# Mathematics 2018 Past Questions | WAEC

Study the following Mathematics past questions and answers for JAMB, WAEC NECO and Post-JAMB. Get prepared with official past questions and answers for upcoming examinations.

**31.**

** **In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?

**A.**\(\frac{|PN|}{|PR|}\)**B.**\(\frac{|PM|}{|PQ|}\)**C.**\(\frac{|PM|}{|PR|}\)**D.**\(\frac{|PR|}{|PQ|}\)

**Correct Option: Answer is C**

**32. **If P and Q are two statements, under what condition would p|q be false?

**A.**If p is true and q is true**B.**If p is true and q is false**C.**If p is false and q is false**D.**If p is false and q is true

**Correct Option: Answer is B**

**33. **Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2

**A.**0.0**B.**0.5**C.**1.0**D.**1.5

**Correct Option: Answer is C**

**34**. Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45

**A.**8**B.**9**C.**10**D.**1

**Correct Option: Answer is B**

Σ*fx = *350

Σ*f = *50

Mean = \(\frac{\sum f x}{\sum f}\)

= \(\frac{350}{10}\)

= 35

= \(\frac{\sum f |d|}{\sum f}\)

= \(\frac{90}{10}\)

= 9

**35.**

Find the value of t in the diagram

**A.**63º**B.**117º**C.**126º**D.**234º

**Correct Option: Answer is C**

α$\alpha $ = 180º – 177° (angles on a straight line)

$\alpha $ = 63º

t = 2 x 63º (angle at centre = 2 x angle at circumference)

= 126º

**36. **

In the diagram, PR is a tangent to the circle at Q, QT//RS,

**A.**40**B.**65**C.**85**D.**95

**Correct Option: Answer is D**

In the diagram,

a = 50º (alternate angles)

b1 + a 35o = 180o (sum of angles on a straight line)

i.e; b1 + 50o + 35o

= 180

b1 + 180º – 85º = 90º

But b2 = b1 = 95º(angles in alternate segment)

**37. **

In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?

**A.**Trapezium**B.**Prism**C.**Rectangle**D.**Rhombus

**Correct Option: Answer is D**

**38.**

In the diagram, PS and RS are tangents to the circle centre O,

**A.**110 ${}^{o}$**B.**135 ${}^{o}$**C.**165 ${}^{o}$**D.**225 ${}^{o}$

**Correct Option: Answer is C**

Thus, m = 2 x 55º (is a bisector of obtuse

m = 110º

n = 1/2 x 110º (angle at centre = 2 x angle at circumference)

n = 55º

= 165o

**39.**

In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded

**A.**25cm**B.**24cm**C.**16cm**D.**12cm

**Correct Option: Answer is B**

**40. **The solution of x + 2 $\ge $ 2x + 1 is illustrated

**A.**i**B.**ii**C.**iii**D.**iv