NECO 2013:- 100% REAL MATHEMATICS AVAILABLE HERE

MATHEMATICS SYMBOLS TO BE USED IN THE EXAM

/ 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 NUMBER IT
IS FOLLOWING i.e UNDER. It is
usually used during STATISTICS
when drawing a table.

EXAMPLE 1.

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 8 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

ANOTHER EXAMPLE: Class interval:
60-64,65-69,70-74,75-79,80-84,85
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:
561.12,414.18,273.36,33.66,84.48,4

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.

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 .

6)x bar = mean symbol(x�¯�¯) 7)Pie = pie symbol eg Area of a
circle is (Pie r2).

8)Tita = �¸ eg Sin�¸.

10)Root or Rut or Sqrt or sqr
root = � ; eg Root2 means �2

11)/ means �·

12)----(1) means equation 1                                                                                VISIT WWW.NAIJABUX.TK FOR THE QUESTION & ANSWER      VISIT WWW.NAIJABUX.TK FOR THE QUESTION & ANSWER                               VISIT WWW.NAIJABUX.TK FOR THE QUESTION & ANSWER                       VISIT WWW.NAIJABUX.TK FOR THE QUESTION & ANSWER

VERIFIED NECO MATHS OBJ
1BCABCADDAA
11DDEACDBACA
21ABAACECADB
31ACAEBEBBCD
41EDEDDEDDCA
51CADCEDDEAB visit www.naijabux.tk for more

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(2a) Using almighty formular x= -b+sqrt(b^2- 4ac)/2a =5+sqrt(25-4(2)(3))/2(2) =(5+1)/4 or (5-1)/4 = 1 or (1)1/2
(2b) Volume of cylinder= pieR^2h 352=22/7*4*4*h h=7

(1)
n(AUBUC)=n(A)+n

(AnB)

-n(BnC)+n(AnBnC)

55=21+24+23-6-8 -5+2x+x

55=49+3x

3x=6 x=2



(1i)

21-6-5-x = 21-11-2

physics only=8



(1ii) 6+5+8= 19



(2a) Using almighty formular

x= -b+sqrt(b^2- 4ac)/2a

=5+sqrt(25-4(2)

(3))/2(2)

=(5+1)/4 or (5-1)/4

= 1 or (1)1/2



(2b)

Volume of cylinder= pieR^2h

352=22/7*4*4*h

h=7



(3a)

RD^2=(37)^2- (12)^2

= 1369-144

RD^2=1225

RD=sqrt(1225)

=35cm Area= 35*12=420cm^2



(3b)

((2p+q)/

(p-3q))^1/2=h

sqrt(h)=(2p+q)/ (p-3q)

Psqrt(h)- 3qsqrt(h)=2p+q

Psqrt(h)-2P= q+3qsqrt(h)

P(sqrt(h)-2)= q+3qsqrt(h) P=q

+3qsrt(h)/

sqrt(h)-2



(4a)

(n-2)180=

xn+x=180

x(n+1)

180n-360=xn+x

180n-360=x(n+1)

x=180n-360/

n+1



(4b)

(x+5)/3-(2x-1)/

5=5/6

30((x+5)/3) - 30((2x-1)/5)=

30(5/6)

10x + 50-12x+6=25

56-2x=25 -2x=-31

x=15.5

(5a) perimeter of sector= (tita/360) 2pieR+2r =2(9)+120/360*2*22/7*9 =18+18.86 =36.9cm


(5b) 150/h=tan30 h=150/tan30 h=259.8 approx 260

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