# WAEC Mathematics Questions 2022 Objective and Theory Update

**– WAEC Mathematics Questions –**

**WAEC Mathematics Questions are Out! Check WAEC Expo Questions and answers now on our website. In this article, I will show you past WAEC Mathematics random repeated questions for free. ****You will also understand how WAEC Mathematics questions are set and many more examination details. All you need to do is to stay focused and follow this guide.**

The West African Examinations Council (WAEC) is an examination board that conducts the West African Senior School Certificate Examination, for University and Jamb entry examination in West African countries.

In a year, over three million candidates registered for the exams coordinated by WAEC.

The General Maths (Core) 2 (Essay) paper usually starts at 9:30 am and will last for 2hrs 30mins while the General Mathematics/ Mathematics (Core) 1 (Objective) exam will begin at 3 pm and will last for 1hr 30mins.

## WAEC Mathematics Objective Answers

Take note of those objective answers below:

**1-10:** CBCADABBCD

**11-20:** BCBADCCABC

**21-30:** CDCAAADACD

**31-40:** CADACBAABC

**41-50:** ABAADADBBB

## WAEC Mathematics Essay Questions

Answer any question.

Write your answers on the answer booklet provided.

1. A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x: 3 < x < 9} are subsets of the universal-set

U = {2, 3, 4, 5, 6, 7, 8, 9}. Find

(a) A n(B’nC’);

(b) (AuB) n(BuC).

2. In the diagram above, the points A, B, C and D lie on the circle, centre O. TA and TB are tangents touching the circle at A and B, respectively.

AÔB = 132°, AĈD = 59° and AOC are a straight line.

(a) Find ATB.

(b) Find BDA.(c) Find BDC.

(d) Find OBD.

3 (a) The probability that a malaria patient (M) survives when administered with a newly discovered drug is 0.27 and the probability that a typhoid patient (T) survives when injected with another newly discovered drug is 0.85. What is the probability that

i. either of the two patients survives?

ii. of two patients survive?

iii. at least one of the two patients survives?

(b) Give your answers correct to 2 significant figures.

4. The frequency distribution of the weight of 100 participants in a high jump competition is as

shown below:

Weight (kg) | 20-29 | 30 – 39 | 40 – 49 | SO – 59 | 60 – 69 | 70-79 |

Number of | ||||||

participants | 10 | 18 | 22 | 25 | 16 | 9 |

(a) Construct the cumulative frequency table.

(b) Draw the cumulative frequency curve.

(c) From the curve, estimate the:

(i) median;

(ii) semi-interquartile range;

(iii) probability that a participant chosen at random weighs at least 60 kg.

5. Using a ruler and a pair of compasses only:

(a) construct a triangle PQR with /PQ/ = 10cm, ∠QPR= 90° and ∠PQR = 30°;

(b) (i) construct I, the locus of all points equidistant from PR and QR;

(ii) locate M, the point where / intersects with PO,

(c) (i) with M as centre and radius MP, draw a circle;

(ii) calculate the area of the circle correct in one decimal place.

[Take Π= 22/7].

6. A sector of angle 135° is removed from a thin circular metal sheet of radius 40cm. It is then folded with the straight edges, coinciding to form a right circular cone. Calculate the:

(a) base radius of the cone, correct to two decimal places.

(b) the greatest volume of liquid that the cone can hold, leaving your answer correct to the nearest cm3. (Take p = 22/7).

7. (a) P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5.

(b) An aeroplane flies from town A (20oN, 60oE) to town B(20oN, 20oE).

(i) If the journey takes 6 hours, calculate, correct to 3 significant figures, the average speed of the aeroplane.

(ii) If it then flies due north from town B to town C, 420 km away, calculates, correct to the nearest degree, the latitude of town C.

[Take radius from the earth = 6400 km and π = 3.142]

8. Two fair dice are thrown.

M is the event described by “the sum of the scores is 10” and

N is the event described by “the difference between the scores is 3”.

(a) Write out the elements of M and N.

(b) Find the probability of M or N.

(c) Are M and N mutually exclusive? Give reasons.

9. (a) In a class of 50 students, 30 offered History, 15 offered History and Geography, while 3 did not offer any of the two subjects.

(i)Represent the information on a Venn diagram.

(ii)Find the number of candidates that are offered:

(A) History only;

(B) Geography only.

(b) A trader sold an article at a discount of 8% for N 828.00. If the article was initially marked to gain 25%, find the:

(I) the cost price of the article;

(ii) discount is allowed.

10. The area of a rectangular football field is 7200m2 while its perimeter is 360m. calculate the:

(a) dimensions of the field;

(b) cost of clearing the field at N6.50 per square meter, leaving a margin of 2m wide along the longer sides;

(c) percentage of the part not cleared.

11. (a) Given the Arithmetic Sequence -6, -2, 1,…, 71, find the:

(i) common difference;

(ii) number of terms of the sequence

(b) The difference between the third and first terms of a Geometric Progression (G. P.) is 42. If the fourth term is greater than the second term by 168, find the:

(i) the first term;

(ii) fourth term of the distribution.

12. The table below shows the distribution of marks scored by students in an examination.

Class interval | Frequency |

60 – 64 65 – 69 70 – 74 75 – 79 80 – 84 85 – 89 90 – 94 95 – 99 |
2 3 6 11 8 7 2 1 |

Calculate, correct to 2 decimal places, the

(a) mean;

(b) the standard deviation of the distribution.

ANS: table.

Class Interval | f | Class Mid-point x | fx | fx2 |

60 – 64 | 2 | 62 | 124 | 7688 |

65 – 69 | 3 | 67 | 201 | 13467 |

70 – 74 | 6 | 72 | 432 | 31104 |

75 – 79 | 11 | 77 | 847 | 65219 |

80 – 84 | 8 | 82 | 656 | 53792 |

85 – 89 | 7 | 87 | 609 | 52983 |

90 – 94 | 2 | 92 | 184 | 16928 |

95 – 99 | 1 | 97 | 97 | 9409 |

Σf = 40 | Σf = 3150 | Σfx2 = 250,590 |

**DISCLAIMER! These are not real WAEC Mathematics questions but likely repeated questions over the years to help candidate understand the nature of their examinations. Ensure to take note of every question provided on this page.**

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