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


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)

2 / 60

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

3 / 60

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


4 / 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?

5 / 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?

6 / 60


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

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 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?

9 / 60

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

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

12 / 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.

13 / 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

14 / 60

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

15 / 60

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

16 / 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

17 / 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?

18 / 60

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

19 / 60

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

20 / 60

Subtract (-y+3x+5z) from (4y – x – 2z)

21 / 60

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

22 / 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.

23 / 60

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

24 / 60

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

25 / 60

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

26 / 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

27 / 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

28 / 60

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

29 / 60

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

30 / 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?

31 / 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

32 / 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

33 / 60

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

34 / 60

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

35 / 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

36 / 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

37 / 60

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

38 / 60

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

39 / 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

40 / 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)

41 / 60

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

42 / 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

43 / 60

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

44 / 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?

45 / 60

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

46 / 60

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

47 / 60

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

48 / 60

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

49 / 60

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

50 / 60

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

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

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

53 / 60

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

54 / 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)

55 / 60

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

56 / 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

57 / 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?

58 / 60

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

59 / 60

Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office?

60 / 60

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

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