# ### BE OUR WAEC, GCE JAMB CBT AGENT AND MAKE MONEY FROM IT CLICK HERE

Quick Contact WHATSAP/SMS ONLY 09061831432 S/LEONE WASSCE PAGE GHANA WASSCE PAGE  ### CONFIRMATION PAGE CLICK HERE TO VIEW OUR ANSWER PAGE

# WAEC GCE 2019/2020 MATHEMATICS OBJ AND ESSAY EXPO | MATHS QUESTIONS AND ANSWERS VERIFIED

### (1a)

Tabulate

X|2|3|4|5|7|

2|4|6|2|6|

3|6|1|7|5|

5|2|7|1|3|

7|6|5|3|1|

(1bi)

n=7,i;e 3 (*)7=5

(1bii)

n(*)n=1, n=3

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

(2a)

Given; slant height l = 18.7cm

Diameter, d = 24cm

π = 22/7

But, Curved surface area of cone = πrl

=π(d/2)l

= 22/7 × 24/2 × 18.7

=9873.6/14 = 705cm²

(2b)

128^x × 2/16^(1-x) = 8⅔x

= 2^7x × 2/2^4(1-x) = 2³(⅔x)

= 2^7x + 1/2^4(1-x) = 2^2x

Cross multiply

2^4(1 – x) + 2x = 2^7x + 1

4(1 – x) + 2x = 7x + 1

4 – 4x + 2x = 7x + 1

4 – 2x = 7x + 1

9x = 3

X = 3/9 = 1/3

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

(3a)

3√3/2 – 4√2/3 – √24

=3√3/2 – 4√2/√3 -√6*4

=(3√3/√2 × √2/√2) – (4√2/√3 × √3/√3) – 2√6

=3√6/2 – 4√6/3 – 2√6

=(3/2 – 4/3 – 2)√6

=(9 – 8 – 12)√6

= -11/6√6

(3bi)

prob(only one passes) = m passes and N fails or M fails and N passes

Prob (M passes) = 2/3; prob(M fails) = 1 – 2/3 = 1/3

Prob(N passes) = 4/5; prob(N fails) = 1 – 4/5 = 1/5

Prob(only one passes) = (2/3 × 1/5) + (1/3 × 4/5)

= 2/15 + 4/15

= 6/15

= 2/15

(3bii)

prob(at least one passes) = prob(only one passes) + prob(both parties)

= 2/5 + (2/3 × 4/5)

= 2/5 + 8/15

= 6/15 + 8/15

= 14/15

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

(4a)

17²=X²+15²

17²=X²+225

289-225=X²

64=X²

C=√64=8

Tanθ=18/15

Tanθ/1+2tanθ=18/15/1+2(8/15)=8/15/1+16/15

=8/15÷31/15=8/15*15/31=8/31

(4b)

Log^10/Log^64=½

Log10^10=Log10^64^½

y=√64=±8

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

(5a)

Obtuse Reflex

Obtuse

Obtuse

= 164°

OMP + OPM + Obtuse MOP = 180°(

OMP + OPM + Obtuse MOP = 180°(

But OMP = OPM = x(radius of the circle and hence base angles are the same)

2x + 164 = 180

2x = 180 – 164

2x = 16°

X = 16/2 = 8°

Also MNP = 1/2×obtuseMOP

= 1/2 × 164°

= 82°

Now; MNP + NMP + NPM = 180° (

82 + (52+8) + (m+8) = 180°

m + 150 = 180°

M = 180 – 150

M = 30°

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

(6a)

2^m*(1/8)^n = 128

2^m *2^-n = 2^7

m-3^n=7 ———(eq1)

4^m÷2^-4n=1/6

2^2m÷2^-4n=2-4

2m+4n=-4

m+2n=2 —–(eq2)

Subtract from (2)

m+2n-(n-3n)=-2-7

m+2n-m+3n=-9

5n/5=-9/5

n=-9/5

Sub for n in eq2

m+2(-9/5)=-2

m-18/5=-2

m=-2+18/5=8/5

;(m-n)=5/5-(-9/5)=17/5

(6b)

(-2,½) and (1-⅔)

y2-y1/x1-x2 = y-y1/x-x1

-⅔-½/1-(-2) = y-½/x-(-2)

-7/6/3=y-½/x+2

-7/18*y-½/x+2

(y-½)18=-7(x+2)

18y-9=-7x-14

18y=-7x-14+9

18y/18=-7x/18-5/18

y=-7x/18-5/18

18y=-7x-5

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

5th –> 11

8th –> 20

a + (n -1)d = 11

a + (5ˉ¹)d = 11

a + 4d = 11 –> (i)

a + 7d = 20 –> )ii)

a + 7d – a – 4d = 20 – 11

7d – 4d = 9

3d = 9

D = 9/3 = 3

D = 3

From eqn (i)

a + 4d = 11

a + 4 x 3 = 11

a + 12 = 11

a = 11 – 12

a = 1

(8ai)

Tn = a + (m-1)d

T₂ = -1 (12 – 1) 3

= -1 + 11 x 3

= -1 + 33

T12 = 32

(8aii)

Sn = n/2 [2a + (n – 1)d]

= 12/2 [ 2 x (1) + 11 x 3]

= 6 [ -2 + 33)

= 6 (31)

= 186

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

(9i)
DRAW THE DIAGRAM

n (U) = 110
n (P) = 25
n (B) = 45
n (M) = 48
n (Pnm) = 10
n (Bnm) = 8
n (pnBnm) = 5

(9ii)
for biology = 45 = 36

(9iii)
x + 14 + 1 + 5 + 5 + 36 + 3 + 35 = 110
x + 25 + 36 + 38 = 110
x = 110 – 99
x = 11

(9b)
15 = 22 + 18 + 2 x 1 + 10 +20/5
15 x 5 = 40 + 2x + 31
45 = 71 + 2x
45 – 71 + 2x
2x/2 = -26/2
X = 13
22, 18, 2x + 1, 10 , 20
For 2x (-B) +1 = -26 +1 = -25
22, 18, -25, 10, 20
-25, 10, 18, 20, 22
The media is 18

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

(10a)

Loan borrowed = 80/100 × 350,000

=280,000

Amount paid to the bank after 8 years = P + I

= P + PRT/100

=280000 + 280000×7×8/100

=280,000 + 156,800

Amount = #436,800

Total cost of house to the man = #350,000 + Interest

= #350,000 + 156,800

= #506,800

(10b)

Percentage increase in cost of house = 506,800 – 350,000 × 100%

= 156,800/350,000 × 100%

= 44.8%

(c) Percentage loss = loss/cost price × 100%

=(506,800 + 10,000) – 460,000/(506,800 + 10,000) × 100%

= 516,800 – 460,000/516,800 × 100%

56,800/516,800 × 100%

= 0.1099 × 100%

= 10.99%

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

(12)

Draw the diagram

x² = 20² + 8² – 2x 20 x 8 x Cos 50º

x² = 400 + 64 – 320 x 0.6427

x² = 464 – 205.7

√x² = √258.3

x = 16.1

x = 16km

(12ai)

TJ = 16km

(12aii)

sinØ/20 = sin50/16

sinØ = 20 x sin 50/16

sinØ 0.9576

Ø = sinˉ¹ 0.9576 = 73.3º

The bearing 90 -73.3 = 16.7º

(12b)

Draw the diagram

y = √12² + 5²

y = √144 + 25

y = √169 = 13

tan Ø = 5/12 = (0.04167)

Ø = tanˉ¹ (0.4167) = 22.6º

Sin Ø = 5/6 + x

Sin 22.6º = 5/6 + x

(0.3843) (6 + x) = 5

2.3058 + 0.3843x = 5

0.3843x = 5-2.3058

0.3843x/0.3843 = 2.6942/0.3943

X = 7.01

X ≈ 7

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

(13a)

Draw the diagram

(i) Extend DO to touch AB at M

AOD + AOM = 180°(

130 + AOM = 180°

AOM = 180 – 130 = 50°

Also;

BMO = BAO + AOM(Ext < = sum of two opposite interior

BMO = 26 + 50 = 76°

Also; ABD = 1/2AOD(angle at centre = twice angle at circum)

ABD = 1/2 × 130

=65°

Hence ODB + ABD + BMO = 180°(sum of

ODB + 65° + 76° = 180°

ODB = 180 – 141

= 39°

(ii) BOD + ODB + DBO = 180°(sum of

But ODB = DBO(base angles of an isosceles triangle)

BOD + 39° + 39° = 180°

BOD + 78° = 180°

BOD = 180 – 78 = 102°

(13b)

|1 2 6

3|1,3 2,3 (6,3)

4|1,4 2,4 (6,4)

5|1,5 2,5 (6,5)

prob (greater than 7) = 3/9 = 1/3

### Note: WAEC GCE PAYMENT IS ON NOW, SUBSCRIBE FOR IT TO GET

DAILY SUBSCRIPTION FEE FOR BIOLOGY ANSWERS

WhatsApp Message: #500 MTN CARD

OUR DELIVERY PATTERN:

package we send you the password to unlock
an answer page and access your

—————————-
WhatsApp Message: In this
on WhatsApp were we will post answers to
you.
HOW TO SUBSCRIBE OR MAKE PAYMENT

Send

Subject Name (e.g Health edu),
MTN Recharge Card Pin(s)
and
09061831432 YOU CAN ADD US ON WHATSAPP 09061831432
Please don’t call, just send us text
message, We don’t attend to calls because of too many calls. We are always busy.

Categories: Gce