Waecmaths
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Question 1 |
Evaluate (0.13)3 correct to three significant figures. |
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Question 2 |
Simplify 11011two – 1101two |
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Question 3 |
Simplify $\frac{{{25}^{\tfrac{2}{3}}}\div {{25}^{\tfrac{1}{6}}}}{{{({1}/{5}\;)}^{-\tfrac{7}{6}}}\times {{({1}/{5}\;)}^{\tfrac{1}{6}}}}$ |
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Question 4 |
Simplify $\frac{x-4}{4}-\frac{x-3}{6}$ |
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Question 5 |
Given that $\frac{1-2x}{4x-3}$, find the value of x for which y is undefined |
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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 |
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Question 7 |
A fair coin is tossed three times. Find the probability of getting two head and one tail |
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Question 8 |
If 30% of y is equal to x, what, in terms of x is 30% of 3y |
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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? |
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Question 10 |
If tan y = 0.404, where y is acute, find cos 2y |
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Question 11 |
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Question 12 |
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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 |
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Question 14 |
Represent the solution of the inequality $\frac{x-2}{2}\ge \frac{x+3}{4}$ on the number line |
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Question 15 |
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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 |
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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 $\angle QRS$ |
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Question 18 |
The table below satisfies the relation $y=k\sqrt{x}$ , where k is a positive constant.
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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
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Question 20 |
What must be added to ${{x}^{2}}-3x$ to make it a perfect square? |
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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 ? |
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Question 22 |
Given that $(2x-1)(x+5)=2{{x}^{2}}-mx-5$, what is the value of m? |
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Question 23 |
What is the place value of 9 in the number 3.0492? |
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Question 24 |
If the simple interest on a sum of money invested at 3% per annum for 2½ years in N123. Find the principal |
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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 |
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Question 26 |
If $2x+y=10$ and $y\ne 0$ which of the following is not a possible value of x |
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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 $\angle PQR$ |
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Question 28 |
If x + y = 12 and 3x – y =20, find the value of 2x – y |
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Question 29 | |||||||||
Question 30 | |||||||||
Question 31 |
If ${{\log }_{a}}270-{{\log }_{a}}10+{{\log }_{a}}\tfrac{1}{3}=2$ what is the value of a? |
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Question 32 |
A conical water–jug is 7cm in diameter and 6cm deep. Find the volume of water it can hold [Take $\pi =\tfrac{22}{7}$ ] |
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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 |
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Question 34 |
If $P={{\left[ \frac{Q(R-T)}{15} \right]}^{\tfrac{1}{3}}}$ Make T the subject of the relation |
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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 |
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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 |
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Question 37 | |||||||||
Question 38 | |||||||||
Question 39 |
Find the nth tem of the sequence 5, 10 , 20, 40, 80,… |
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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 $\pi =\tfrac{22}{7}$] |