Waecmaths
Title  waecmaths question 

Question 16 
In the diagram, the height of the flagpole $\left TF \right$ and the length of its shadows $\left FL \right$are in the ratio 6:8. Using K as a constant proportionality, find the shortest distance between T and L 
Question 37 
In the diagram, PQRST is a regular polygon with the sides of OR and TS produced to meet at V. Find the size of $\angle RVS$ 
Question 39 
In the diagram, PQ is a straight line, calculate the value of angle labelled 2y 
Question 42 
An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon 
Question 43 
In the diagram $\overline{ST}\parallel \overline{PQ}$, reflex angle SRQ =198^{o} and $\angle RQP={{72}^{\circ }}$ . Find the value of y 
Question 8 
In the diagram x + y = 220^{o} . Find the value of n 
Questio 15 
In the diagram, $\angle QPT=\angle PTS={{90}^{\circ }}$, $\angle PQR={{110}^{\circ }}$and . Find the size of the obtuse angle QRS 
Question 20 
In the diagram, PQR is straight line (m + n) = 120^{o} and (n + r) = 100^{o}. Find (m +r) 
Question 21 
In the diagram, $\overline{SR}$is parallel to $\overline{UW}$,$\angle WVT={{x}^{\circ }},\angle VUT={{y}^{\circ }},\angle RSV={{45}^{\circ }}$and $\angle VTU={{20}^{\circ }}$Find the value of x 
Question 22 
In the diagram, $\overline{SR}$is parallel to $\overline{UW}$,$\angle WVT={{x}^{\circ }},\angle VUT={{y}^{\circ }},\angle RSV={{45}^{\circ }}$and $\angle VTU={{20}^{\circ }}$Calculate the value of y 
Question 47 
Each exterior angle of a polygon is 30^{o}. Calculate the sum of the interior angles 
Question 19 
In $\Delta XYZ$ $\left XY \right=8cm,$$\left YZ \right=10cm$and $\left XZ \right=6cm$ which of theses relations is true? 
Question 22 
In the diagram $MQ\parallel RS,\angle TUV={{70}^{\circ }}\text{and }\angle RLV={{30}^{\circ }}$ find the value of x 
Question 23 
In the diagram, MN, PQ and RS are three intersecting straight lines, which of the following statement (s) is/are true? i. t = y ii. x + y + z + m = 180^{o} iii x +m +n = 180^{o} iv. x + n = m + z

Question 36 
In the diagram, $MN\parallel PO,$ $\angle PMN={{112}^{{}^\circ }},\angle PNO={{129}^{{}^\circ }}\angle NOP={{37}^{{}^\circ }}$ and$\angle MPN=y$ find the value of y 
Question 40 
The sum of the interior angles of a regular polygon is 1800^{o}. How many sides has the polygon? 
Question 45 
The diagram is a polygon. Find the largest angle of its interiorAngles 
Question 4 
The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. which of the following triangles is similar to triangle QKR? 
Question 10 
Find the sizes of the angle marked x in the diagram

Question 11 
A regular polygon of n sides has each exterior angle equal to 45^{o}_{. }Find the value of n. 
Question 23 
In the diagram $MN\parallel OP,\angle NMQ={{65}^{\circ }}$ and $\angle QOP={{125}^{\circ }}$ what is the size of $\angle MQR$?

Question 27 
From the diagram, which of the following statement are true? I. m = q II. n = q III.n + p =180^{o} IV. p + m =180^{o} 
Question 37 
In the diagram, STUV is a straight line$\angle TSY=\angle UXY={{40}^{{}^\circ }}$ and $\angle VUW={{110}^{\circ }}$ calculate $\angle TYW$ 
Question 47 
In the diagram$PQ\parallel TS,PR\parallel TU$ reflex angle QPS =245^{o}, $\angle PST={{115}^{{}^\circ }},\angle STU={{65}^{{}^\circ }}$ and $\angle RPS=x$. Find the value of x

Question 3 
In the diagram $\angle PSR={{22}^{{}^\circ }},\text{ }\angle SPQ={{58}^{{}^\circ }}$ and Calculate the obtuse angle QRS 
Question 10 
What is the value of m in the diagram? 
Question 11 
In the diagram, $QR\parallel ST,\text{ }\left PQ \right=\left PR \right$ $\text{ and }\angle PST={{75}^{{}^\circ }}$. find the value of y 
Question 21 
In the diagram, triangle HKL and HIJ are similar. Which of the following ratios is equal to $\frac{LH}{JH}$ 
Question 27 
The sum of the exterior angles of an n – sided convex polygon is half the sum of its interior angles. Find n 
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 \[\angle SPQ={{113}^{\circ }}\]\[\angle PS{{Q}^{\circ }}\] 
Question 23 
In the diagram $PR\parallel SV\parallel WY,\text{ }TX\parallel QY,\text{ }\angle TXW={{60}^{\circ }}$ find $\angle TQU$

Question 46 
The ratio of the exterior angle to the interior angle of a regular polygon 1:11. How many sides has the polygon? 
Question 50 
From the diagram which of the following is true? 
Question 20 
The interior angle of a pentagon are (2x + 5)^{o}, (x + 20)^{o}, x^{o}, (3x – 20)^{o} and (x + 15)^{o}. Find the value of x 
Question 21 
In the diagram, IG is parallel to JE, $J\overset{\wedge }{\mathop{E}}\,F={{120}^{\circ }}$ and $F\overset{\wedge }{\mathop{H}}\,G={{130}^{\circ }}$. Find the angle marked t 
Question 23 
Find the value of x in the diagram 
Question 24 
In the diagram $\left SQ \right=4cm,\text{ }\left PT \right=7cm\text{, }\left TR \right=5cm$ and $ST\parallel QR$ If $\left SP \right=xcm$. Find the value of x 
Question 39 
Each of the interior angle of a regular polygon is 140^{o}. Calculate the sum of all the interior angles of the polygon 
Question 46 
Find the value of x in the diagram 
Question 47 
The angles of a triangle are (x +10)^{o}, (2x – 40)^{o} and (3x – 90)^{o}. Which of the following accurately described the triangle 