Waecmaths
| Title | waecmaths question | ||||||||||
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| Question 1 |
If $\{x:2\le x\le 18;x\in integer\}$and 7 + x = 4(mod 9). Find the highest value of x |
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| Question 2 |
The sum of 110112, 111112 and 100002 is 10m10n02, find the value of m and n |
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| Question 3 |
A trader bought an engine for 15,000dollars outside Nigeria. If the exchange rate is 0.075dollars to N1.00, how much did the engine cost in naira? |
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| Question 4 |
If $\frac{{{27}^{x}}\times {{3}^{1-x}}}{{{9}^{2x}}}=1$, find the value of x |
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| Question 5 |
Find the 7th term of the sequence 2, 5, 10, 17, 26, _, _, _ |
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| Question 6 |
Given that ${{\log }_{x}}64=3$, evaluate $x{{\log }_{2}}8$ |
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| Question 7 |
If 2x = y, find ${{2}^{(2+\tfrac{x}{3})}}$ |
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| Question 8 |
Factorize completely $6ax-12by-9ay+8bx$ |
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| Question 9 |
Find the equation whose roots are ¾ and –4 |
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| Question 10 |
If m =4, n =9 and r =16, evaluate $\tfrac{m}{n}-1\tfrac{7}{9}+\tfrac{n}{r}$ |
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| Question 11 |
Adding 42 to a given positive number gives the same result as squaring the number. Find the number. |
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| Question 12 |
Ada draws a graph of $y={{x}^{2}}-x-2$and $y=2x-1$on the same axes. Which of the these equations is she solving |
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| Question 13 |
The volume of a cone of height 3cm is $38\tfrac{1}{2}$cm2. Find the radius of its base [Take $\pi =\tfrac{22}{7}$] |
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| Question 14 |
A sector of a circle with radius 6cm subtends an angle of 60o at the centre. Calculate its perimeter in terms of π |
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| Question 15 |
The dimensions of a rectangular tanks are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tanks of height 4cm. Calculate the base radius of the cylindrical tank [Take $\pi =\tfrac{22}{7}$] |
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| Question 16 |
In the diagram, O is the centre of the circle If PQ $PQ\parallel RS$and $\angle ONS={{140}^{\circ }}$find the size of $\angle POM$ |
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| Question 17 |
In the diagram, PTR is a tangent to the circle centre O, if the angle TON = 108o. Calculate the size of angle PTN |
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| Question 18 |
In the diagram, $PQ\parallel RT$, $QR\parallel SU$, $\angle PQR={{48}^{\circ }}$AND find the value of x |
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| Question 19 |
In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20 19. Calculate the value of angle PTR
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| Question 20 |
In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20 |
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| Question 21 |
The table below shows the values for a linear graph
Use it to answer question 21 and 22. 21. Find the gradient of the line |
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| Question 22 |
The table below shows the values for a linear graph
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| Question 23 |
Given that $\tan x=\tfrac{2}{3}$, where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$, find the value of $2\sin x$ |
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| Question 24 |
PQRS is a square. If X is the midpoint of PQ, Calculate correct to the nearest degree, $\angle PXS$ |
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| Question 25 |
The angle of elevation of an aircraft from a point K on the horizontal ground is 30o. If the aircraft is 800m above the ground. How far is it from K? |
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| Question 26 |
The population of students in a schools is 810. If this is represented on a pie chart. Calculate the sectoral angle for a class of 72 students. |
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| Question 27 |
The scores of twenty students in a test are as follows 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 61, 63, 65, 67, 70, 73, 75. Find the third quartile |
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| Question 28 |
The table shows the distribution of the scores of some students in a test. Calculate the mean score. |
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| Question 29 |
The probabilities that kebba, Ebou, and Omar will hit a target are $\tfrac{2}{3},\tfrac{3}{4}$and $\tfrac{4}{5}$ respectively. Find the probability that only Kebba will hit target |
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| Question 30 |
In the diagram, $UW\parallel YZ$, $\left| WX \right|=6cm$, $\left| XY \right|=16cm$, and $\left| ZX \right|=12cm$. Calculate $\left| VX \right|$ |
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| Question 31 |
Tom will be 25 years old in n years time. If he is 5 years younger than Bade, Find Bade’s present age. |
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| Question 32 |
If $\frac{\sqrt{2}+\sqrt{3}}{\sqrt{3}}$is simplified as $m+n\sqrt{6}$, find the value of (m + n) |
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| Question 33 |
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| Question 34 |
Make k the subject of the relation $T=\sqrt{\frac{Tk-H}{k-H}}$ |
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| Question 35 |
Which of the following is used to determine the mode of a grouped data? |
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| Question 36 |
The area of a rhombus is 110cm2. If the diagonal are 20cm and (2x +1)cm long. Find the value of x |
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| Question 37 |
Simplify $\frac{3x-y}{xy}-\frac{2x+3y}{2xy}+\frac{1}{2}$ |
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| Question 38 |
Illustrate graphically, the solution of $\frac{y}{2}+\frac{1}{8}>\frac{5y}{8}$ |
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| Question 39 |
A farmer uses $\frac{2}{5}$of his land to grow cassava, $\frac{1}{3}$of the remainder for yam and the rest for maize. Find the part of the land used for maize |
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| Question 40 |
The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km, how far would the vehicle go on 9 litres of petrol |
In the diagram, $\overline{OT}$and $\overline{PR}$ are straight lines $\angle ROS=(3n-{{20}^{\circ }}),$$\angle POT=2m$, $\angle SOT=n$$\angle POL=m$ and $\angle QOL$is a right angle. Find the value of n