# MATHEMATICS NECO (BECE) MOCK EXAMINATION

## MATHEMATICS NECO (BECE) MOCK EXAMINATION

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

MARKING GUIDE

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