MATHEMATICS PAST QUESTIONS

MATHEMATICS PAST QUESTIONS

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Created by MATHEMATICS PAST QUESTIONS 1Mr. Samuel

SSCE/NECO/GCE (MATHEMATICS)

MATHEMATICS PAST QUESTIONS 2

MATHEMATICS PAST QUESTIONS

Attempt 60 questions within 2 hours.

Goodluck

1 / 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

2 / 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?

3 / 60

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

4 / 60

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

5 / 60

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

6 / 60

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

7 / 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

8 / 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?

9 / 60

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

10 / 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

11 / 60

If the volume of a cube is 343cm cube, find the length of its side

12 / 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)

13 / 60

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

14 / 60

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

15 / 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

16 / 60

There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?

17 / 60

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

18 / 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

19 / 60

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

20 / 60

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

21 / 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?

22 / 60

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

23 / 60

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

24 / 60

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

25 / 60

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

26 / 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.

27 / 60

If x% of 240 equals 12, find x:

28 / 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)

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

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

31 / 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

32 / 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)

33 / 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?

34 / 60

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

35 / 60

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

36 / 60

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

37 / 60

The lengths of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector

38 / 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.

39 / 60

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

40 / 60

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

41 / 60

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

42 / 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?

43 / 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?

44 / 60

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

45 / 60

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

46 / 60

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

47 / 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)

48 / 60

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

49 / 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)

50 / 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?

51 / 60

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

52 / 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.

53 / 60

A survey shows that 228% of all the men in a village wear selected at random in the village wear size 9 shoes?

54 / 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

55 / 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?

56 / 60

A boy estimated his transport fare for a journey as N 190 instead of N200. Find the percentage error in his estimate

57 / 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

58 / 60

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

59 / 60

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

60 / 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.

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