NECO GCE 2021 MATHEMATIC ESSAY AND OBJ ANSWERS-NOV/DEC EXPO

NECO GCE 2021 MATHEMATICS ESSAY AND OBJ ANSWERS-WWW.EXAMKING.NET
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MATHS-OBJ
1CACAADBBEC
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Completed
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MATHS- ESSAY
(1a)
Principal, P =₦15,000
Amount = 5/4 = 5/4 × 15,000
= ₦18,000
Simple interest, I = A – P
= = ₦18,000 – ₦15,000
= ₦3,750
I = PRT/100
i;e T = 100I/PR
= 100×37,50/15,000×25
= 4×1/4 = 1year

(1b)
A = P(1+R/100)^T
= 4,000(1+5/100)²
= 4,000×(1.05)²
= 4,000×1.1025
= ₦4,410
Compound interest = A – P = ₦4,410 – ₦4,000
= ₦410
(1)

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(2a)
3/x = 9/8x+20
3(8x+20) = 9x
24x+60 = 9x
24x-9x = 60
15x = 60
x = 60/15 = 4

(2b)
x+y/x-y = (x/y+1)/(x/y-1)
x/y = 2u/1-u × 1+u/1-u
= 2u²+2u/1-2u+u²
(x/y+1)/(x/y-1) = (2u²+2u/1-2u+u²) + 1/(2u²+2u/1-2u+u²) – 1
= 2u²+2u+1+1-2u+u²/2u²+2u-1+2u-u²
= 3u²+1/u²+4u-1
(2)

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(3a)
Using SOHCAHTOA,
H – 1.8/35 = Tan40°
H – 1.8 = 35Tan40° = 35×0.8391
H – 1.8 = 29.3685+1.8
H = 31.1685
Height of building = 31.2m

(3b)
Using Sine rule,
QR/Sin20° = 20/Sin50°
QR = 20Sin20/Sin50°
QR = 20×0.3420/0.7660
QR = 8.93km
(3a)

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(3b)

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(4)

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(5)
Pls use No5 Below

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(6)

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(7)

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(9)

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10)

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(12)


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