Waec Mathematics Answers 2021 for 20th September

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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

SUBJECT: Mathematics
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2021 WAEC Mathematics Answers [17th September], WAEC Mathematics Questions, WAEC Mathematics 2021 Answers
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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
=============================
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Waec Past Questions and Answers
==>
Monday, 17th August 2020
Mathematics 2 (Essay) 9:30am – 12:00pm
Mathematics 1 (Objective) 3:00pm – 4:30pm
============================
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==>
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

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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

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