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THEORY QUESTIONS

WAEC SYLLABUS

ANSWERS

6. If √50- K√(8 )= √2 find K.

A. –2.

B. – 1

C. 1.

D. 2.

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

A. 4%

B. 5 ⁵/₉%

C. 5 ¹⁵/₁₇%

D. 7%

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

A. N(4x +6y)

B. N(6x +4y)

C. N(24x +12y)

D. N(12x +24y)

9. Simplify: (x^2- y^2 )/((x+y) )+ ((x- 〖y)〗^2 )/((3x+3y) )

A. (x- y^2 )/(3x )

B. x + y

C. (3 )/(x-y )

D. x – y

10. Solve the inequality: (2x-5)/2 < (2 – x). A. x >0 B. x < 1/4 C. x>21/2 D. x 21/4.

ANSWERS

In the diagram, the height of a flagpole (TF) and the 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

A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm find the length of the chord. A. 2√21cm B. √42cm C. 2√19cm D. √21cm

A cube and a cuboid have the same base area. The volume of the cube is 64cm3 while that of the cuboid is 80cm3. A. 2cm B. 3cm C. 5cm D. 6cm

In the diagram, VX is a tangent to the circle UYW at W. If WY//UV,

ANSWERS

In the diagram, PQRS is a rhombus and < PSQ = 350. Calculate the size of < PRQ. A. 650 B. 550 C. 450 D. 350

Find the value of m in the diagram. A. 340 B. 270 C. 230 D. 170

In the diagram, O is the centre of the circle,. OM\\XZ and < ZOM = 250. Calculate < XYZ. A. 500 B. 550 C. 600 D. 650

If sin⁡〖x= 5/13 〗 and 00 ≤x ≤ 900, find the value of 〖(cos〗⁡〖x-tan⁡〖x).〗〗 A. 7/13 B. 12/13 C. 79/156 D. 209/156

An object is 6 m away from the base of a mast. The angle of depression of the object from the top of the mast is 500. Find, correct to 2 decimal places, the height of the mast. A. 8.60m B. 7.51m C. 7.15m D. 1.19m

ANSWERS

The bearing of Y from X is 0600 and the bearing of Z from Y = 0600. Find the bearing of X from Z. A. 3000 B. 2400 C. 1800 D. 1200

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

Use this histogram to answer questions 28 and 29. Estimate the mode of the distribution A. 51.5 B. 52.5 C. 53.3 D. 54.5

What is the median class? A. 60.5 – 70.5 B. 50.5 – 60.5 C. 40.5 – 50.5 D. 30.5 – 40.5

If 2logx (33/8)=6, find the value of x. A. 3/2 B. 4/3 C. 2/3 D. 1/2

ANSWERS

If P = { y: 2y > 6} and Q = :y:y – 3 < 4}, where y is an integer, find P∩Q. A. {3,4} B. {3,7} C. {3,4,5,6,7} D. {4,5,6}

Find the values of k in the equation 6k2 = 5k + 6. A. {(-2)/3,(-3)/2 ┤ B. {(-2)/3,3/2 ┤ C. {2/3,3/2,┤ D. {(-2)/3,3/2 ┤

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

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

The pie chart shows the distribution of 600 Mathematics textbooks for Arts, Business, Science and Technical classes. Use it to answer questions 35 and 36. How many textbooks are for the Technical class? A. 100 B. 150 C. 200 D. 250

ANSWERS

What percentage of the total number of textbooks belongs to science? A. 121/2% B. 205/6% C. 25% A. 412/3%

In the diagram, PQRST is a regular polygon with sides QR and TS produced to meet at V. Find the size of < RVS. A. 360 B. 540 C. 600 D. 720

What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 300? A. the bisector of the straight line joining P and M. B. An arc of a circle with PM as a chord C. The bisector of angle PXM D.

A circle centre X and radius PM. In the diagram, PQ is a straight line. Calculate the value of the angle labeled 2y. A. 1300 B. 1200 C. 1100 D. 1000

When a number is subtracted from 2, the result equals a less than one-fifth of the number. Find the number. A. 11 B. 15/2 C. 5 D. 5/2

ANSWERS

Express 2/(x+3)- 1/(x- 2) as a simple fraction. A. (1x-7 )/(x+x-6 ) B. (x-1 )/(x+x-6 ) C. (x-2 )/(x+x-6 ) D. (x-7 )/(x+x-6 )

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

In the diagram, ST//PQ relex angle SRQ = 1980 and < RQP = 720. Find the value of y. A. 180 B. 540 C. 920 D. 1080

Using the Venn diagram, find n (X∩Y). A. 2 B. 3 C. 4 D. 6

Given that P = x2 + 4x – 2, Q = 2x – 1 and Q – P = 2, find x. A. –2 B. – 1. C. 1 D. 2

ANSWERS

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

The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the c one. [Take =27/7 ]. A. 48cm3 B. 47cm3 C. 38cm3 D. 13cm3

Take distance between two towns is 50 km. 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

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

An open cone with base radius 28 cm and perpendicular height 96 cm was stretched to form a sector of a circle. Calculate the area of the sector. [Take =27/7 ]. A. 8800cm2 B. 8448cm2 C. 4400cm2 D. 4224cm2

ANSWERS