SSCE (WAEC and NECO) Practice Tests - Mathematics - SSCE (WAEC & NECO), Preparatory Portal for SS1, SS2 and SS3

SSCE (WAEC and NECO) Practice Tests – Mathematics

Hello and Welcome to SSCE (WAEC and NECO) Online Assessment Test - Mathematics

1. You will attempt 50 randomly generated objective questions for 40 minutes.
2. Don't guess answers. Leave answer blank if not sure. Incorrect answers attracts -1 (negative one) and it is cumulative.
3. If time allowed elapsed, your quiz ends immediately and scores will displayed and ranked.
4. Your performance in each of the question attempted alongside step-by-step solutions to attempted questions will be displayed on the screen at the end of the assessment.
5. Fill the form below and Click on the Next button to Begin

Full Name (Surname First):

Name of School:

Location

[ Geometry ]

[ Geometry ]

In the diagram,

PQRST is a regular polygon with sides QR and YS produced to meet at V. Find the size of angle RVS.

A. 36^o
B. 54^o
C. 60^o
D. 72^o

[ Algebra ]

[ Statistics ]

A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours.

A. 8/15
B. 13/25
C. 11/15
D. 13/15

[ Algebra ]

A. 3
B. 2
C. 1
D. 0

[ Geometry ]

In ΔXYZ, |XY| = 8cm, |YZ| =10cm and |XZ| = 6cm. Which of these relations is true?

A. |XY| + |YZ| = |XZ|
B. |XY| - |YZ| = |XZ|
C. |XZ|² = |YZ|² - |XY|²
D. |YZ|² = |XZ|² - |XY|²

[ Geometry ]

The curved surface area of a cylindrical tin is 704cm³. If the radius of its base is 8cm, find the height. [Take π = 22/7 ]

A. 14 cm
B. 9 cm
C. 8 cm
D. 7 cm

[ Algebra ]

Which of the following lines represent the solution of the inequality 7x < 9x - 4?

[ Number & Numeration ]

10.

[ Number & Numeration ]

Multiply 2.7 x 10^-4 by 6.3 x 10⁶ and leave your answer in standard form.

A. 1.7 x 10³
B. 1.70 x 10³
C. 1.701 x 10³
D. 17.01 x 10³

11.

[ Geometry ]

A side and a diagonal of a rhombus are 10cm and 12cm respectively. Find its area.

A. 20cm²
B. 24cm²
C. 48cm²
D. 96cm²

12.

[ Geometry ]

The diagram is a circle of radius |OQ| = 4cm. TR is a tangent to the circle at R. If angle TPO = 120^o, find |PQ|.

A. 2.32cm
B. 1.84cm
C. 0.62cm
D. 0.26cm

13.

[ Algebra ]

14.

[ Number & Numeration ]

In 1995, the enrollments of two schools X and Y were 1,050 and 1,190 respectively. Find the ratio of the enrollments of X to Y.

A. 50:11
B. 15:17
C. 13:55
D. 12:11

15.

[ Geometry ]

A cube and a cuboid have the same base area. The volume of the cube is 64 cm³ while that of the cuboid is 80 cm³.

A. 2 cm
B. 3 cm
C. 5 cm
D. 6 cm

16.

[ Statistics ]

Which of the following is not a probability of Mary scoring 85% in a mathematics test?

A. 0.15
B. 0.57
C. 0.94
D. 1.01

17.

[ Statistics ]

The bar chart shows the frequency distribution of marks scored by students in a class test.

How many students are in the class?

A. 10
B. 24
C. 25
D. 30

18.

[ Geometry ]

A kite flies on a taut string of length 50 m inclined at an angle of to the horizontal ground. The height of the kite above the ground is _____

A. 50 tan36^o
B. 50 sin54^o
C. 50 tan54^o
D. 50 sin36^o

19.

[ Geometry ]

If cos (x + 40^o) = 0.0872, what is the value of x?

A. 85^o
B. 75^o
C. 65^o
D. 45^o

20.

[ Geometry ]

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

A. 15
B. 12
C. 9
D. 6

21.

[ Algebra ]

If y varies directly as the square root of (x+1) and y = 6 when x = 3, find x when y = 9.

A. 8
B. 7
C. 6
D. 5

22.

[ Number & Numeration ]

The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used.

A. 1 : 1,000,000
B. 1 : 500,000
C. 1 : 100,000
D. 1 : 10,000

23.

[ Geometry ]

A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume.

A. 344m³
B. 448m³
C. 632m³
D. 840m³

24.

[ Number & Numeration ]

25.

[ Algebra ]

The graph of the relation y = x² + 2x + k passes through the point (2,0). Find the value of k.

A. 0
B. -2
C. -4
D. -8

26.

[ Geometry ]

In the diagram, MN, PQ, and RS are three intersecting straight lines. Which of the following statement(s) is/are true?

I. t = y
II. x + y + z + m = 180^o
III. x + m + n = 180^o
IV. x + n = m + z

A. I and IV only
B. II only
C. III only
D. IV only

27.

[ Number & Numeration ]

The nth term of a sequence is T_n = 5 + (n - 1)². Evaluate T₄ - T₆

A. 30
B. 16
C. -16
D. -30

28.

[ Algebra ]

If x + y = 2y - x + 1 = 5, find the value of x.

A. 3
B. 2
C. 1
D. -1

29.

[ Statistics ]

The graph is that of 2x² - 5x - 3.

For what value of x will y be negative?

A. -½ < x < 3
B. -½ < x < 3
C. -½ < x < 3
D. -½ < x < 3

30.

[ Number & Numeration ]

If U_n = n(n² + 1), evaluate U₅ – U₄

A. 18
B. 56
C. 62
D. 82

31.

[ Statistics ]

The bar chart shows the frequency distribution of marks scored by students in a class test.

What is the median of the distribution?

A. 2
B. 4
C. 6
D. 8

32.

[ Geometry ]

The positions of three ships P, Q and R at sea are illustrated in the diagram. The arrows indicate the North direction. The bearing of Q from P is 050^o and angle PQR = 72^o. Calculate the bearing of R from Q.

A. 130^o
B. 158^o
C. 222^o
D. 252^o

33.

[ Number & Numeration ]

A sale boy gave a change of N68 instead of N72. Calculate his percentage error.

34.

[ Number & Numeration ]

When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number.

A. 11.
B. 15/2
C. 5.
D. 5/2

35.

[ Geometry ]

A sector of a circle which subtends angle 172^o at the center of the circle has a perimeter of 600 cm. Find, correct to the nearest cm, the radius of the circle. [Take π = 22/7].

A. 120 cm
B. 116 cm
C. 107 cm
D. 100 cm

36.

[ Geometry ]

In the diagram, O is the center of the circle PQRS and angle PSR = 86^o. If angle POR = x^o, find x.

A. 274
B. 172
C. 129
D. 86

37.

[ Geometry ]

What is the focus of the point X which moves relative to two fixed points P and M on a plane such that angle PXM = 30^o?

A. The bisector of the straight line joining and .
B. An arc of a circle with as a chord.
C. The bisector of angle
D. A circle center and radius .

38.

[ Number & Numeration ]

39.

[ Number & Numeration ]

If 9^(2-x) = 3, find x

A. 1
B. 3/2
C. 2
D. 5/2

40.

[ Geometry ]

The slant height of a cone is 5cm and the radius of it base is 3cm. Find, correct to the nearest whole number, the volume of the cone. [Take π = 22/7 ].

A. 48cm³
B. 47cm³
C. 38cm³
D. 13cm³

41.

[ Geometry ]

If Sin x = 5/13 and 0^o < x< 90^o, fins the value of (Cos x - Tan x).

A. 7/13
B. 12/13
C. 79/156
D. 209/156

42.

[ Statistics ]

43.

[ Geometry ]

The diagram is a polygon.

Find the largest of its interior angles.

A. 30^o
B. 100^o
C. 120^o
D. 150^o

44.

[ Statistics ]

The graph is that of 2x² - 5x - 3.

What is the gradient of y = 2x² - 5x - 3 at the point x = 4?

A. 11.1
B. 10.5
C. 10.3
D. 9.9

45.

[ Number & Numeration ]

If P = {prime factors of 210} and Q = {prime numbers less than 10}, find P∩Q.

A. {1,2,3}
B. {2,3,5}
C. {1,3,5,7}
D. {2,3,5,7}

46.

[ Algebra ]

47.

[ Algebra ]

A. 6(1 - 3k²)
B. 6(3k² - 1)
C. 6(3k - 1)
D. 6(1 - 3k)

51 out of 50

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Scoreboard for SSCE (WAEC and NECO) Practice Tests - Mathematics

Adebola scores (-25) out of 49
Sheriff Abdallah scores (-2) out of 49

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SSCE (WAEC and NECO) Practice Tests – Mathematics

Published by Tests Administrator on August 17, 2020August 17, 2020

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SSCE (WAEC and NECO) Practice Tests – Mathematics

Published by Tests Administrator on August 17, 2020August 17, 2020

Scoreboard for SSCE (WAEC and NECO) Practice Tests - Mathematics

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