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# MATHEMATICS PAST QUESTIONS

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Created by Samuel Okeke

SSCE/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 30o. If TU = 54m, how high is T above the horizontal ground?

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?

3 / 60

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

4 / 60

Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7)

5 / 60

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

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

7 / 60

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

8 / 60

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

9 / 60

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

10 / 60

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

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

12 / 60

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

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?

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

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?

16 / 60

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

17 / 60

Correct 0.04945 to two significant figures

18 / 60

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

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

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?

21 / 60

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

22 / 60

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

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)

24 / 60

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

25 / 60

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

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

27 / 60

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

29 / 60

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

30 / 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

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?

32 / 60

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

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

If two triangles are similar, which of the following is true? Their

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

36 / 60

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

37 / 60

Solve the inequality 2x + 3 < 5x

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.

39 / 60

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

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

41 / 60

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

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 = 1000cm3)

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?

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?

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.

46 / 60

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

47 / 60

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

48 / 60

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

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

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.

51 / 60

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

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

53 / 60

If x% of 240 equals 12, find x:

54 / 60

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

55 / 60

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

56 / 60

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

57 / 60

A fair coin is tossed three times. Find the probability of getting two heads and one tail.

58 / 60

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

59 / 60

An arc of a circle of radius 14cm subtends angle 300o at the centre. Find the perimeter of the sector formed by the arc (Take Pi=22/7)

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

The average score is 16%

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