# 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 =198o and $\angle RQP={{72}^{\circ }}$ . Find the value of y

Question 8 In the diagram x + y = 220o . 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) = 120o and (n + r) = 100o. 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 30o. 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  = 180o

iii x +m +n = 180o

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 1800o. 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 45o. 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 =180o

IV. p + m =180o

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 =245o, $\angle PST={{115}^{{}^\circ }},\angle STU={{65}^{{}^\circ }}$ 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, xo, (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 140o. 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