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SSCE/NECO/GCE (MATHEMATICS)

MATHEMATICS PAST QUESTIONS APP (SSCE/NECO/NABTEB/GCE) 1

MATHEMATICS PAST QUESTIONS SSCE APP

These are Mathematics past questions Attempt as many questions as possible. Questions are drawn from pool of questions.

 

Goodluck!

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Category: MATHEMATICS PAST QUESTIONS

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.

2 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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?

4 / 100

Category: MATHEMATICS PAST QUESTIONS

Correct 0.04945 to two significant figures

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Category: MATHEMATICS PAST QUESTIONS

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

6 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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?

12 / 100

Category: MATHEMATICS PAST QUESTIONS

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

13 / 100

Category: MATHEMATICS PAST QUESTIONS

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

14 / 100

Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

If the simple interest on a sum of money invested at 3% per annum for 2 ½ years is N123, find the principal

17 / 100

Category: MATHEMATICS PAST QUESTIONS

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

18 / 100

Category: MATHEMATICS PAST QUESTIONS

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)

19 / 100

Category: MATHEMATICS PAST QUESTIONS

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?

20 / 100

Category: MATHEMATICS PAST QUESTIONS

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

21 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: Uncategorized

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

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Category: MATHEMATICS PAST QUESTIONS

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)

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Category: MATHEMATICS PAST QUESTIONS

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

25 / 100

Category: MATHEMATICS PAST QUESTIONS

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

26 / 100

Category: MATHEMATICS PAST QUESTIONS

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?

27 / 100

Category: MATHEMATICS PAST QUESTIONS

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

28 / 100

Category: MATHEMATICS PAST QUESTIONS

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

29 / 100

Category: MATHEMATICS PAST QUESTIONS

Given that Y = PX + Q and Y=5 when X=3, while Y=4 when X=2, find the values of P and Q.

30 / 100

Category: MATHEMATICS PAST QUESTIONS

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

31 / 100

Category: MATHEMATICS PAST QUESTIONS

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

32 / 100

Category: MATHEMATICS PAST QUESTIONS

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?

33 / 100

Category: MATHEMATICS PAST QUESTIONS

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

34 / 100

Category: MATHEMATICS PAST QUESTIONS

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

35 / 100

Category: MATHEMATICS PAST QUESTIONS

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

36 / 100

Category: MATHEMATICS PAST QUESTIONS

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

37 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

39 / 100

Category: MATHEMATICS PAST QUESTIONS

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?

40 / 100

Category: MATHEMATICS PAST QUESTIONS

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

41 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

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.

44 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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)

46 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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.

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

51 / 100

Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

55 / 100

Category: MATHEMATICS PAST QUESTIONS

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

56 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

58 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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?

62 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

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?

65 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

The probabilities of a boy passing English and Mathematics test are x and y respectively. Find the probability of the boy failing both tests

67 / 100

Category: MATHEMATICS PAST QUESTIONS

A man is four times as old as his son. The difference between their ages is 36 years. Find the sum of their ages

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Category: MATHEMATICS PAST QUESTIONS

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

69 / 100

Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

The volume of a cylinder is 1200 cm cube and the area of its base is 150cm cube. Find the height of the cylinder

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

75 / 100

Category: MATHEMATICS PAST QUESTIONS

If x% of 240 equals 12, find x:

76 / 100

Category: MATHEMATICS PAST QUESTIONS

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)

77 / 100

Category: MATHEMATICS PAST QUESTIONS

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

78 / 100

Category: MATHEMATICS PAST QUESTIONS

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

79 / 100

Category: MATHEMATICS PAST QUESTIONS

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

80 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

82 / 100

Category: MATHEMATICS PAST QUESTIONS

Solve the inequality 2x + 3 < 5x

83 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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?

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Category: MATHEMATICS PAST QUESTIONS

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)

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Category: MATHEMATICS PAST QUESTIONS

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

87 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

The probabilities that John and James pass an examination are ¾ and 3/5 respectively. Find the probability of both boys failing the examination

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Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

91 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

93 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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Category: MATHEMATICS PAST QUESTIONS

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

95 / 100

Category: MATHEMATICS PAST QUESTIONS

Divide 3.6721 by 4

96 / 100

Category: MATHEMATICS PAST QUESTIONS

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)

97 / 100

Category: MATHEMATICS PAST QUESTIONS

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

98 / 100

Category: MATHEMATICS PAST QUESTIONS

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

99 / 100

Category: MATHEMATICS PAST QUESTIONS

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

100 / 100

Category: MATHEMATICS PAST QUESTIONS

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

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