%100 VERIFIED 2016 NECO GEN. MATHEMATICS OBJ AND ESSAY ANSWERS

2016 Neco Maths Obj ( Verified )
1=10 deacdacbbe
11=20 cbaeebdacc
21=30 deedacbbce
31=40 abdcebaeec
____________________
41=50 caadedbaea
51=60 edeacbacdb
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Number 1

1a) Tabulate
| × | 1 | 2 | 3 | 4 |
| 1 | 1 | 2 | 3 | 4 |
| 2 | 2 | 4 | 0 | 2 |
| 3 | 3 | 0 | 3 | 0 |
| 4 | 4 | 2 | 0 | 4 |
b) I = PRT/100 = #15,000 × 10 × 3/100
= #150 × 10 × 3 = #1,500 × 3
= #4,500

Number 2

2a) a/sin A = b/sin B = 6/sin30° = b/sin120° => bsin30° = 6sin120°
b=6sin120°/sin30° = 6 × 0.8660/0.5 = 5.196/0.5 = 10.392cm ? 10.4cm
b) AC/YX = BC/XC = AC/9 = 18/6
cross multiply
6|AC|/6 = 18×9/6
|AC| = 3×9 = 27cm
6) ____________________
/ 41.02 × ?0.7124
/ ———————————
?42.87 × 0.207 × 0.0404
| No | Log |
| 41.02 | 1.6130 | 1.6130
| 0.7124 | T. 8527 ÷ 2 | T.9263/1.5393
| 42.77 | 1.6321 |
| 0.207 | T.3160 |
| 0.0404 | 2. 6064 / |
| | T.5544 | T.5544/1.9849
Antilog = 9658 ? 96.58


Number 7

7a)
3²?+¹ — 4(3?+¹) + 9 = 0
3²? × 3 — 4(3?× 3¹) + 9 = 0
(3?)² × 3 — 4(30?× ) + 9 = 0
Let 3?= x
3x² — 4 × 3 × x + 9 = 0
3x² — 12x + 9 = 0
Divide all by 3
3x²/3 — 12x/3 + 9/3 = 0
x² — 4x + 3 = 0
x² — 3x — x + 3 = 0
x(x—3) -1(x—3) = 0
(x—3)(x—3) = 0
x—3 = 0 or x—1 = 0
x = 3, x = 1
Substitute x = 3
3? = 3 or 3? = 1
3? = 3¹ or 3?= 3°
n = 1 or n= 0
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7b)
log(x² + 4) = 2 + logx — log20
log(x² + 4) = log200 + logx — log20
log(x² + 4) = log 200 × x/20
x² + 4 = 200x/20
x² + 4 = 10x
x² — 10x + 4 = 0
-b² ± ?b² — 4ac/2a
10 ± ?(-10)² — 4 × 1 × 4/2 × 1
10 ± ?100 — 16/2
10 ± ?84/2
10 ± 9.165/2
10 + 9.165/2 or 10 — 9.165/2
19.165/2 or 0.835/2
9.5825 or 0.4175

Number 4

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4a) Convert 30000 litres to metres
= 30000/1000 metres
= 30metres
Depth of fuel = h × 7.5×4.2 = 30m³
= 31.5hm³ = 30m³
= h = 30m³/31.5m
= h = 0.9m
4b) Depth of the tank = l × b × h, where l = 7.5, b = 4.2, h = 1.2
= (7.5 × 4.2 × 1.2)m³
= 37.8m³
Convert metres to litres = 37.8 × 1000litres
= 37800litres
Litres of fuel needed to fill the tank = 37800litres/30800litres
= 7800litres

Number 5

5a)
Building = #48, 000
Education = #32, 000
Food = x
Saving = #19, 200
Maintain = #12, 000
Miscellaneous = #7200
5b)
Food = 48000 + 32000 + 19200 + 1200 + 7200 + x = 144000
Food => 118400 + x = 144000
Food => x = 144000 — 118400
Food = x = #25, 600