(1a)
Given A={2,4,6,8,...}
B={3,6,9,12,...}
C={1,2,3,6}
U= {1,2,3,4,5,6,7,8,9,10}
A' = {1,3,5,7,9}
B' = {1,2,4,5,7,8,10}
C' = {4,5,7,8,9,10}
A'nB'nC' = {5, 7}
(1b)
Cost of each premiere ticket = $18.50
At bulk purchase, cost of each = $80.00/50 = $16.00
Amount saved = $18.50 - $16.00
=$2.50
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(2ai)
P = (rk/Q - ms)?
P^3/2 = rk/Q - ms
rk/Q = P^3/2 + ms
Q= rk/P^3/2 + ms
(2aii)
When P =3, m=15, s=0.2, k=4 and r=10
Q = rk/p^3/2 + ms = 10(4)/(3)^3/2 + (15)(0.2)
= 40/8.196 = 4.88(1dp)
(2b)
x + 2y/5 = x - 2y
Divide both sides by y
X/y + 2/5 = x/y - 2
Cross multiply
5(x/y) - 10 = x/y + 2
5(x/y) - x/y = 2 + 10
4x/y = 12
X/y = 3
X : y = 3 : 1
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(3a)
Draw the diagram
CBD = CDB(Base angles of an issoceles triangle)
BCD + CBD + CDB = 180°(sum of angles in a triangle)
2CDB + BCD = 180°
2CDB + 108° = 180°
2CDB = 180° - 108° =72°
CDB = 72/2 = 36°
BDE = 90°(angle in a semi-circle)
CDE = CDB + BDE
= 36° + 90°
= 126°
(3b)
(CosX)² - SinX/(SinX)²+ CosX
Using Pythagoras theorem, third side of triangle
y² = 1² + |3²
y² = 1 + 3 = 4
y = square root e = 2
Cos X = 1/2(adj/hyp)
Sin X = root 3/2(opp/hyp)
(CosX)² - SinX/(SinX)² + CosX
= (1/2)² - root3/2 / (root3/2)² + 1/2
= 1/4 - root3/2 / 3/4 + 1/2
= 1 - 2root3/4 / 3+2/4
= 1-2root3/5
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(4a)
Given: r : l = 2 : 5 (ie l = 5/2r)
Total surface area of cone =πr² + url
224π = π(r² + r(5/2r))
224 = r² + 5/2r²
224 = 7/2r²
7r² = 448
r² = 448/7 = 64
r = root 64 = 8.0cm
(4b)
L = 5/2r = 5/2 × 8 = 20cm
Using Pythagoras theorem
L² = r² + h²
h² = l² - r²
h² = 20² - 8²
h² = (20 + 8)(20 - 8)
h² = 28 × 12
h = root28×12
h = 18.33cm
Volume of cone = 1/3πr²h
= 1/3 × 22 × 7 × 8² × 18.33
=1229cm³
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(5)
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(7)
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(8a)
Let Ms Maureen's Income = Nx
1/4x = shopping mall
1/3x = at an open market
Hence shopping mall and open market = 1/4x + 1/3x
= 3x + 4x/12 = 7/12x
Hence the remaining amount
= X-7/12x = 12x-7x/12 =5x/12
Then 2/5(5x/12) = mechanic workshop
= 2x/12 = x/6
Amount left = N225,000
Total expenses
= 7/12x + X/6 + 225000
= Nx
7x+2x+2,700,000/12 =Nx
9x + 2,700,000 = 12x
2,700,000 = 12x - 9x
2,700,000/3 = 3x/3
X = N900,000
(ii) Amount spent on open market = 1/3X
= 1/3 × 900,000
= N300,000
(8b)
T3 = a + 2d = 4m - 2n
T9 = a + 8d = 2m - 8n
-6d = 4m - 2m - 2n + 8n
-6d = 2m + 6n
-6d/-6 = 2m+6n/-6
d = -m/3 - n
d = -1/3m - n
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(9a)
Draw the triangle
(9b)
(i)Using cosine formulae
q² = x² + y² - 2xycosQ
q² = 9² + 5² - 2×9×5cos90°
q² = 81 + 25 - 90 × 0
q² = 106
q = square root 106
q = 10.30 = 10km/h
Distance = 10 × 2 = 20km
(ii)
Using sine formula
y/sin Y = q/sin Q
5/sin Y = 10.30/sin 90°
Sin Y = 5 × sin90°/10.30
Sin Y = 5 × 1/10.30
Sin Y = 0.4854
Y = sin?¹(0.4854), Y = 29.04
Bearing of cyclist X from y
= 90° + 19.96°
= 109.96° = 110°
(9c)
Speed = 20/4, average speed = 5km/h
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According to the timetable, the West African Senior School Certificate Examination (WASSCE) for school candidates, 2020, will commence on 6th April, 2020 and will end on 5th June, 2020.
Please have it in mind that the junior WAEC registration for 2020/2021 actually started around Monday, October 8, 2019 , and will close on Friday, December 2019 .
Nigerian students wishing to study abroad with WAEC, NECO or GCE can apply for admission at Brandon University. As a Nigerian or Internationa student seeking admission to study abroad at Brandon University with WAEC can use the link below to apply.
WAEC result is not valid for 10 years ? waec registrar. ... the registrar clearly stated that Waec result is valid for life. Waec result does not expire in as much as the owner is still alive, the result can be used .
The WAEC examination is open to both private and school candidates. ... Most universities in Germany accepts WAEC results from West African students. So, you need to meet their minimum requirements before you're offered admission into a German university.
2020 WAEC GCE Closing Date Update: West African Examination Council (WAEC) Senior School Certificate Examination (WASSCE) for Private Candidates (GCE) First (1st) Series [January/February] Registration Form Closing Date / Deadline for 2020/2020 Session [Extension Notice]. 2. UPLOAD OF PINs - Sunday, January 12, 2020.
The answer is yes. NECO can be used to study abroad but not all schools abroad accept it. ... First of all, an applicant with a NECO result must sit for a proficiency English language exam such as GRE, IELTS, SAT, ACT, PSAT, TOEFL, GMAT, and the likes.
Nearly all Universities in the UK require GCE A level or equivalent for admission into undergraduate degrees. In addition to A levels, you should also have GCSEs which I believe are O level equivalents (also WAEC in West Africa).
It means that you have scored 39% or less on your exam. It is a failure grade. E8 (40-44%) and D7 (45-49%) are passing grades. C6 (50-54%), C5 (55-59%) and C4 (60-64%) are credit grades. B3 (65-69%) is a Good grade.