Past 2017 top best forum
Today's Date
Nigeria free 2018 Gallery
9ja NOTICE: You are currently viewing this website as a Guest and are restricted from viewing some vital information. For more permissions on Earlyface.com.ng? Like posting Comments, Topics and Uploading contents without Verification And Moderator's approval. Fast loading and quick accessibility. Registration is required. Please Login or Register now to gain full access. It is fast and free!!

CLICK HERE NOW TO BECOME EARLYFACE MEMBER...


Author Topic: CORRECT: 2016/2017 WAEC GCE MATHEMATICS OBJ Essay Theory Questions And Answer Expo/ Runs  (Read 3509 times)

0 Members and 2 Guests are viewing this topic.

Offline JEFFREY96

  • Global Moderator
  • Earlyface VIP
  • Posts: 13571
  • Vote for me: +1209/-140
  • Location: ISLAND

MATHEMATICS OBJECTIVE
1-10 ABCDBCBADB
11-20 DCCCCACDBA
21-30 BDBAABDACA
31-40 CCACBDCDBD
41-50 DACBDABBBC
Completed

1a )
6whole 1 / 2 - 3 whole 2/ 5 / 2whole 1 / 2 - 1
whole 3/ 5
25 / 4- 17 / 5 , / 5/ 2- 8/ 5
125 - 68 / , 20 , / 25 - 16,
/ 10
==> 57 / 20 / 9/ 10
=57 / 20 /9 / 10
=57 / 20 x 10 / 9
=57 / 20 x 10 / 9
=57 / 18
= 3whole 1 / 6
••••••••••••••••••••••••••••••••••

2a) m/m-y+2 = r/y+r-1
r(m-y+2)=m(y+r-1)
rm-ry+2r = my+mr-m
rm+2r-m+mr=my+ry
y(m+r)=rm+2r-m+mr
y=2mr+2r-m/m+r b. p[one of them owns a bicycle]
[60/100+70/100] – [40/100 + 30/100]
Because % of boys that don’t have bicycle =
40/100
% of girls without bicycle = 30/100
=130/100 – 70/100 =60/100
=0.6

1 b)
let the number of students be X therefore total age of students be 15x
15x + 45/x + 1 = 18
15x + 45 = 18 ( x + 1 )
15x + 45 = 18x + 18
18x – 15x = 45 – 18
3 x = 27
X = 27/3
X = 9 students
==================================
2 a)
m / m -y+ 2 = r /y+ r - 1
r ( m -y +2 )=m ( y+ r -1 )
rm- ry + 2 r = my +mr -m
rm+ 2 r -m +mr = my + ry
y( m + r )=rm + 2r - m + mr
y= 2 mr+ 2 r -m / m + r
2 b)
p [one of them owns a bicycle ]
[60/ 100 +70/ 100 ] – [ 40/100 + 30/100 ]
Because % of boys that don ’t have bicycle = 40/ 100
% of girls without bicycle = 30/ 100
= 130/ 100 – 70/ 100
= 60/100
= 0. 6
••••••••••••••••••••••••••••••••••

3a)
c= -1, y= -3, z= -4 and w= -7
x^2 - y^2 / 2w - z
(-1)^3 - (-3)^2 / 2(-7) -(-4)
= -1-9/+4+4 = -10/-10
= 1

3b)
<MNQ = 90 degree
< MQN + < NQO = 90 degree
< MNQ + 46 = 90 degree
< MNQ = 90 - 46 degree
< MNQ = 44 degree
Considering < MNQ
y + n + MQN = 180 degree
y + 44 + 44 = 180
y = 180 - 88
Y =92 degree
••••••••••••••••••••••••••••••••••

4a)
2/3(1-4x) -1/2(5-3x) less/equal to
1/4(7+9x)-1/3
multiply through by 12
8(1-4x) -6(5-3x) less/equal to 3(7+9x)-4
8-32x-30+18x less/equal to 21+27x-4
-32x+18x - 27x less/equal to 21-4+30-8
-41x less/equal to 39
x less/equal to -39/41

4b)
DRAW THE ANGLE
from DTMR/
Tan65degree = TR/3
TR = 3Tan65
= 3 x 22.1445 From DRMB
Tan20 = RB/3
RB = 3Tan20
= 3 x 0.3640
= 1.092m
H = TR+RB
= 6.4335 + 1.092
= 7.5255
= 7.53m
••••••••••••••••••••••••••••••••••

5) Area of shed segment = Area of Sector - Area
of Triangle
=Φ/360*πr^2 - (½abSinc)
=$90/360*22/7*7^2) - ½*7*7*sin90`
=154/4-42/2
=754-98/4
=56/4
=14cm^2
Cost of painting it =14*750
=N10500
••••••••••••••••••••••••••••••••••
6a) Taxable income = x
25/100 x x/1
= 14,000
25x=1400000
X=1400000/25
X= 560000
Total income = 56,000/4 x 5
=70,000

6b)
Education = 2/5
Clothes = 1/6
Food = 3/8
Expenditure = 2/5 + 1/6 + 3/8
48+20+45/120 = 113/120 * 36,000/1
Le 39,000
Savings annually = Le 21,000
To save Le 63,000.00
To save Le 63,000/2100 yrs
= 30 year
••••••••••••••••••••••••••••••••••

(7a)
diagram

(7b)
Angula difference in long(tita)=42-12
tita=30 degree

(7bi)
lenght of chord Xy=2Rsin tita/2
XY=2*6400*Sin 30/2
=2*6400*sin15 degree
=12800*0.2588
=3.312.64km =3312.64km
=3310km(to the nearest 10km)

(7bii)
let the angle that the chord xy substends at the
centre of the earth be alpha degree
diagram
sin alpha/2= opp/hyp=/NY/ /6400
/NY/= 1/2 /XY/= 1/2 * 3312.64 =1656.32km
sin alpha/2= 1656.32/6400
sin alpha/2= 0.25888
alpha/2= sin^-1(0.258
alpha/2=14.999
alpha=14.999 *2 alpha= 29.998
alpha= 30.0 degree (to 1 dp)

(7biii)
XY bar= tita/360 * 2pie R cos lat
=30 degeree/360 * 2*3.142 * 6400* cos60
XY bar= 30/360 * 2* 3.142* 6400* 0.5
XY bar=1675.73 km
••••••••••••••••••••••••••••••••••
8a)
Drawing

8bi)
Using Pythagoras theory
|xz|² =550²+320² = 302500+102400=404900
xz=√404999
=636km(3 s.f)
Total distance = 320+550+636
= 1506km

8bii)
Using SOHCAHTOA
Tan z = 320/550
Z= Tan-Ή (320/550)
Z= Tan-Ή( 0.5818 )
Z = 30° From the diagram in 8a
Bearing of X from Z = 55+30
= 085° or N85°E
••••••••••••••••••••••••••••••••••
9 a)
3 log 10^ 2 - 2log 10^3 = 1 + log ( 1/ x)
log 10^ ( 2 )^3 - log 10^ ( 3)^2 - log 10^( 1 / x) = 1
Log10^ ( 8 / 9 ) / ( 1 / x) = log 10^10
8 / 9 * X / 1 = 10
8 x = 9 *10
8 x = 90
X = 90/8
= 11.25

9b)
Distance= speed * time Distance= 3km/h * 3mins
= 3000m/60min * 3min
=50*3
=150min.

9bi)
Circumference= 150m
2π(r+1) = 150
22/1 * 22/7 * (r+1)= 150
r+1= 150*7/44
=1050/44 r+1 = 23.9 ≈ 24 to the nearest whole number.
r+1= 24
r=24-1 = 23min

9bii)
Volume of cylinder=πr²h
Volume= 22/7 * (23)² * 8
22/7 * 529/1 * 8/1
= 93104/7 = 13,300.57
13301m³ to the nearest whole number
••••••••••••••••••••••••••••••••••
10a)
GIVEN : y = 2 X ^ 2 - 3X – 1
When x = - 3
Y = 2 ( - 3)^2 - 3 ( -3 ) – 1 = 18 + 9 – 1 = 26
When x= -1
Y = 2 ( -1 )^2 – 3 ( -1 ) -1 = 2+ 3 -1 = 4
When x = 1
Y = 2 ( -1 )^2 – 3 ( 1) - 1 = 2 – 3 – 1 = -2
When x = 2
Y = 2 ( 2 )^2- 3 ( 2) - 1 = 8 – 6 – 1 = 1
When x = 3
Y =2 ( 3 ) 3 -3 ( 3 ) -1 = 18-9 -1 = 8
When x = 4
Y = 2 ( 4)^3 – 3 ( 4 ) -1 = 32-12- 1 = 19

   
To be getting all EarlyFace confirmed Updates (latest news in town, free browsing cheats, hottest FREEBIES, post-UTME tips, school matter and Exam stuff) for free through your Facebook and Twitter profile;
 
  • CLICK HERE to Like EARLYFACE on Facebook
  •  
  • CLICK HERE to Follow EARLYFACE on Twitter

  •    
    How To Create A Topic On Earlyface
     
    How To Create A Topic or Post On Earlyface as a Novice.

     

    Related Topics

      Subject / Started by Replies Last post
    23 Replies
    17748 Views
    Last post August 31, 2016, 01:28:19 pm
    by emeka samuel
    21 Replies
    13450 Views
    Last post April 12, 2016, 03:58:03 pm
    by akinwumi4luv
    28 Replies
    35067 Views
    Last post April 21, 2016, 03:03:12 pm
    by domjoett
    2 Replies
    3636 Views
    Last post May 30, 2016, 11:04:35 am
    by Sureboysage
    5 Replies
    1912 Views
    Last post September 05, 2016, 09:23:45 am
    by gifty96
    9 Replies
    2086 Views
    Last post September 08, 2016, 11:05:06 am
    by eacom1
    4 Replies
    2736 Views
    Last post February 02, 2017, 04:20:42 pm
    by emeka samuel

    Updated Topics

    NetContacts Membership Invitation by wedco893
    March 26, 2024, 06:42:58 pm

    NetContacts Membership Invitation by wedco893
    March 26, 2024, 06:26:58 pm

    CORRECT: 2024/2025 JAMB RUNS SUBSCRIPTION( REFORMED PACKAGES) by MANDINHO
    March 24, 2024, 09:11:15 pm

    UK FOOTBALL POOLS COUPON | 30TH MARCH 2024 | WEEK 39: X-02-X by wedco893
    March 24, 2024, 07:40:25 pm

    UK FOOTBALL POOLS COUPON | 23RD MARCH 2024 | WEEK 38: X-05-X by wedco893
    March 18, 2024, 06:52:10 pm

    Solve you've been logout for using unofficial Whatsapp app Gb Whatsapp problem by Wiz.gee
    March 16, 2024, 02:18:51 am

    Girls: Female's Education Ends In Kitchen by Babatunde aliyat
    March 12, 2024, 06:12:54 am


    FBLike US on Facebook.. TWFollow US on Twitter..

    Portal
    Forum
    RSS Feeds
    FAQ
    Members Intro
    Announcements
    Privacy Policy
    Terms Of Use
    Partners
    About Us

    Problem Solutions
    Global News
    Sports
    Celebs
    Politics
    Gists In Town
    General
    Song Lyrics
    Dating
    Religion

    Examination
    Post-UTME/Admission
    School News
    Online Reading
    Scholarship
    Education
    Entertainment
    Download Links
    Stories
    Fashion

    MTN NG
    9Mobile NG
    Airtel NG
    Glo NG
    World Networks
    Pc Tweaks
    Mobile Phone
    Computer Tips
    WebMaster
    Programming

    Browsing Cheats
    Net Tricks
    Health n Welfare
    Latest Jobs
    EarlyFace Group Of Nigeria © 2022