Waecmaths
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| Question 1 |
If ${{23}_{x}}+{{101}_{x}}={{130}_{x}}$Find the value of x |
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| Question 2 |
Simplify $(\tfrac{3}{4}-\tfrac{2}{3})\times 1\tfrac{1}{5}$ |
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| Question 3 |
Simplify $\left( \frac{10\sqrt{3}}{\sqrt{5}}-\sqrt{15} \right)$ |
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| Question 4 |
The distance, d, through which a stone falls from rest varies directly as the square of the square of the time, t, taken. If the stone falls 45 cm in 3 seconds, how far will it fall in 6 seconds. |
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| Question 5 |
Which of the following is a valid conclusion from the premise “Nigerian footballers are good footballers” |
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| Question 6 |
On a map, 1cm represent 5 km. Find the area on the map that represents 100km2 |
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| Question 7 |
Simplify $\frac{{{3}^{n-1}}\times {{27}^{n+1}}}{{{81}^{n}}}$ |
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| Question 8 |
What sum of money will amount to D10, 400 in 5years at 6% simple interest? |
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| Question 9 |
Which of the following number lines illustrates the solution of the inequality $4\le \tfrac{1}{3}(2x-1)<5$? |
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| Question 10 |
The roots of a quadratic equation are$\tfrac{4}{3}$and $-\tfrac{3}{7}$. Find the equation. |
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| Question 11 |
Find the value of y for which the expression $\frac{{{y}^{2}}-9y+18}{{{y}^{2}}+4y-21}$is undefined. |
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| Question 12 |
Given that $2x+y=7$and $3x-2y=3$, by now much is 7x greater than 10 |
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| Question 13 |
Simplify $\frac{2}{1-x}-\frac{1}{x}$ |
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| Question 14 |
Make s the subject of the relation: $p=s+\frac{s{{m}^{2}}}{nr}$ |
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| Question 15 |
Factorize: ${{(2x+3y)}^{2}}-{{(x-4y)}^{2}}$ |
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| Question 16 |
The curved surface surface of a cylinder 5 cm high is 110cm2. Find the radius of its base [Take$\pi =\tfrac{22}{7}$] |
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| Question 17 |
The volume of a pyramid with height 15cm is 90cm3. If its base is a rectangle with dimensions xcm by 6cm, find the value of x |
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| Question 18 |
In the diagram $\overline{YW}$is a tangent to the circle at X, $\left| UV \right|=\left| VX \right|$and $\angle VXW={{50}^{\circ }}$, find the value of $\angle UXY$ |
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| Question 19 |
In the diagram $\overline{PE},\text{ }\overline{QT},\text{ }\overline{RG}$ intersect at S and $PQ\parallel RG$. If \[\angle SPQ={{113}^{\circ }}\]and \[\angle RST={{22}^{\circ }}\], find \[\angle SPQ={{113}^{\circ }}\]\[\angle PS{{Q}^{\circ }}\] |
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| Question 20 |
In the diagram, O is the centre of the circle \[\angle XOZ={{(10m)}^{\circ }}\] and \[\angle XWZ={{m}^{\circ }}\]calculate the value of m |
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| Question 21 |
Kweku walked 8m up a slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be? |
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| Question 22 |
In the diagram, TS is a tangent to the circle at S . $\left| PR \right|=\left| RS \right|$ and $\angle PQR={{117}^{\circ }}$. Calculate $\angle PST$ |
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| Question 22 |
In the diagram, TS is a tangent to the circle at S . $\left| PR \right|=\left| RS \right|$ and $\angle PQR={{117}^{\circ }}$. Calculate $\angle PST$
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| Question 23 |
In the diagram $PR\parallel SV\parallel WY,\text{ }TX\parallel QY,\text{ }\angle TXW={{60}^{\circ }}$ find $\angle TQU$
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| Question 24 |
A straight line passes through the points P(1, 2) and Q(5, 8). Calculate the gradient of the line PQ |
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| Question 25 |
A straight line passes through the points P(1, 2) and Q(5, 8), Calculate the length PQ |
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| Question 26 |
In the diagram TX is perpendicular to UW, $\left| UX \right|=1cm$and $\left| TX \right|=\left| WX \right|=\sqrt{3}cm$ Find $\angle UTW$
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| Question 27 |
If $\cos \theta =x$and $\sin {{60}^{\circ }}=x+0.5$ ${{0}^{\circ }}<\theta <{{90}^{\circ }}$find correct to the nearest degree, the value of θ |
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| Question 28 |
The table shows the age of students in a club. How many students are in the club. |
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| Question 29 |
The table shows the age of students in a club Find the median age. |
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| Question 30 |
The figure is a pie chart which represents the expenditures of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food? |
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| Question 31 |
A fair die is thrown two times. What is the probability that the sum of the scores is at least 10? |
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| Question 32 |
The marks of eight students in a test are: 10, 4, 5, 14, 13, 16 and 17. Find the range. |
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| Question 33 |
If ${{\log }_{2}}(3x-1)=5$, find x |
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| Question 34 |
A sphere of radius r cm has the same volume as the cylinder of radius 3cm and height 4cm. Find the value of r |
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| Question 35 |
Express 1975 correct to 2 significant figures |
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| Question 36 |
In the diagram, MOPQ is a trapezium with $QP\parallel MO,$$MQ\parallel NP$$NQ\parallel OP$. $\left| OP \right|=9cm$and the height of $\vartriangle QNP=6cm$. Calculate the area of the trapezium |
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| Question 37 |
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector. Take [$\pi=\tfrac {22}{7}$ ]. |
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| Question 38 |
Detemine $M'\cap N$from the Venn diagram |
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| Question 39 |
If 20(mod 9) is equivalent to y(mod 6), find y |
