Tuesday, August 18, 2020

Waec 2020 2021 answer

aths O B J 1-10.DCBCABBADA 11-20.CCBCABABBA 21-30.AACCDCDABC 31-40.BCDCDCBABA 41-50.ACADBBDADD MATHS- ANSWERS ================================ 6a ) Sn= n /2 (2 a +( n- 1 ) d ) A =1 , d= 2 , n = n Sn= n /2 (2 * 1 + (n - 1) 2) N /2 (2 + 2, - 2 ) =n / 2* 2 =n ^ 2 6b ) n( E )=95 , n( BnT )=7 N (U )=95 , n (BnTnC ')=7 n (B 'nTnC )=3 , n (BnTnC )=8 n( BnT 'nC ')=x , n( BnT 'nC ) , n ( b)=47 , n (T )=30 i ) Draw d venn diagram ii) To find x , X +x + 7+ 8 =47 2x = 47 - 15 = 32 X =32 /2 =16 iii) No of those who travelled by at least two means 7+ 3 + 16 + 8= 34 (6b) IMG: IMG-20160421-WA016.jpg(93.37 KB) 13 a ) (x 1 , y 1) = (2 , - 3) for 2x + y = 6 y = - 2x + 6 compare y = mx +6 m2 = - 2 for parallel lines , m1 = m2 : y - y 1 / x - x 1 = m y - - 3/ x - 2 = - 2 / 1 y + 3 = - 2 (x - 2 ) y + 3 = - 2 x + 4 y = - 2 x + 4 - 3 y = - 2 x + 1 (11a ) 3p + 4 q/ 3p - 4q * 2 /1 find p: q 1( rp+ 4q )= 2 ( 3p - 4q ) 3p + 4 q= 6 p- 8 q Collect like terms 3p - 6p = - 8 q - 4 q - 3 p =- 12 q Ther 4 p : q = - 3 p/ - 3 = - 12 q /- 3 P =4 q , p = 4, q =1 P : q = 4: 1 11 b ) Ts = pq - (2 + 2) Ts = pq - 4 Circumference of Ts = 2pie (TS ) 11 bi. Ts = pq - (2 + 2) Ts = pq - 4 Circumference of Ts = 2pie (TS ) =2 pie (pq - 4 ) Perimeter= pq + 4+ 4 + 2+ 2 +2 pie (pq - 4 ) 34 = pq + 12 + 2 pie ( pq - 4 ) 34 - 12 = pq + 2 piePQ- 8 pie 22 = PQ( 1 +2 pie ) - 8pie 22 = pq ( 1( 2* 22 / 7 ) - 8* 22 / 7 22 = pq ( 1+ 44 / 7 ) - 176/7 22 = PQ( 7 +44 /7 ) - 176/7 22 + 176/7 = pq ( 51 / 7) 154+176/ 7 =Pq (51 /7 ) 330/7 = pq (51 /7 ) 330/51 =pq Pq = 6 . 4706 11 bii . TS = PQ - 4 = 6. 4706- 4 =2 . 4706 m Area of semi circle TS =pieD =7 . 7626m^ 2 Area of rectangle PqRU=| pu |*| Pq | 4** 6. 4706= 25 . 8824 Area of the cross section = area of rectangle- area of semi circle =25 . 8824 - 7. 7626 =18 . 1198 m^ 2 (No9) IMG: IMG-20160421-WA022.jpg(0 B) 9a ) x 62 63 64 65 66 67 68 tally 1 iiiii iiiii iiiii ii iiii iiii iiii iiiii iiiii iiiii i ii freq 1 5 12 14 10 6 2 total = 50 fx 62 315 768 910 660 402 136 tot = 3253 x - x - - 3 . 06 - 2. 06 - 1 . 06 0 . 06 0. 94 1 . 94 2 . 94 (x - x - ) 9. 3636 4. 2436 1. 1236 0 . 0036 0 . 8836 3 . 7636 8. 6436 f ( x - x ) 2 9 . 3636 21 . 218 13 . 4832 0 . 0504 8 . 836 22 . 5816 17 . 2872 tot = 92 . 82 bi) mean = EFX/EF = 3253 /50 = 65 . 06 bii ) Standard deviation = Square root of EF (x - x ) 2/ Ef = Square root of 92 . 82 /50 = square root of 1. 8564 = 1. 36 7a ) x - 2 /4 : x + 2 /2 x Cross multiply 2x ( x - 2 )=4( x + 2 ) Opening the bracket 2x ^ 2- 4 x = 4x + 8 Collect like terms together 2x ^ 2- 4 x - 4 x - 8 =0 2x ^ 2- 8 x - 8 =0 Solving with completing the square method 2x ^ 2- 8 x = 8 Divide through with the coefficient of x ^ 2 2x ^ 2/ 2 - 8 x /2 = 8/ 2 X ^ 2 - 4 x = 4 Half of coefficient of x (- 4 x 1/ 2 )^ 2 = (- 2)^ 2 X ^ 2 - 4 x + (- 2)^ 2 = 4+ (- 2 )^ 2 X ^ 2 - 4 x + (- 2)^ 2 = 4+ 4 (x - 2 )^ 2 = 8 X - 2 : square root 8 X =2 + or - squar root 8 X =2 + square root 8 or x =2 - square root 8 X =2 + 2. 828=4 . 828 X =2 - 2. 828= - 0 . 828 X =4 : 83 or - 0 . 83 . 8a ) < KGF = 110 2x = r = y if < KGF = 110, < MGH = 180 - 110 < MGH = 70 degree < HMG = Y < MHG = 180 - Y - 70 < MHG = 110 - Y < LHJ = 180 - (110 - Y ) =180 - 110 + Y = 70 + Y nOW : X + r + 70 + y = 180 2x = r + - y if 2x = r x = r / 2 =y : x + 2 x + 70 + 2x = 180 5x = 180 - 70 = 110 x = 110/5 = 22 degree 8b ) let A collection of boy be X and that of girl be y Tot collected by boy 600 + Y = x Tot collected by girl x - 600 = y x - y = 600 - - (i ) Ave collection for boys x / 10 = 100+y / 12 (multipled by 120) x / 10 * 120 = 100 * 120 + y / 12 * 120 12 x = 12000 + 10 y 12 x - 10 y = 12000 - - - ( ii) /x - y = 600 * 12 12 x - 10 y = 12000 * 1 12 x - 12 y = 7200 - - - - ( iii) 12 x - 10 y = 12000 = - 2 y = - 4800 y = 4800/ 2 = 2400 y = 4800/ 2 = 2400 subt 2400 for y in eq(i ) 600 + y = x 600 + 2400 = x x = 3000, boys collection = # 3000 girls collection = # 24000 total collected = # 54000 ======================== 5a ) Area of triangle= 1/ 2 bh where h =6 : . 1 /2 * 6 / 1* b /1 =36 6b / 2= 36 / 1 6b = 72 B =72 /6 Base of angle PSR =12 cm Since |TS | / /PQ QR= PR - PQ QR= 12 - 8 QR= 4 cm 5b ) Draw d triangle From angle ABC, to get | BC | Tan 60 / 1= 10 cm / |BC | |BC |= 10 . 65 /tan 60 |BC |= 10 . 65 /1 . 7321 =6 . 1486 =6 . 15 m Hence | BC | =| DE| From angle AED , to get | AE | Draw d diagram |AB |= 6. 15 tan 45 6. 15 * 1 =6 . 15 m
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Sunday, August 16, 2020

NABTEB May/June Examination Timetable 2020 FOR TECHNICAL AND SCIENCE SCHOOLS

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NABTEB May/June Examination Timetable


NABTEB May/June Examination Timetable: National Business and Technical Examinations Board (NABTEB) 2020 National Business Certificate (NBC) and National Technical Certificate (NTC) Examinations May/June is now out. Continue reading to see more details below.

NABTEB May/June Examination Timetable


Scroll the side to view all the contents in the table below:

DATESUBJECT/TRADEPAPER TITLETIME
Monday 21/09/2020ChemistryPaper I Objective & Essay9.00a.m-11:30am
Monday 21/09/2020Literature-in-EnglishPaper I Objective & Prose12.30pm-2.30p.m
Tuesday 22/09/2020PhysicsPaper I Objective & Essay9:00a.m-11:45a.m
Tuesday 22/09/2020Agricultural Equipment and Implement Mechanics Works (Introduction to Agric Science, Implement and Machines)Paper I Objective & Essay1:00p.m-4:10p.m
Tuesday 22/09/2020Financial AccountingObjective & Essay1:00p.m-4:30p.m
Tuesday 22/09/2020Plumbing & Pipe FittingPaper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020Textile Trades (Surface Design & Textile Printing)Paper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020Leather Trades (Footwear Manufacture)Paper I Objective & Essay1:00p.m-3:10p.m
Tuesday 22/09/2020Printing Craft PracticePaper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020Men’s Garment Making (Garment Construction and Finishing)Paper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020General Wood WorkPaper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020Refrigeration and Air-Conditioning WorksPaper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020Appliance Maintenance and Repairs (Domestic and Office Machines Maintenance)Paper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020Vehicle Body BuildingPaper I Objective & Essay1:00p.m-3:40p.m
Tuesday 22/09/2020Marine Engineering CraftPaper I Objective & Essay1:00p.m-3:40p.m
Wednesday 23/09/2020BiologyPaper I Objective & Essay9.00a.m-11.20a.m
Wednesday 23/09/2020Fabrication and WeldingPaper I Objective & Essay1.00p.m-4.10p.m
Wednesday 23/09/2020Blocklaying, Bricklaying and ConcretingPaper I Objective & Essay1.00p.m-3.40p.m
Wednesday 23/09/2020Leather Trades ( Leather Tanning)Paper I Objective & Essay1.00p.m-3.10p.m
Wednesday 23/09/2020Photographic PracticePaper I Objective & Essay1.00p.m-3.40p.m
Wednesday 23/09/2020Carpentry and JoineryPaper I Objective & Essay1.00p.m-3.40p.m
Wednesday 23/09/2020Painting & DecoratingPaper I Objective & Essay1.00p.m-3.40p.m
Wednesday 23/09/2020Agric. Equipment & Implements Mechanics Works (Tractor System)Paper I Objective & Essay1.00p.m-4:10p.m
Wednesday 23/09/2020Textile Trades (Weaving)Paper I Objective & Essay1.00p.m-3.40p.m
Wednesday 23/09/2020Draughtsmanship Craft Practice (Draughtsmanship)Paper I Objective & Essay1.00p.m-3.40p.m
Wednesday 23/09/2020CommerceObjective & Essay1:00p.m-4:20p.m
Wednesday 23/09/2020Building /Engineering DrawingPaper I Objective5.00p.m-5.40p.m
Thursday 24/09/2020Office PracticeObjective & Essay9:00a.m-12:20p.m
Thursday 24/09/2020SalesmanshipObjective & Essay9:00a.m-12:20p.m
Thursday 24/09/2020Basic ElectricityPaper I Objective & Essay12: 20pm-3.00p.m
Thursday 24/09/2020Computer Craft StudiesPaper I Objective & Essay3:00p.m-5.40pm
Thursday 24/09/2020Textile Trades (Spinning)Paper I Objective & Essay3:00p.m-5.40pm
Thursday 24/09/2020Electronics WorksPaper I Objective & Essay3:00p.m-5.40pm
Thursday 24/09/2020Machine Wood WorkingPaper I Objective & Essay3:00p.m-5.40pm
Thursday 24/09/2020General Metal WorkPaper I Objective & Essay3:00p.m-5.40pm
Friday 25/09/2020Agricultural SciencePaper I Objective & Essay9.00a.m-11.30a.m
Friday 25/09/2020Graphic Arts (Graphic Design)Paper I Objective & Essay3:00p.m-5:10p.m
Friday 25/09/2020Instrument Mechanics WorksPaper I Objective & Essay3:00p.m-5:40p.m
Friday 25/09/2020(Electrical/Medical Appliances and Projectors Maintenance)Paper I Objective & Essay3:00p.m-5:40p.m
Friday 25/09/2020Leather Trades (Leather Goods Manufacture)Paper I Objective & Essay3:00p.m-5:10p.m
Friday 25/09/2020TourismObjective & Essay3:00p.m-5:40p.m
Friday 25/09/2020Textile Trades (Bleaching, Dyeing & Finishing)Paper I Objective & Essay3:00p.m-5:40p.m
Friday 25/09/2020Animal HusbandryPaper I Objective & Essay3:00p.m-5:40p.m
Friday 25/09/2020FisheriesPaper I Objective & Essay3:00p.m-5:40p.m
Friday 25/09/2020Ceramic (Ceramic and Design)Paper I Objective & Essay3:00p.m-5:40p.m
Friday 25/09/2020Mechanical Engineering Craft PracticePaper I Objective & Essay3:00p.m-5:40p.m
Saturday 26/09/2020Animal SciencePaper I Objective & Essay9.00a.m-11.30a.m
Saturday 26/09/2020Electrical Installation and Maintenance WorksPaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Motor Vehicle Mechanics WorksPaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Catering Craft PracticePaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Automobile Electrical WorksPaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Furniture MakingPaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020CosmetologyPaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Light Vehicle Body Repair WorksPaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Foundry Craft PracticePaper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Ladies Garment Making (Garment Construction and Finishing)Paper I Objective & Essay1.00p.m-3.40p.m
Saturday 26/09/2020Introduction to Building ConstructionObjective & Essay( To be taken by Trade codes1.00p.m-3.40p.m
Saturday 26/09/2020Literature-in-EnglishPaper II Drama & Poetry3.40p.m-5.40p.m
Monday 28/09/2020MathematicsPaper I Objective Paper II Essay9:00a.m-10:30a.m,

10.30am-1:00p.m

Monday 28/09/2020Information & Communications Technology (ICT)Paper I Objective & Essay3:00p.m-5:40p.m
Tuesday 29/09/2020English LanguagePaper I Obj/Test of Orals Paper II Essay Writing Comprehension & Summary9.00a.m-10.40a.m

10.40am-1.10p.m

Tuesday 29/09/2020Civic EducationObjective & Essay3.00p.m-5.30p.m
Wednesday 30/09/2020Further MathematicsPaper I Objective Paper II Essay9:00a.m-10:45a.m,

10.45am-12:45p.m

Wednesday 30/09/2020GovernmentObjective & Essay1.00p.m-4.00p.m
Friday 02/10/2020EconomicsObjective & Essay9.00a.m-12.20pm
Friday 02/10/2020GeographyPaper I Objective & Essay3:00p.m-6:00p.m
Saturday 03/10/2020Ship Building Craft PracticePaper I Objective & Essay9.00a.m-11.40a.m
Saturday 03/10/2020Christain Religious StudiesObjective & Essay12noon- 2.30p.m
Saturday 03/10/2020Islamic StudiesObjective & Essay12noon- 2.30p.m
Monday 05/10/2020PhysicsPaper II Practical9.00a.m-11.45a.m
Monday 05/10/2020Basic ElectricityPaper II Practical1.00p.m-4.00p.m
Tuesday 06/10/2020ChemistryPaper II Practical9:00a.m-11:00a.m
Tuesday 06/10/2020Building/Engineering DrawingPaper II Practical12 noon-3:00p.m
Wednesday 07/10/2020BiologyPaper II Practical9:00a.m-11.00a.m
Wednesday 07/10/2020Foundry Craft PracticePaper II PracticalTo be arranged
Thursday 08/10/2020Marine Engineering CraftPaper II Practical9.00a.m-12noon
Thursday 08/10/2020Plumbing and Pipe FittingPaper II Practical9.00a.m-3.00pm
Thursday 08/10/2020Ceramics (Ceramics and Design)Paper II Practical9.00a.m-1.00pm
Thursday 08/10/2020Electronics WorksPaper II Practical9.00a.m-12noon
Thursday 08/10/2020CosmetologyPaper II Practical9.00a.m-3.00pm
Thursday 08/10/2020Catering Craft PracticePaper II Practical9.00a.m-4.00pm
Thursday 08/10/2020Leather Trades(Leather Tanning)Paper II Practical9.00a.m-3.00pm
Thursday 08/10/2020Machine Wood WorkingPaper II Practical9.00a.m-1.00pm
Thursday 08/10/2020Printing Craft PracticePaper II Practical9.00a.m-3.00pm
Thursday 08/10/2020Painting and DecoratingPaper II Practical9.00a.m-3.00pm
Thursday 08/10/2020Textile Trades (Weaving)Paper II Practical9.00a.m-3.00pm
Thursday 08/10/2020Instrument Mechanics WorksPaper II Practical9.00a.m-12noon
Thursday 08/10/2020Computer Craft StudiesPaper II Practical9.00a.m-12noon
Thursday 08/10/2020Appliance Maintenance and Repairs (Domestic and Office Machines Maintenance)Paper II Practical9.00a.m-12noon
Friday 09/10/2020Information & Communications Technology (ICT)Paper II Practical9.00a.m-12noon
Friday 09/10/2020Mechanical Engineering Craft PracticePaper II PracticalTo be arranged
Monday 12/10/2020Agricultural SciencePaper II Practical9.00a.m-11.00a.m
Monday 12/10/2020General Metal WorkPaper II Practical11:30a.m-5:30p.m
Monday 12/10/2020Textile Trades (Surface Design & Textile Printing)Paper II Practical11:30a.m-5:30p.m
Tuesday 13/10/2020Ladies Garment Making (Garment Construction and Finishing)Paper II Practical9:00a.m-3.00p.m
Tuesday 13/10/2020Draughtsmanship Craft Practice (Draughtsmanship)Paper II (Alt. to Practical)9:00a.m-12noon
Tuesday 13/10/2020Automobile Electrical WorksPaper II Practical9.00a.m-12noon
Tuesday 13/10/2020Motor Vehicle Mechanics WorksPaper II Practical9.00a.m-12noon
Tuesday 13/10/2020Electrical Installation and Maintenance WorksPaper II Practical9:00a.m-12noon
Tuesday 13/10/2020Refrigeration and Air-Conditioning WorksPaper II Practical9:00a.m-12noon
Tuesday 13/10/2020Carpentry and JoineryPaper II Practical9:00a.m-3:00p.m
Tuesday 13/10/2020Leather Trades (Footwear Manufacture)Paper II Practical9:00a.m-3:00p.m
Tuesday 13/10/2020Fabrication and WeldingPaper II PracticalTo be arranged
Tuesday 13/10/2020FisheriesPaper II Practical9.00a.m-12noon
Tuesday 13/10/2020Photographic PracticePaper II Practical9.00a.m-12noon
Tuesday 13/10/2020Bricklaying, Blocklaying and ConcretingPaper II Practical9.00a.m-3.30p.m
Tuesday 13/10/2020Men’s Garment Making (Garment Construction and Finishing)Paper II Practical9.00a.m-3.00p.m
Tuesday 13/10/2020Furniture MakingPaper II Practical9.00a.m-3.30pm
Tuesday 13/10/2020Textile Trades (Spinning)Paper II Practical9.00a.m-3.00pm
Tuesday 13/10/2020Appliance Maintenance and Repairs (Electrical/Medical Appliances and projector Maintenance)Paper II Practical9.00a.m-12noon
Tuesday 13/10/2020Graphic Arts (Graphic Design)Paper II Practical9.00a.m-4.00p.m
Wednesday 14/10/2020GeographyPaper II (Pract. & Phy. Geo.)9.00a.m-11.00a.m
Wednesday 14/10/2020Agricultural Equipment and Implement Mechanics Works (Tractor System)Paper II Practical12:00noon-3.00pm
Wednesday 14/10/2020Shorthand (80 W. P. M.)Passages12:00noon-1.40pm
Wednesday 14/10/2020Ship Building Craft practicePaper II Practical12:00noon-3.00pm
Thursday 15/10/2020Animal SciencePaper II Practical9.00a.m-11.00a.m
Thursday 15/10/2020Typewriting (35W.P.M)Practical12:00noon-2.40pm
Thursday 15/10/2020Vehicle Body BuildingPaper II Practical12:00noon-4.00pm
Thursday 15/10/2020Light Vehicle Body Repair WorksPaper II Practical12:00noon-4.00pm
Thursday 15/10/2020Agricultural Equipment and Mechanics Works (Intro. to Agric Science, Implements and Machines)Paper II Practical12:00noon-3.00pm
Thursday 15/10/2020General Wood WorkPaper II Practical12:00noon-4.00pm
Thursday 15/10/2020Textile Trades (Bleaching, Dyeing and Finishing)Paper II Practical12:00noon-6.00pm
Thursday 15/10/2020Animal HusbandryPaper II Practical12:00noon-2.30pm
Thursday 15/10/2020Leather Trades (Leather Goods Manufacture)Paper II Practical12:00noon-6.00pm


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