MATHEMATICS PAST QUESTIONS

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Created by Mr. Samuel

SSCE/NECO/GCE (MATHEMATICS)

MATHEMATICS PAST QUESTIONS

Attempt 60 questions within 2 hours.

Goodluck

1 / 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 / 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 = 1000cm3)

3 / 60

A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangle floor. Calculate the area of the floor.

4 / 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

5 / 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.

6 / 60

A trader makes a loss of 15% when selling an article. Find the ration, selling price: cost price

7 / 60

A man bought 220 mangoes at N5x. He sold each for 3x kobo and made again of N8. Find the value of x.

8 / 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

9 / 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?

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)

11 / 60

A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord

12 / 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

13 / 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

14 / 60

The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary

15 / 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?

16 / 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.

17 / 60

The interior angle of a regular polygon is twice the exterior angle. How many sides have the polygon?

18 / 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.

19 / 60

The sum of the 1st and 2nd terms of an AP is 4 and the 10th term is 19. Find the sum of the 5th and 6th terms

20 / 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

21 / 60

What is the height 10cm and diameter 7cm? (Take Pi = 22/7)

22 / 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

23 / 60

Two solid spheres have volumes 250cm3 and 128cm3 respectively. Find the ratio of their radii

24 / 60

If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z

25 / 60

A boy walks 800m in 20 minutes. Calculate his average speed in km per hour

26 / 60

Which of the following figures have one line of symmetry only? (I) Isosceles triangle (II) Rhombus (III) Kite

27 / 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?

28 / 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

29 / 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?

30 / 60

The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?

31 / 60

What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take Pi = 22/7)

32 / 60

Mr. John traveled from Aba to Ikorodu a distance of 720km in 8 hours. What will be his speed in m/s?

33 / 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)

34 / 60

Divide the sum of 8,6,7,2,0,4,7,2,3 by their mean

35 / 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

36 / 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

37 / 60

Solve the inequality 2x + 3 < 5x

38 / 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?

39 / 60

Find the average of the first four prime numbers greater than 10

40 / 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?

41 / 60

If 8x – 4 = 6x – 10, find the value of 5x

42 / 60

Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24

43 / 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)

44 / 60

Correct 0.04945 to two significant figures

45 / 60

From a point P, R is 5km due west and 12km due south. Find the distance between P and R.

46 / 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

47 / 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?

48 / 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

49 / 60

The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase

50 / 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?

51 / 60

Ladi sold a car for N84, 000 at a loss of 4%. How much did Ladi buy the car?

52 / 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?

53 / 60

Given that 2P – m = 6 and 2p + 4m = 1. Find the value of (4p + 3m)

54 / 60

If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first four terms

55 / 60

Divide 3.6721 by 4

56 / 60

Solve the simultaneous equations: x + y = 2 and 3x – 2y = 1

57 / 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?

58 / 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

59 / 60

Three quarters of a number added to two and a half of that number gives 13. Find the missing number.

60 / 60

Find the mean deviation of 6, 7, 8, 9, 10