corresponding angles are equal corresponding altitudes are equal corresponding sides are equal perimeters are equal 35 / 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 N8,268.75 N4, 734. 30 N3, 150.00 N1, 575.00 36 / 60 Two solid spheres have volumes 250cm^{3} and 128cm^{3} respectively. Find the ratio of their radii 25:16 2:1 125:64 5:4 37 / 60 Solve the inequality 2x + 3 < 5x X > 1 X >- 1 X > 3/7 X < 3/7 38 / 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 39 / 60 Find the mean deviation of 6, 7, 8, 9, 10 1.2 8 2 1.5 40 / 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 75 degree 60 degree 45 degree 32 degree 41 / 60 Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24 16.50 17.29 16.33 23 42 / 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}) 8cm 5cm 2cm 4cm 43 / 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? 2/11 4/11 5/11 11/13 44 / 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? a cone with the two intersecting lines as slant height a circle with the point of intersection of the two lines as the centre the bisector of the angles formed by the lines the point of intersection of the two lines 45 / 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 32 degree 26 degree 33 degree 46 / 60 What is the number whose logarithm to base 10 is 3.4771? 0.3 0.003 0.03 3.0 47 / 60 If tan y = 0.404, where y is acute, find cos 2y 0.035 0.927 0.808 0.719 48 / 60 A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains? 5/12 5/6 1/6 7/12 49 / 60 A 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 36 degree 44 degree 46 degree 54 degree 50 / 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 = 1, Q = 2 P = 3, Q = - 2 P = - 2, Q = 3 51 / 60 If 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 52 / 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 45 years 48 years 74 years 53 / 60 If x% of 240 equals 12, find x: x = 5 x =3 x = 7 x = 1 54 / 60 Tow numbers 24 and 31 are equal in value when converted to base ten. Find the equation connecting x and y. 2x = 3(y-1) 3y + 2 (x + 3) 4x – y = 1 3y + 2x = 3 55 / 60 If 8x – 4 = 6x – 10, find the value of 5x – 3 – 3 – 35 – 15 56 / 60 Divide the sum of 8,6,7,2,0,4,7,2,3 by their mean 7 6 9 8 57 / 60 A fair coin is tossed three times. Find the probability of getting two heads and one tail. 3/8 1/8 1/4 ½ 58 / 60 Ladi sold a car for N84, 000 at a loss of 4%. How much did Ladi buy the car? N87, 360 N80, 640 N87, 500 N80, 500 59 / 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 513.33cm 101.33cm 14.67cm 60 / 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 Your score isThe average score is 16% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Send feedback You may read physics past questions Area Length Rates Algebraic Share on Social Media x facebook linkedinwhatsappFollow us on Social Media x facebook instagram youtubegoogle play Related posts: COMMERCE PAST QUESTIONS (SSCE) ENGLISH LANGUAGE PAST QUESTIONS (SSCE) LITERATURE PAST QUESTIONS Nursing Practice Exam Tags Mathematics, Past Questions (SSS) ← RUSTING OF IRON → TIME Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Email * Website