 # 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

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?

2 / 60

If tan y = 0.404, where y is acute, find cos 2y

3 / 60

Solve the inequality 2x + 3 < 5x

4 / 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

5 / 60

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

6 / 60

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

7 / 60

Which of the following is not a factor of 2P2 – 2?

8 / 60

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

9 / 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

10 / 60

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

11 / 60

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

12 / 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

13 / 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.

14 / 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)

15 / 60

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

16 / 60

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

17 / 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?

18 / 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

19 / 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

20 / 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

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

22 / 60

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

23 / 60

A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord

24 / 60

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

25 / 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?

26 / 60

A man made a loss of 15% by selling an article for N595. Find the cost price of the article

27 / 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?

28 / 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?

29 / 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?

30 / 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)

31 / 60

If x% of 240 equals 12, find x:

32 / 60

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

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.

34 / 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?

35 / 60

Divide 3.6721 by 4

36 / 60

A pyramid of volume 120cm cube has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid

37 / 60

If 30% of y is equal to x, what, in terms of x is 30% of 3y?

38 / 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

39 / 60

A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains?

40 / 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

41 / 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

42 / 60

The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216cm2, find the length of the basic.

43 / 60

A house bought for N 100,000 was later auctioned for N80, 000. Find the loss percent.

44 / 60

I am x years old and my brother is 3 years older. How old was my brother last year?

45 / 60

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

46 / 60

Which of the following correctly expresses 48 as a product of prime factors?

47 / 60

A fair die is tossed once. What is the probability of obtaining neither 5 nor 2?

48 / 60

What is the number whose logarithm to base 10 is 3.4771?

49 / 60

The wheel of a tractor has diameter 1.4m. What distance does it cover in 100 complete revolutions? (Take Pi = 22/7)

50 / 60

Find the next two terms of the sequence 1, 5, 14, 30, 50…

51 / 60

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

52 / 60

A regular polygon has 9 sides. What is the size of one of its exterior angles?

53 / 60

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

54 / 60

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

55 / 60

Tow numbers 24 and 31 are equal in value when converted to base ten. Find the equation connecting x and y.

56 / 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

57 / 60

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

58 / 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)

59 / 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

60 / 60

A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?