Waecmaths
| Title | waecmaths question |
|---|---|
| Question 21 |
In the figure shown, PQS is a straight line. What is the value of $\angle PRQ$ |
| Question 22 |
In the diagram, $PQ\parallel RS,\text{ }QU\parallel PT\text{ and }\angle PSR={{42}^{{}^\circ }}$. Find the angle x |
| Question 23 |
The angle of a quadrilateral are ${{(x+10)}^{o}},2{{y}^{o}},{{90}^{o}}\text{ and (100}-y{{)}^{o}}$. Find y in term of x |
| Question 24 |
In the figure $\left| PX \right|=\left| XQ \right|,\text{ }\left| PQ \right|\parallel \left| YZ \right|$ and $XY\parallel QR$>What is the ratio of the area of XYZQ to $\Delta YZR$ ? |
| Question 45 |
In the diagram $\angle QPR={{60}^{\circ }},\text{ }\angle PQR={{50}^{\circ }},\text{ }QRS=2{{x}^{\circ }},\text{ }\angle SRP=3{{x}^{\circ }},\text{ }\angle UQP={{y}^{\circ }}$ and $RS\parallel TU$calculate y |
| Question 19 |
From the diagram, find the value of x |
| Question 20 |
Find the value of x in the diagram |
| Question 21 |
Each interior angle of a regular polygon is 162o. How many sides has the polygon? |
| Question 22 |
From the diagram, find the value of x
|
| Question 25 |
In a $\Delta PQR,\text{ }\angle PQR=\angle PRQ={{45}^{\circ }}$ which of the following statement is correct? I. $\triangle PQR$is an equilateral triangle II. $\triangle PQR$ is an isosceles triangle III. $\triangle PQR$ is a right angled triangle |
| Question 49 |
In the diagram, $\left| XR \right|=4cm$, $\left| RZ \right|=12cm,\left| SR \right|=n,\text{ }\left| YZ \right|=m$ and $\overline{SR}\parallel \overline{YZ}$. Find m in terms of n |
| Question 15 |
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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 |
| Question 43 |
In the diagram, what is x+ y in term of z ? |
| Question 44 |
The value of three angles at a point are 3y - 45o, y + 25o and yo. Find the value of y |
| Question 46 |
In the diagram $\left| XY \right|=12cm,\left| XZ \right|=9cm,\left| ZN \right|=3cm$ and $\left| ZY \right|=$ calculate $\left| MY \right|$ |
| Question 18 |
In the diagram, $PQ\parallel RT$, $QR\parallel SU$, $\angle PQR={{48}^{\circ }}$AND find the value of x |
| Question 30 |
In the diagram, $UW\parallel YZ$, $\left| WX \right|=6cm$, $\left| XY \right|=16cm$, and $\left| ZX \right|=12cm$. Calculate $\left| VX \right|$ |
| Question 33 |
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| Question 46 |
Two angles of a pentagon are in the ratio 2:3. The others are 60o each. Calculate the smaller of the two angles |
| Question 50 |
In the diagram $\overline{OX}$ bisects $\angle YXZ$ and $\overline{OZ}$bisects $\angle YZX$If $\angle XYZ={{68}^{\circ }}$, Calculate the value of $\angle XOZ$ |
| Question 9 |
In the diagram $KL\parallel MN,\angle NMP={{30}^{\circ }}$ and $\angle NMP={{45}^{\circ }}$ find the size of the reflex $\angle KPM$ |
| Question 16 |
In the diagram, PQ and MN are straight lines. Find the value of x |
| Question 17 |
In the diagram, PQRS is a parallelogram and $\angle QRT={{30}^{\circ }}$. Find x .
|
| Question 19 |
The lengths of the adjacent sides of a right-angled triangle are xcm, (x – 1)cm. If the length of the hypotenuse is $\sqrt{13}cm$ find the value of x |
| Question 37 |
A regular polygon has 9 sides. What is the size of one of the its exterior angles? |
| Question 20 |
In the diagram XY is a straight line, $\angle POX=\angle POQ$ and $\angle ROY=\angle QOR$ . Find the value of $\angle POQ+\angle ROY$
|
| Question 35 |
Three exterior angles of a polygon are 30o, 40o and 60o . If the remaining exterior angles are 46o each. Name the polygon. |
| Question 36 |
In the diagram $NQ\parallel TS$ ,$\angle RTS={{50}^{\circ }}$ and $\angle PRT={{100}^{\circ }}$ Find the value of $\angle NPR$
|
| Question 44 |
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| Question 16 |
In the diagram, which of the following ratios is equal to $\frac{\left| PN \right|}{\left| PQ \right|}$? |
| Question 20 |
The angle of a polygon are x, 2x, 2x, (x + 30o), (x +20o) and (x –10o). Find the value of x |
| Question 43 |
In the diagram PQ is a straight line (m + n) = 110o, (n + r) =130o and (m + r ) =120o. Find the ratio of m : n : r |
| Question 48 |
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| Question 31 |
In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, $\left| OS \right|=\left| OT \right|$ and $\angle OST=50{}^\circ $ . Calculate the value of $\angle OPQ$
|
| Question 33 |
The interior angles of a polygon are 3xo, 2xo, 4xo, 3xo and 6xo. Find the size of the smallest angle of the polygon |
| Question 44 |
In the diagram PQ is parallel to RX, $\angle QPS=105{}^\circ $ and $\angle FEG=50{}^\circ $ . Use the diagram to answer question 44 Find the value of m.
|
| Question 45 |
In the diagram PQ is parallel to RX, $\angle QPS=105{}^\circ $ and $\angle FEG=50{}^\circ $ . Find the value of n |









In the diagram find xo + yo

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





Find the value of m in the diagram

In the diagram, $PQ\parallel RS$. Find x in terms of y and z
