Home » Exams Past Questions (Senior Classes) » MATHEMATICS PAST QUESTIONSMATHEMATICS PAST QUESTIONS School Portal NGExams Past Questions (Senior Classes) Post Views: 614 /60 68 Created by Mr. SamuelSSCE/NECO/GCE (MATHEMATICS) MATHEMATICS PAST QUESTIONS Attempt 60 questions within 2 hours.Goodluck 1 / 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 32 degree 60 degree 45 degree 2 / 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 48cm cube 120cm cube 96cm cube 60cm cube 3 / 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 4 / 60 If the volume of a cube is 343cm cube, find the length of its side 7cm 3cm 6cm 8cm 5 / 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 5 1 6 4 6 / 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 7 / 60 If 30% of y is equal to x, what, in terms of x is 30% of 3y? x/3 3x x x/9 8 / 60 The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes? 4:5 8:15 8:125 6:125 9 / 60 A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord 24cm 16cm 18cm 51cm 10 / 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 point of intersection of the two lines the bisector of the angles formed by the lines 11 / 60 If x% of 240 equals 12, find x: x = 7 x = 1 x = 5 x =3 12 / 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 1/10 3/10 9/20 13 / 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) 4.6cm 8cm 16cm 2.3cm 14 / 60 The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase 15% 15.6% 18.5% 10% 15 / 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 = - 2, Q = 3 (a) P = 1, Q = 3 P = 3, Q = - 2 P = 1, Q = 2 16 / 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 16/625 13/25 36/625 12/25 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) 7.5cm 3.0cm 7.0cm 3.5cm 18 / 60 Two solid spheres have volumes 250cm^{3} and 128cm^{3} respectively. Find the ratio of their radii 5:4 25:16 2:1 125:64 19 / 60 Ladi sold a car for N84, 000 at a loss of 4%. How much did Ladi buy the car? N80, 640 N87, 360 N80, 500 N87, 500 20 / 60 Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7) 43.96cm 149.92cm 44.00cm 224.92cm 21 / 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 37 degrees 35 degrees 36 degrees 22 / 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 45 years 74 years 48 years 60 years 23 / 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) 14.67cm 42.67cm 513.33cm 101.33cm 24 / 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 a straight line joining A and P the perpendicular bisector of AP the triangle with centre P a circle with centre A 25 / 60 A fair die is tossed once. What is the probability of obtaining neither 5 nor 2? 1/6 5/6 ½ 2/3 26 / 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 27 / 60 What is the height 10cm and diameter 7cm? (Take Pi = 22/7) 227 cm square 297 cm square 77 cm square 374 cm square 28 / 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 54 degree 44 degree 46 degree 36 degree 29 / 60 A man made a loss of 15% by selling an article for N595. Find the cost price of the article N600 N700 N984.25 892.50 30 / 60 A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km? 35 minutes 45 minutes 90 minutes 40 minutes 31 / 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? N43, 000 N42, 200 N43, 200.00 N40,000.00 32 / 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 21cm square 40cm square 80cm square 33 / 60 From a point P, R is 5km due west and 12km due south. Find the distance between P and R. 5km 12km 13km 17km 34 / 60 A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains? 5/6 1/6 5/12 7/12 35 / 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% 36 / 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 1,600m 400.00m 692.82m 37 / 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? 3.611m 4.792m 7.962m 4.521m 38 / 60 A regular polygon has 9 sides. What is the size of one of its exterior angles? 20 degree 140 degree 90 degree 40 degree 39 / 60 If two triangles are similar, which of the following is true? Their corresponding sides are equal perimeters are equal corresponding angles are equal corresponding altitudes are equal 40 / 60 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 225 m square 57m square 30 m square 41 / 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? 1:5 4:5 1:4 3:4 42 / 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 as the square of r p varies inversely as the square of r p varies as the square root of r 43 / 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 44 / 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? ¼ 3/20 9/10 3/5 45 / 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 N15.00 N7.50 N10.00 46 / 60 A pyramid of volume 120cm cube has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid 12cm 5cm 9cm 15cm 47 / 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 48 / 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? N16, 200 N12, 000 N8,000 N14, 200 49 / 60 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 50 / 60 A fair coin is tossed three times. Find the probability of getting two heads and one tail. 1/4 ½ 1/8 3/8 51 / 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 8cm 0.08cm 0.80cm 80cm 52 / 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 226 degrees 122 degrees 190 degrees 53 / 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 4.0 cm 2.5cm 54 / 60 The interior angle of a regular polygon is twice the exterior angle. How many sides have the polygon? 6 8 9 5 55 / 60 If tan y = 0.404, where y is acute, find cos 2y 0.719 0.927 0.035 0.808 56 / 60 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 57 / 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? 3 2 4 6 58 / 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 59 / 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? N80, 000 N40,000 N20,000 N10,000 60 / 60 Which of the following figures have one line of symmetry only? (I) Isosceles triangle (II) Rhombus (III) Kite I, II and III II and III only I and III only I and II only 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 SUBSCRIBE BELOW FOR A GIVEAWAY First name or full name Email More Suggestions Menu ↓↓↓ Home Subjects Past Questions Topics Scholarships Search Box Tags:MathematicsPast Questions (SSS) previousRUSTING OF IRONnextTIME Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Name * Email * Website Comment *