MATHEMATICS NECO (BECE) MOCK EXAMINATION

 

 

 

  • The sum of angles of a polygon is 27000. How many sides has the polygon?

    • 13

    • 14

    • 15

    • 17

    • 16

 

  • Simplify 8a2​​ x 3a-4

    • 8a6

    • 24a-6

    • 24a6

    • 24a-2

    • 24a-4

 

  • Calculate the curved surface area of a cylindrical can of radius 29cm and height 86cm. Correct to 2​​ significant figure.​​ (take​​ π=227)

    • 16 000cm2

    • 10 000cm2

    • 12 000cm2

    • 1 600cm2

    • 1​​ 200cm2

 

  • A rectangle​​ measures 8cm by 15cm. Calculate the length of one of its diagonals.

    • 17cm

    • 22cm

    • 20cm

    • 18cm

    • 15cm

 

  • Which of the following is a Pythagorean triple?

    • (10, 24, 28)

  • (12, 29,​​ 3)

  • (14, 49, 50)

  • (16, 30, 34)

  • (10, 32, 34)

 

  • Use the value ​​ 227 ​​​​ for​​ π​​ to find the total surface area of a closed cylinder of radius 7cm and height 30cm.

  • 1628cm2

  • 1000cm2

  • 1200cm2

  • 1600cm2

  • 160cm2

 

  • Take​​ π​​ to be 3.1 and calculate the volume of a cylinder of height​​ 10cm and​​ radius 4cm.

    • 296cm3

    • 400cm3

    • 496cm3

    • D.596cm3

    • 4060cm3

 

  • The volume of a cone of height​​ h​​ and base radius​​ r​​ is given by:

    • 13​​ πrh

    • 13​​ πr2h

    • πrh

    • πr2h

    • 14​​ πrh

 

  • Bola is 12 years old and Tunde is 8. They share 15 oranges in the ratio of their ages. How many oranges will Bola receive?

    • 12 oranges

    • 9 oranges

    • 8 oranges

    • 6 oranges

    • 5 oranges

 

  • A card is picked at random from a pack of 52 playing cards. The probability that it is a 6 is ……….

    • 152​​ 

    • 113

    • 310

    • D.126

    • 12

 

  • A class contains 18 girls and 12 boys. A student is chosen at random from the class. What is the probability that the student is a girl?

    • 35

    • 53

    • 13

    • 25

    • ¾

 

  • Calculate the total surface area of a solid cone of slant height 10cm and base diameter

10cm. Use the value 3.14 for​​ π.

 

    • 235.5cm2

    • 233.5cm2

    • 230.0cm2

    • 135.5cm2

    • 235.0cm2

 

  • Solve​​ 3(3x  1) = 4(x + 3).

    • 3

    • -3

    • 2

    • 1

    • -2

 

  • Simplify​​ ​​ 4a​​ +​​ b

    • 4 - aba

    • 4+aba

    • 4+abab

    • 4+aab

    • 4a+abb

  • Remove the bracket and simplify 3a + 2 (a + b)

    • 5a +2b

    • 3a + 2b

    • a + 2b

    • 5a – 2b

    • 6a - 2

 

  • Simplify 102​​ x 105

    • 10-2

    • 10-3

    • 107

    • 10-7

    • 10-4

 

  • Write 0.000 263 in standard form.

    • 2.63 x 10-6​​ 

    • 2.63 x 10-5

    • 2.63 x 10-4

    • 2.63 x 104

    • 2.63 x 10-2

 

  • Find the sum of angles of a hexagon.

    • 700o

    • 620o

    • 720o

    • 360o

    • 260o

 

  • Solve​​ 15 = 3(x  3)

    • 4

    • 5

    • 7

    • 8

    • 4

 

  • Factorise​​ pmq + amb

    • m​​ (pq​​ + qb)

    • pq​​ (m​​ + ab)

    • m​​ (pq​​ +​​ ab)

    • p​​ (pq​​ +​​ ab)

    • p​​ (p​​ +​​ ab)

 

  • Statistics show that four out of every 100 new radios break down within the first year. What is the probability of buying a radio which does not break down in the first year?​​ 

    • 125

    • 425

    • 2425

    • 325

    • 37

 

  • Twenty playing cards are numbered from 1 to 20. A card is chosen at random. What is the probability that it does​​ not​​ have the digit 1 in its number?

    • 920

    • 119

    • 1120

    • 1920

    • 34

  • A ladder 9.6m​​ long leans against a wall. It touches the wall at a point 9m​​ above the ground. Find the distance of the foot of the ladder from the wall.

    • 3.0m

    • 3.5m

    • 33m

    • 3.3

    • 5.0cm

 

  • The diagonals of rhombus measure 8cm by 6cm. what is the length of a side of the rhombus?

    • 10cm

    • 8cm

    • 7cm

    • 5cm

    • 6cm

 

  • The bearing of ​​ X​​ from​​ Y​​ is 196o. The bearing of​​ Y​​ from​​ X​​ is:

    • 016o

    • 074o

    • 194o

    • 164o

    • 0250

  • In an exam 154 out of 175 candidates passed. What percentage failed?

    • 6​​ 27%

    • 12%

    • 13711%

    • 88%

    • 78%

 

  • How much interest does N400 make in 5 years at 7% per annum?

    • N140

    • N20

    • N28

    • N35

    • N45

 

  • ABC is a triangle in which angle B = 90o.​​ ​​ Calculate the length of the third side, AB if AC= 29m,​​ BC= 21m

    • 25m

    • 22m

    • 18m

    • 23m

    • 20m

 

  • Which of the following is a Pythagorean triple

​​ I - (18, 24, 30),  ​​ ​​ ​​ ​​ ​​ ​​​​ II - ​​ ​​​​ (14, 24, 28)III - (30, 40, 50)?

    • I only​​ 

    • II only

    • I and II only

    • I and III only

    • I, II and III

 

 

  • Find the value of​​ y

 

 

 

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 26cm

 ​​ ​​ ​​ ​​​​   ​​​​ 24cm

 

 

 

 

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​   

​​ y

 

    • 100cm

    • 25cm

    • 28cm

    • 10cm

    • 11cm

 

  • Express 410 000 in standard form​​ 

    • 4.1 x 10-5

    • 4.1 x 105

    • 4.0 x 105

    • 4.1 x 106

    • 4.1 x 104

 

  • Simplify 2a-1​​ x 3a2

    • 3a2

    • 6a2

    • 32a

    • 6a

    • 4a

 

  • By selling a house for $69 million, an agent makes a profit of 15%. How much did the house cost?

    • $66 million

    • $60 million

    • $62 million​​ 

    • $63 million

    • $61 million

 

  • Solve 9 – 4x =​​ 11 – 7x

    • 32

    • 23

    • ​​ 53

    • 12

    • 13

 

  • Find the square root of 1916​​ .

    • 34

    • 94

    • 45

    • 54

    • 12

 

 

  • Calculate the size of each angle of a regular decagon.

    • 1440o

    • 10o

    • 1400o

    • 144o

    • 18000

 

  • Find the smallest number by which 432 must be multiplied so that its product is a perfect square.

    • 1

    • 2

    • 3

    • 4

    • 5

 

  • Find​​ the multiplicative inverse of 2π.

    • 1π ​​​​ 

    • 12π ​​​​ 

    • π2 ​​ ​​ ​​ ​​ ​​​​ 

    • π2π ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 

    • 12

  • Solve​​ for a,​​ if​​  -36 = 9a

    • -4

    • 4

    • 18

    • -4a

    • -18

 

  • Solve​​ for x when​​ 112x=514

    • 212

    • 312

    • 3​​ 23

    • 412

    • 5

 

  • Solve​​ for​​ x​​ - 3x5= - 910

    • 112

    • 23

    • 2  ​​​​ 

    • - 112

    • -214

 

 

  • It is known that one in 40 of the camera sold by a certain trader is faulty. If one camera is taken at random from a large number, what is the probability of it being a good one?

    • 140​​ 

    • 139

    • 3940

    • 1

    • 0

 

  • Express 2.467​​ x 10-3​​ in ordinary​​ form.

    • 0.0002467

    • 0.002467

    • 0.02467

    • 0.2467

    • 0.00002467

 

  • What is the additive inverse of +6?

    •  16 ​​ ​​ ​​ ​​ ​​​​ 

    • 16 ​​ ​​ ​​ ​​ ​​​​ 

    • 6

    • – 6

    • ±6

 

  • Simplify (-8)​​ ÷​​ (- 2)

    • – 4

    • 82 ​​ ​​ ​​ ​​ ​​​​ 

    • 4

    • – 8

    • 8

 

  • Expand​​ (u​​ +​​ 2v)​​ (u​​ + 3v)

    • u2+ 2uv + 6v2

    • u2​​ +5uv + 6v2

    • u2​​ + 5u2v2​​ + 6v2

    • u2​​ + 5uv + 6v

    • u2​​ + 5u3v2 + 6v3

 

  • Simplify ​​ - 5a  15a2 ​​ ​​ ​​ ​​ ​​​​ 

    • 5a3

    • -​​ 23

    • -2

    • -​​ a3

    • 2

 

  • Solve​​ 34m =​​ 1544

    • 140

    • 23

    • 511

    • 12

    • 1

 

  • Solve 2r​​ ​​ 5r + 6

    • r ​​ ​​ 11

    • r​​  -2

    • r​​ 2​​ 

    • r​​  -2

    • r​​  2

 

  • A student is picked at random from a class containing 17 boys and 13 girls. What is the probability that the student is a girl?​​ 

    • 1317

    • 113

    • 1330

    • 1730

    • ½​​ 

 

  • Which of the following is equivalent to 7.50am in a 24hour clock?

    • 1950

    • 1610

    • 1200

    • 0750

    • II05

 

  • The triangle below is an equilateral triangle. Find the value of​​ xy

 

    • 8x+13y

      5x+9

      12

    • 16

    • 24

    • 32

    • 41

      3x+15

 

 

 

  • Find the value of​​ x​​ in the figure below

x

11m

16m

 

 

 

 

  • 7√3m

  • 15.65m

  • 12.00m

  • 7.50m

  • 6.7 m

 

  • Find the value of​​ x​​ in the figure below to the nearest whole number

x

 

300

20cm

 

  • 10cm

  • 16cm

  • 20cm

  • 11.55cm

  • 2.5 cm

 

  • The angle between the length of a rectangle and its diagonal is 600. If the diagonal is 10cm long. Find the length of the rectangle.

    • 8.66cm

    • 45.89cm

    • 22.13cm

    • 9.3cm

    • 5.5cm

 

  • The angle of elevation of a top of a tree from certain point on the ground is 450. If the tree is 15m high, how far is the point from the bottom of the tree?

    • 12cm

    • 15cm

    • 22cm

    • 19cm

    • 43cm

 

  • The angle of elevation of the top of a tower from a point 100m away is 450, what is the height of the tower to the nearest metres?

    • 100cm

    • 25cm

    • 12cm

    • 29cm

    • 4Ocm

 

  • A ladder 15m long rests against a vertical wall. If the foot of the ladder is 12m away from the wall, how far up the wall is the ladder?

    • 12cm

    • 15cm

    • 22cm

    • 81cm

    • 11cm

 

  • Convert the surveyor’s bearing of 1450​​ to a compass bearing

    • S55E

    • S45W

    • S55W

    • N81E

    • S57W

  • The bearing of P from Q is 3000, what is the bearing of Q from P

    • 1200

    • 600

    • 800

    • 900

    • 580

 

 

 

 

 

 

 

 

 

 

 

 

 

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