# [WAEC GCE 2019] 2019 Waec Gce General Mathematics Essay and Objective Questions and Answers

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2019 Waec GCE Confirmed real and Verified 2019 WAEC GCE – Correct MATHEMATICS essay and objectice Questions And Answers Now Posted Here…

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Saturday, 7th September, 2019

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

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Solutions Now Available Here…..

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MATHS SOLUTIONS

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MATHS OBJ
1-10: BBDCCBCBBA
11-20: BCBDCDBDDB
21-30: BCBD-BAACA
31-40: AABBDABCCB
41-50: BBBDBCBCDB

(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

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(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

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(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   8b) m+n=5…………(1)
m-n=4………(2)

m=5-n……(3)
Substituting the value of m in equ(2)
(5-n) – n=4
5-2n=4
-2n=4-5
n=1/2

Substituting the value of n in equ(3)
m=5-1/2
m=10-1/2
m=9/2

m² – n²
=(9/2)² – (1/2)²
=81/4 – 1/4
=80/4
=20

(5a)
Obtuse Reflex
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