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SS 3 MATHEMATICS PAST QUESTIONS (WAEC/NECO) /100 14 SSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONS SSCE APP These are Mathematics past questions Attempt as many questions as possible. Questions are drawn from pool of questions. Goodluck! 1 / 100 Category: MATHEMATICS PAST QUESTIONS A house bought for N 100,000 was later auctioned for N80, 000. Find the loss percent. 30% 20% 40% 50% 2 / 100 Category: MATHEMATICS PAST QUESTIONS 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 2500 m/s 150m/s 3 / 100 Category: MATHEMATICS PAST QUESTIONS A fair coin is tossed three times. Find the probability of getting two heads and one tail. 3/8 1/4 ½ 1/8 4 / 100 Category: MATHEMATICS PAST QUESTIONS 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 5 / 100 Category: MATHEMATICS PAST QUESTIONS Find the next two terms of the sequence 1, 5, 14, 30, 50… 81, 140 61, 110 67, 116 91, 140 6 / 100 Category: MATHEMATICS PAST QUESTIONS 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 20 11 21 22 7 / 100 Category: MATHEMATICS PAST QUESTIONS Solve the simultaneous equations: x + y = 2 and 3x – 2y = 1 x =1 and y = 1 x = - 1 and y = 1 x =2 and y = 1 x = 1 and y = 2 8 / 100 Category: MATHEMATICS PAST QUESTIONS 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 straight line joining A and P a circle with centre A 9 / 100 Category: MATHEMATICS PAST QUESTIONS Given that 2P – m = 6 and 2p + 4m = 1. Find the value of (4p + 3m) 1 3 5 7 10 / 100 Category: MATHEMATICS PAST QUESTIONS If the simple interest on a sum of money invested at 3% per annum for 2 ½ years is N123, find the principal N676.50 N820 N4,920 N1640 11 / 100 Category: MATHEMATICS PAST QUESTIONS If 30% of y is equal to x, what, in terms of x is 30% of 3y? x x/9 3x x/3 12 / 100 Category: MATHEMATICS PAST QUESTIONS Divide the sum of 8,6,7,2,0,4,7,2,3 by their mean 7 6 8 9 13 / 100 Category: MATHEMATICS PAST QUESTIONS From a point P, R is 5km due west and 12km due south. Find the distance between P and R. 5km 12km 13km 17km 14 / 100 Category: MATHEMATICS PAST QUESTIONS 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 33 degree 32 degree 27 degree 15 / 100 Category: MATHEMATICS PAST QUESTIONS 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 circle with the point of intersection of the two lines as the centre the point of intersection of the two lines a cone with the two intersecting lines as slant height the bisector of the angles formed by the lines 16 / 100 Category: MATHEMATICS PAST QUESTIONS 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 17 / 100 Category: MATHEMATICS PAST QUESTIONS 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% 18 / 100 Category: MATHEMATICS PAST QUESTIONS Find the average of the first four prime numbers greater than 10 17 20 15 19 19 / 100 Category: MATHEMATICS PAST QUESTIONS 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 20 / 100 Category: MATHEMATICS PAST QUESTIONS 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 21 / 100 Category: MATHEMATICS PAST QUESTIONS 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? 11/13 5/11 4/11 2/11 22 / 100 Category: MATHEMATICS PAST QUESTIONS If two triangles are similar, which of the following is true? Their corresponding altitudes are equal corresponding sides are equal perimeters are equal corresponding angles are equal 23 / 100 Category: MATHEMATICS PAST QUESTIONS 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 I and II only II and III only 24 / 100 Category: MATHEMATICS PAST QUESTIONS If tan y = 0.404, where y is acute, find cos 2y 0.035 0.927 0.719 0.808 25 / 100 Category: MATHEMATICS PAST QUESTIONS 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 108m 42 72m 26 / 100 Category: MATHEMATICS PAST QUESTIONS I am x years old and my brother is 3 years older. How old was my brother last year? (x – 4) years (3x + 1) years (3x – 1) years (x + 2) years 27 / 100 Category: MATHEMATICS PAST QUESTIONS 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 5 4 6 1 28 / 100 Category: MATHEMATICS PAST QUESTIONS 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 3.6% 3.5% 3.4% 2.5% 29 / 100 Category: MATHEMATICS PAST QUESTIONS Correct 0.04945 to two significant figures 0.49 0.049 0.040 0.050 30 / 100 Category: Uncategorized Three quarters of a number added to two and a half of that number gives 13. Find the missing number. 6 4 7 5 31 / 100 Category: MATHEMATICS PAST QUESTIONS What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take Pi = 22/7) 1078cm cube 77cm cube 38.5cm cube 269.5cm cube 32 / 100 Category: MATHEMATICS PAST QUESTIONS 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 ¼ 3/5 9/10 33 / 100 Category: MATHEMATICS PAST QUESTIONS Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7) 224.92cm 44.00cm 149.92cm 43.96cm 34 / 100 Category: MATHEMATICS PAST QUESTIONS 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 35 / 100 Category: MATHEMATICS PAST QUESTIONS 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 36/625 12/25 13/25 16/625 36 / 100 Category: MATHEMATICS PAST QUESTIONS What is the number whose logarithm to base 10 is 3.4771? 0.03 3.0 0.3 0.003 37 / 100 Category: MATHEMATICS PAST QUESTIONS Ladi sold a car for N84, 000 at a loss of 4%. How much did Ladi buy the car? N80, 640 N87, 500 N87, 360 N80, 500 38 / 100 Category: MATHEMATICS PAST QUESTIONS 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 8cm 16cm 4.6cm 39 / 100 Category: MATHEMATICS PAST QUESTIONS Solve the inequality 2x + 3 < 5x X > 3/7 X >- 1 X > 1 X < 3/7 40 / 100 Category: MATHEMATICS PAST QUESTIONS A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km? 35 minutes 45 minutes 40 minutes 90 minutes 41 / 100 Category: MATHEMATICS PAST QUESTIONS A regular polygon has 9 sides. What is the size of one of its exterior angles? 20 degree 140 degree 90 degree 40 degree 42 / 100 Category: MATHEMATICS PAST QUESTIONS A fair die is tossed once. What is the probability of obtaining neither 5 nor 2? ½ 1/6 5/6 2/3 43 / 100 Category: MATHEMATICS PAST QUESTIONS 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 8cm 5cm 2cm 44 / 100 Category: MATHEMATICS PAST QUESTIONS 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 692.82m 1,600m 45 / 100 Category: MATHEMATICS PAST QUESTIONS The probabilities that John and James pass an examination are ¾ and 3/5 respectively. Find the probability of both boys failing the examination 9/20 1/10 3/10 11//20 46 / 100 Category: MATHEMATICS PAST QUESTIONS 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? N128.750 N126.250 N131.875 N136.875 47 / 100 Category: MATHEMATICS PAST QUESTIONS If 8x – 4 = 6x – 10, find the value of 5x – 3 – 15 – 3 – 35 48 / 100 Category: MATHEMATICS PAST QUESTIONS 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 3 x 8 2 x 2 x 3 x 4 49 / 100 Category: MATHEMATICS PAST QUESTIONS The interior angle of a regular polygon is twice the exterior angle. How many sides have the polygon? 6 5 8 9 50 / 100 Category: MATHEMATICS PAST QUESTIONS A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangle floor. Calculate the area of the floor. 120 m square 57m square 225 m square 30 m square 51 / 100 Category: MATHEMATICS PAST QUESTIONS 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. 3.0cm 3.5 cm 2.5cm 4.0 cm 52 / 100 Category: MATHEMATICS PAST QUESTIONS 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 of r p varies as the square root of r p varies inversely as r p varies inversely as the square of r 53 / 100 Category: MATHEMATICS PAST QUESTIONS 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 36 degrees 35 degrees 53 degrees 54 / 100 Category: MATHEMATICS PAST QUESTIONS 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 24 cm 72cm 36cm 55 / 100 Category: MATHEMATICS PAST QUESTIONS 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 21cm square 40cm square 80cm square 150cm square 56 / 100 Category: MATHEMATICS PAST QUESTIONS A boy walks 800m in 20 minutes. Calculate his average speed in km per hour 24 4 2.4 16 57 / 100 Category: MATHEMATICS PAST QUESTIONS A man bought 220 mangoes at N5x. He sold each for 3x kobo and made again of N8. Find the value of x. 5 6 10 2 58 / 100 Category: MATHEMATICS PAST QUESTIONS 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 – 15 – 20 – 45 59 / 100 Category: MATHEMATICS PAST QUESTIONS A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord 16cm 24cm 18cm 51cm 60 / 100 Category: MATHEMATICS PAST QUESTIONS 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 61cm 88cm 47cm 61 / 100 Category: MATHEMATICS PAST QUESTIONS Which of the following is not a factor of 2P^{2} – 2? p – 1 2 2p + 1 p + 1 62 / 100 Category: MATHEMATICS PAST QUESTIONS Subtract (-y+3x+5z) from (4y – x – 2z) 2x – 5y + 3Z – 5y + 4x + 7z 3y + 2x + 3z 5y – 4x – 7z 63 / 100 Category: MATHEMATICS PAST QUESTIONS 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 45 degree 75 degree 32 degree 60 degree 64 / 100 Category: MATHEMATICS PAST QUESTIONS 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 1:5 3:4 1:4 65 / 100 Category: MATHEMATICS PAST QUESTIONS A boy estimated his transport fare for a journey as N 190 instead of N200. Find the percentage error in his estimate 47.5% 5% 95% 5.26% 66 / 100 Category: MATHEMATICS PAST QUESTIONS Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24 16.50 17.29 23 16.33 67 / 100 Category: MATHEMATICS PAST QUESTIONS 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 226 degrees 184 degrees 122 degrees 190 degrees 68 / 100 Category: MATHEMATICS PAST QUESTIONS If the volume of a cube is 343cm cube, find the length of its side 6cm 3cm 7cm 8cm 69 / 100 Category: MATHEMATICS PAST QUESTIONS A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains? 1/6 5/6 5/12 7/12 70 / 100 Category: MATHEMATICS PAST QUESTIONS Two solid spheres have volumes 250cm^{3} and 128cm^{3} respectively. Find the ratio of their radii 5:4 2:1 125:64 25:16 71 / 100 Category: MATHEMATICS PAST QUESTIONS Find the mean deviation of 6, 7, 8, 9, 10 1.5 2 1.2 8 72 / 100 Category: MATHEMATICS PAST QUESTIONS 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) 3y + 2x = 3 4x – y = 1 73 / 100 Category: MATHEMATICS PAST QUESTIONS 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 N15.00 N10.00 N7.50 74 / 100 Category: MATHEMATICS PAST QUESTIONS The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase 10% 15% 18.5% 15.6% 75 / 100 Category: MATHEMATICS PAST QUESTIONS 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? 45 25 35 30 76 / 100 Category: MATHEMATICS PAST QUESTIONS A pyramid of volume 120cm cube has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid 9cm 15cm 12cm 5cm 77 / 100 Category: MATHEMATICS PAST QUESTIONS 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? N20,000 N80, 000 N40,000 N10,000 78 / 100 Category: MATHEMATICS PAST QUESTIONS A man is four times as old as his son. The difference between their ages is 36 years. Find the sum of their ages 74 years 48 years 45 years 60 years 79 / 100 Category: MATHEMATICS PAST QUESTIONS 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) 101.33cm 513.33cm 42.67cm 14.67cm 80 / 100 Category: MATHEMATICS PAST QUESTIONS 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 81 / 100 Category: MATHEMATICS PAST QUESTIONS If x% of 240 equals 12, find x: x = 1 x = 5 x =3 x = 7 82 / 100 Category: MATHEMATICS PAST QUESTIONS 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? N12, 000 N14, 200 N8,000 N16, 200 83 / 100 Category: MATHEMATICS PAST QUESTIONS 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 = - 2, Q = 3 P = 3, Q = - 2 P = 1, Q = 2 (a) P = 1, Q = 3 84 / 100 Category: MATHEMATICS PAST QUESTIONS 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 48cm cube 120cm cube 60cm cube 96cm cube 85 / 100 Category: MATHEMATICS PAST QUESTIONS The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes? 8:15 4:5 6:125 8:125 86 / 100 Category: MATHEMATICS PAST QUESTIONS 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 44 degree 46 degree 36 degree 54 degree 87 / 100 Category: MATHEMATICS PAST QUESTIONS A man made a loss of 15% by selling an article for N595. Find the cost price of the article N700 N600 892.50 N984.25 88 / 100 Category: MATHEMATICS PAST QUESTIONS 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) 7.5cm 7.0cm 3.5cm 3.0cm 89 / 100 Category: MATHEMATICS PAST QUESTIONS The wheel of a tractor has diameter 1.4m. What distance does it cover in 100 complete revolutions? (Take Pi = 22/7) 280m 220m 440m 140m 90 / 100 Category: MATHEMATICS PAST QUESTIONS If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z 3:5:4 15:28:84 5:4:7 12:20:35 91 / 100 Category: MATHEMATICS PAST QUESTIONS The lengths of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector 306 degrees 252 degrees 234 degrees 246 degrees 92 / 100 Category: MATHEMATICS PAST QUESTIONS Divide 3.6721 by 4 1.4180 0.9180 1.1680 1.1860 93 / 100 Category: MATHEMATICS PAST QUESTIONS 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 N43, 000 N42, 200 N43, 200.00 94 / 100 Category: MATHEMATICS PAST QUESTIONS What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 77 cm square 374 cm square 297 cm square 227 cm square 95 / 100 Category: MATHEMATICS PAST QUESTIONS 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 96 / 100 Category: MATHEMATICS PAST QUESTIONS A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord 27.86cm 16cm 32cm 48cm 97 / 100 Category: MATHEMATICS PAST QUESTIONS 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 3.611m 7.962m 4.792m 98 / 100 Category: MATHEMATICS PAST QUESTIONS 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? 4 3 6 2 99 / 100 Category: MATHEMATICS PAST QUESTIONS 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) 8cm 9cm 14cm 7cm 100 / 100 Category: MATHEMATICS PAST QUESTIONS 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 80cm 0.80cm 8cm Your score is The average score is 8% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Send feedback Practice also: SS 3 LITERATURE PAST QUESTIONS (WAEC/NECO) SS 3 GOVERNMENT PAST QUESTIONS (WAEC/NECO) SS 3 GEOGRAPHY PAST QUESTIONS (WAEC/NECO) SS 3 FINANCIAL ACCOUNTING PAST QUESTIONS (WAEC/NECO) SS 3 ENGLISH LANGUAGE PAST QUESTIONS (WAEC/NECO)