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 ]

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

[ Geometry ]

The pie chart shows the distribution of 600 Mathematics textbooks for Arts, Business, Science and Technical classes.

How many textbooks are for the Technical class?

A. 100
B. 150
C. 200
D. 250

[ Geometry ]

In the diagram, |SR|=|QR|, angle SRP = 65^o and angle RPQ = 48^o, find angle PRQ

A. 65^o
B. 45^o
C. 25^o
D. 19^o

[ Geometry ]

An open cone with base radius 28cm and perpendicular height 96cm was stretched to form a sector of a circle. Calculate the area of the sector. [Take π = 22/7 ]

A. 8800cm³
B. 8448cm³
C. 4400cm³
D. 4224cm³

[ 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

[ Number & Numeration ]

Alfred spent 1/4 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?

A. N43,200.00
B. N43,000.00
C. N42,200.00
D. N40,000.00

[ Algebra ]

[ Geometry ]

[ Algebra ]

Given that (x + 2)(x² - 3x + 2) + 2(x + 2)(x - 1) = (x + 2)M, find M

A. (x + 2)²
B. x(x + 2)
C. x² + 2
D. x² + x

10.

[ 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

11.

[ Number & Numeration ]

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

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

12.

[ Geometry ]

In the diagram,

|QR| = 10 m, |SR| = 8 m, angle QPS = 30^o, angle QRP = 90^o and |PS| = x. Find x.

A. 1.32 m
B. 6.32m
C. 9.32 m
D. 17.32 m

13.

[ 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

14.

[ 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

15.

[ 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

16.

[ 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

17.

[ Number & Numeration ]

In what number base is the addition 465 + 24 + 225 = 1060?

A. Ten
B. Nine
C. Eight
D. Seven

18.

[ Geometry ]

The diagram is a circle center O. If angle SPR = 2m and angle SQR = n, express m in terms of n.

A. m = n/2
B. m = 2n
C. m = n - 2
D. m = n + 2

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 ]

In the diagram, PQ is a straight line. Calculate the value of the angle labelled 2y.

A. 130^o
B. 120^o
C. 110^o
D. 100^o

21.

[ 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 .

22.

[ Algebra ]

Find the value of k in the equation 6k² = 5k + 6.

23.

[ Algebra ]

24.

[ Geometry ]

An object is 6m away from the base of a mast. The angle of depression of the object from the top of the mast is. Find correct to 2 decimal places, the height of the mast.

A. 8.60m
B. 7.51m
C. 7.15m
D. 1.19m

No Answer

25.

[ 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

26.

[ 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

27.

[ Algebra ]

Factorise completely: 32x²y - 48x³y³

A. 16x²y (2 - 3xy²)
B. 8xy (4x - 6x²y²)
C. 8x²y (4 - 6xy²)
D. 16xy (2x - 3x²y²)

28.

[ Statistics ]

29.

[ Algebra ]

If P = {y : 2y > 6} and Q = {y : y – 3 < 4}, where is an integer, find P∩Q

A. {3,4}
B. {3,7}
C. {3,4,5,6,7}
D. {4,5,6}

30.

[ 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

31.

[ 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

32.

[ Geometry ]

In the diagram, the height of a flag pole (TF) and length of its shadow (FL) are in the ratio 6:8. Using K as a constant of proportionality, find the shortest distance between T and L.

A. 7K units
B. 10K units
C. 12K units
D. 14K units

33.

[ 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

34.

[ 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

35.

[ Algebra ]

36.

[ Geometry ]

The sum of the interior angles of a regular polygon is 1800^o. How many sides has the polygon?

A. 16
B. 12
C. 10
D. 8

37.

[ Geometry ]

In the diagram, PRST is a square. If |PQ| = 24cm, |QR| = 10cm and angle PQR = 90^o; find the perimeter of the polygon PQRST

A. 112cm
B. 98cm
C. 86cm
D. 84cm

38.

[ Statistics ]

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

Calculate the mean of the distribution.

A. 6.0
B. 3.0
C. 2.4
D. 1.8

39.

[ Algebra ]

40.

[ Algebra ]

41.

[ Algebra ]

42.

[ 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

43.

[ Number & Numeration ]

44.

[ Number & Numeration ]

If U_n = n(n² + 1), evaluate U₅ – U₄

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

45.

[ Number & Numeration ]

A. 3/2
B. 4/3
C. 2/3
D. 4.2

46.

[ 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}

47.

[ Geometry ]

In the diagram,

PQRS is a rhombus and angle PSQ= 35^o. Calculate the size of angle PRQ

A. 65^o
B. 55^o
C. 45^o
D. 35^o

48.

[ Number & Numeration ]

Four oranges sell for Nx and three mangoes sell for Ny. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y?

A. N(4x + 6y)
B. N(6x + 4y)
C. N(24x + 12y)
D. N(12x + 24y)

49.

[ Algebra ]

51 out of 50

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

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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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