Waec Mathematics Answers 2021 for 20th September

By Bilal Sani October 18, 2023 WAEC 1 Comment

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Waec Mathematics Answers 2021 for 17th September 202

Monday, 20th September 2021

General Mathematics/Mathematics (Core) 2 (Essay) 9:30am. –12:00noon.
General Mathematics /Mathematics(Core) 1 (Objective) 3:00pm. – 4:30 pm.

EXAM TYPE: WAEC 2021

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AREA OF CONCENTRATION FOR MATHEMATICS WAEC

◼Number bases and Indices

◼Logarithms, Sequence and Series
Sets and Surds

◼Variation And Algebraic Processes

◼Mensuration and Plane Geometry

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◼coordinate Geometry Of Straight Lines

◼Trigonometry

◼Statistics And Probability.

UNITS Candidates should be familiar with the following units and their symbols.

( 1 ) Length 1000 millimetres (mm) = 100 centimetres (cm) = 1 metre(m). 1000 metres = 1 kilometre (km)

( 2 ) Area 10,000 square metres (m2) = 1 hectare (ha)

( 3 ) Capacity 1000 cubic centimeters (cm3) = 1 litre (l)

( 4 ) Mass 1000 milligrammes (mg) = 1 gramme (g)

1000 grammes (g) = 1 kilogramme( kg )

1000 ogrammes (kg) = 1 tonne.

OTHER IMPORTANT INFORMATION

( 1) Use of Mathematical and Statistical Tables Mathematics and Statistical tables, published or approved by WAEC may be used in the examination room. Where the degree of accuracy is not specified in a question, the degree of accuracy expected will be that obtainable from the mathematical tables.

(2) Use of calculators The use of non-programmable, silent and cordless calculators is allowed. The calculators must, however not have the capability to print out nor to receive or send any information. Phones with or without calculators are not allowed.

MATHS SYMBOLS TO NOTE FOR MATHEMATICS EXPO 2021

__________________

/ means DIVISION

* means multiplication

tita u should know dat.

rais means raise to power

^ means raise to power

sqr rut/ squar rut means square root

—-(1) means equation 1

yr means year

f(x-xbar) means x MINUS x BAR as in statistics

which means that MINUS WILL BE ON TOP OF x.

, (Comma) means NEXT LINE, THIS MEANS THAT THE FOLLOWING NUMBER IS UNDER THE

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NUMBER IT IS FOLLOWING i.e UNDER.

It is

usually used during STATISTICS when drawing a

table.

X:1,2,3,4,

FX: 4,6,8,10

FX-Xbar: 10,8,6,4,

DRAW A TABLE WITH X|FX|(FX-Xbar)

The above statement means that:

~For X, it has 1 2 3 4 5 6 under it. which means 1

is under 2, 2 is under 1, 3 is under 2, 4 is under 3

and so on…

~Under FX you have 4, then 6 under 4, then 8g

under 6, then 10 under 8, then 12 under 10…..

~Under FX-Xbar you have 10, then 8 under 10,

then 6 under 8, then 4 under 6, then 2 under 4,

then 1 under 2….

IN A CLEARER WAY:

→ comma means NEXT LINE(e.g)

x : 1,2,3

fx : 4,5,6

fx-xbar : 10,8,6,4

x|fx |fx-x¯¯|

1| 4 | 10 |

2| 6 | 8 |

3| 8 | 6 |

4| 10| 4 |

Class interval:

60-64,65-69,70-74,75-79,80-84,85-89,90-94,95-99.

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X: 62,67,72,77,82,87,92,97.

F: 2,3,6,11,8,7,2,1.

FX: 124,201,432,847,656,609,184,97.

F(x-x bar)2:

561.12,414.18,273.36,33.66,84.48,476.42,351.12,333.06

MEANING OF THE ABOVE EXPRESSION:

Bar means Minus on top of d number or Variable

and comma means next line which means each of

them are unda. Eg 60-64 is unda Class interval,

then 65-69 is unda 60-64,etc .So comma means

unda.

NOTE THAT WHEN U SEE SOMETHING LIKE THE

ABOVE TWO EXAMPLES, U WILL NEED TO DRAW A

TABLE..

YOU NEED TO KNOW THESE ALSO:

MATHS CODES:

1) ,(comma) means next line.

(e.g)

x : 1,2,3

fx : 4,5,6

fx-xbar : 7,8,9

x|fx |x¯¯|

1| 4 | 7 |

2| 5 | 8 |

3| 6 | 9 |

2)*=multiplication sign. y

3)^ = Riase to pwer

4)P also means raised to power eg 10P6 means 10 raised to power six.

5)log3(base 4) ..Note:the base must be SUBSCRIPT .

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6)x bar = mean symbol(x¯¯)

7)Pie = pie symbol eg Area of a circle is (Pie r2).

8)Tita = θ eg Sinθ.

10)Root or Rut or Sqrt or sqr root = √ ; eg Root2 means √2

11)/ means ÷

12)—-(1) means equation 1

=============================

*NOTE* don’t be panic my VIP expo will also be solved on paper and snapped for the low student

Waec Past Questions and Answers

==>
Monday, 17th August 2020

Mathematics 2 (Essay) 9:30am – 12:00pm

Mathematics 1 (Objective) 3:00pm – 4:30pm

============================

Please call 07062154881 to subscribe, today is just grace, no free answer tomorrow

==>
MATHEMATICS OBJ:
1-10: CBCDACDCCD
11-20: AADBDACBBC
21-30: BDDABDCDAD
31-40: CBACCCCCDA
41-50: BBBADCCABA

============================

QUESTION 1

(1a)

Given A={2,4,6,8,…}

B={3,6,9,12,…}

C={1,2,3,6}

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U= {1,2,3,4,5,6,7,8,9,10}

A’ = {1,3,5,7,9}

B’ = {1,2,4,5,7,8,10}

C’ = {4,5,7,8,9,10}

A’nB’nC’ = {5, 7}

(1b)

Cost of each premiere ticket = $18.50

At bulk purchase, cost of each = $80.00/50 = $16.00

Amount saved = $18.50 – $16.00

=$2.50

8 / 46

9 / 46

QUESTION 2

(2ai)

P = (rk/Q – ms)⅔

P^3/2 = rk/Q – ms

rk/Q = P^3/2 + ms

Q= rk/P^3/2 + ms

(2aii)

When P =3, m=15, s=0.2, k=4 and r=10

Q = rk/p^3/2 + ms = 10(4)/(3)^3/2 + (15)(0.2)

= 40/8.196 = 4.88(1dp)

(2b)

x + 2y/5 = x – 2y

Divide both sides by y

X/y + 2/5 = x/y – 2

Cross multiply

5(x/y) – 10 = x/y + 2

5(x/y) – x/y = 2 + 10

4x/y = 12

X/y = 3

X : y = 3 : 1

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QUESTION 3

(3a)

Diagram

CBD = CDB (base angles an scales D)

BCD+CBD+CDB=180° (Sum of < in a D)

2CDB+BCD=180°

2CDB+108°=180°

2CDB=180°-108°=72°

CDB=72/2=36°

BDE=90°(Angle in semi circle)

CDE=CDB+BDE

=36°+90

=126

(3b)

(Cosx)² – Sinx given

(Sinx)² + Cosx

Using Pythagoras theory thrid side of triangle

y²= 1²+√3

y²= 1+ 3=4

y=√4=2

(Cosx)² – sinx/(sinx)² + cosx

(1/2)² – √3/2/

(√3/2)² + 1/2 = 1/4 – √3/2 = 1-2√3/4

3/4+1/2 = 3+2/4

=1-2√3/4 * 4/5

=1-2√3/5

About Author

Bilal Sani

Bilal Sani is a passionate educator and a seasoned exam expert who has helped thousands of students achieve their academic goals. He has a wealth of experience and knowledge in various subjects and exam formats, such as WAEC, NECO, JAMB, NABTEB, GCE and others. He is dedicated to providing quality and reliable exam resources and guidance for students who want to excel in their exams. He also updates his website regularly with the latest exam news, syllabus, timetable and past questions. Expobite is the ultimate exam solution website for Nigerian students.

One Comment

Daniel Moses September 19, 2021

tomorrow please mathematics
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