Waecmaths

Title waecmaths question
Question 1

Evaluate (0.13)3 correct to three significant figures.

Question 2

Simplify 11011two – 1101two

Question 3

Simplify $\frac{{{25}^{\tfrac{2}{3}}}\div {{25}^{\tfrac{1}{6}}}}{{{({1}/{5}\;)}^{-\tfrac{7}{6}}}\times {{({1}/{5}\;)}^{\tfrac{1}{6}}}}$

Question 4

Simplify $\frac{x-4}{4}-\frac{x-3}{6}$

Question 5

Given that $\frac{1-2x}{4x-3}$, find the value of x for which y is undefined

Question 6

P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is

Question 7

A fair coin is tossed three times. Find the probability of getting two head and one tail

Question 8

If 30% of y is equal to x, what, in terms of x is 30% of 3y

Question 9

A baker used 40% of a 50kg of flour. If $\tfrac{1}{8}$ of the amount used was for cake, how many kilogram of flour was used for the cake?

Question 10

If tan y = 0.404, where y is acute, find cos 2y

Question 11 In the diagram PQUV, PQTU, QRTU and QRST are parallelograms. $\left| UV \right|=4.8cm$ and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV

Question 12 Which of this diagram show(s) the correct method of constructing a perpendicular line PQ at a given X on

Question 13 In the diagram $\left| QR \right|=5cm$ $\angle PQR={{60}^{\circ }}$ and $\angle PSR={{45}^{\circ }}$. Find $\left| PS \right|$ leaving your answer in surd form

Question 14

Represent the solution of the inequality $\frac{x-2}{2}\ge \frac{x+3}{4}$ on the number line

Question 15 In the diagram  find xo + yo

Question 16

The ratio of boys to girls in a class is 5:3, find the probability of selecting at random a girl from the class

Question 17

In the diagram PR is a diameter of the circle centre O. RS is a tangent at R and $\angle QPR={{58}^{\circ }}$, find $\angle QRS$ Question 18

The table below satisfies the relation $y=k\sqrt{x}$ , where k is a positive constant.

 x 1 4 p y 0.5 1 2.5
Question 19

The table below satisfies the relation $y=k\sqrt{x}$ , where k is a positive constant. Use it to answer  18 and 19

 x 1 4 p y 0.5 1 2.5
Question 20

What must be added to ${{x}^{2}}-3x$ to make it a perfect square?

Question 21

In the diagram P, Q, R, S are points on the circle $R\overset{\wedge }{\mathop{Q}}\,S$ = 30o, $P\overset{\wedge }{\mathop{R}}\,S$ = 50o and $P\overset{\wedge }{\mathop{S}}\,Q$ = 20o. What is the value of xo + yo ? Question 22

Given that  $(2x-1)(x+5)=2{{x}^{2}}-mx-5$, what is the value of m?

Question 23

What is the place value of 9 in the number 3.0492?

Question 24

If the simple interest on a sum of money invested at 3% per annum for 2½ years in N123. Find the principal

Question 25

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years

Question 26

If $2x+y=10$ and $y\ne 0$ which of the following is not a possible value of x

Question 27

In the diagram, P, Q and R  are three points in a plane such that the bearing of R from Q is 110o and the bearing of Q from P is 050o. Find $\angle PQR$ Question 28

If x + y = 12 and 3xy =20, find the value of 2xy

Question 29
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Question 31

If ${{\log }_{a}}270-{{\log }_{a}}10+{{\log }_{a}}\tfrac{1}{3}=2$ what is the value of a?

Question 32

A conical water–jug is 7cm in diameter and 6cm deep. Find the volume of water it can hold [Take $\pi =\tfrac{22}{7}$ ]

Question 33

In the diagram, the two circles have a common a centre O, if the area of the larger circle is 100π and that of the smaller circle is 49 π. Find x Question 34

If $P={{\left[ \frac{Q(R-T)}{15} \right]}^{\tfrac{1}{3}}}$ Make T the subject of the relation

Question 35

In the diagram, PQR is a straight line, QRST  is a parallelogram$\angle TPQ={{72}^{\circ }}$ and $\angle RST={{126}^{\circ }}$. What type of triangle is ΔPQT

Question 36

A seller allows 20% discount for cash payment on a marked price of his goods. What is the ratio of the cash payment to the marked price

Question 37
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Question 39

Find the  nth tem of the sequence 5, 10 , 20, 40, 80,…

Question 40

The diagram shows an arc MN of a circle centre O, with radius 10cm, If $\angle MON={{72}^{\circ }}$ Calculate the length of the arc, correct to three significant figures. [Take $\pi =\tfrac{22}{7}$] 