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WAEC Further Mathematics Questions and Answers 2022, 100% Free Theory & Obj Expo

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WAEC Further Mathematics Questions and Answers 2022  is now release for the May/June 2022.  WAEC Further Mathematics Theory and Objective Answers (100%legit) Further Mathematics 2 Essay verified Free  (Expo) for West African Examinations Council. WAEC Further Mathematics Questions For you to have good WAEC result in  Further Mathematics as well as repeated questions for free in this post. You will also understand how WAEC Further Mathematics questions are set and how to answer them. The West African Examinations Council is an examination board established by law to determine the examinations required in the public interest in the English-speaking West African countries, to conduct the examinations and to award certificates comparable to those of equivalent examining authorities internationally.

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WAEC Further Mathematics Questions and Answers 2022

WAEC 2022 Further Mathematics Questions  will be  posted in this page. Our Team are right now with the question paper. It is under verification and once tthe verification process complete, we will go ahead to upload it here.

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WAEC Further Mathematics OBJ Answers:

Further Mathematics -OBJ

1-10 AADDBACBCC
11-20 BACCDCCADC
21-30 BABACDDBCC
31-40 CCCCBDABBC
41-50 CBBDABBDCB

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WAEC Further Mathematics Answers

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WAEC Further Mathematics

WAEC Further Mathematics Questions and Answers

1. Evaluate log927

Solution; let’s assume x = log927

Then 9x = 27

Therefore, (32)x = 33

32x = 33

Divide it through by the coefficient of 2x

i.e. 32x /3 = 33/3

= 2x = 3 (equating indices) and x =1½

2. Solve log50.04

Solution: Let r be = log50.04, then 5r = 0.04 = 1/25 = 5-2 (equating indices)

Hence r = -2 Ans.

3. Solve 2×2 + 9x =5.

Solving solution: 2×2 + 9x =5

2×2 + 9x -5 =0

(2x – 1) (x + 5) = 0

Either 2x – 1 = 0 or x + 5 = 0

Therefore 2x = 1 or x = -5 so, x = ½ or x = -5 Ans.

4. Solve 3×2 –xy = 0 and 2y – 5x = 1 simultaneously

Solution solving

3×2 – xy = 0 ———————- equation 1

2y – 5x = 1 ———————-equation 2

From equation 2, we have 2y = 1 + 5x

Y = ½ (1 + 5x) ——————-equation 3

Substitute ½(1 + 5x) for y in equation 1

3×2 – x [½(1 + 5x)] = 0

3×2 – ½x – 2½x2 = 0

½x2 – ½x = 0

½x (x – 1) = 0

Therefore, x =0 or x =1

Substituting for x in equation 3

When x =0, y = ½(1 + 5 X 0) = ½

And, when x =1, y = ½(1 + 5 X 0) =3

Therefore, the solutions are x =0 and y =½

x =1 and y =3

Or, in ordered pairs (0, ½) and (1, 3) Ans.

5. An item is marked ‘cost N7000 VAT inclusive’. If the rate of VAT is 5%, how much VAT does the Government receive?

Solution: The price tag means that a 5% VAT surcharge is included in the total price. Thus N7000 represents 105% of the actual cost of the item.

105% of the cost price =N7000

1% of the cost of the item = N7000/105

5% of the cost (i.e. the VAT) =N7000/105 X 5

=N333 1/3 Ans.

6. Use the chain rule to differentiate (3x + 8)6

Solution: Let y = (3x + 8)6 and t = 3x + 8 then,

y = t6, dt/dx =3 and dy/dt =6t5

By the chain rule, we have; dy/dx = dy/dt X dt/dx

= 6t5 X 3

= 6 (3x + 8)5 X 3

= 18 (3x + 8)5 Ans.

7. Find the equation of the tangent to the curve y = x2 – 4x + 3 at the point (3, 1).

Solution: y = x2 – 4x + 3

= dy/dx = 2x – 4, the gradient function.

If x = 3, the gradient of the curve at this point is 2 X 3 – 4 =2

Hence, the gradient of the tangent at x=3 is 2, i.e. the same as the gradient of the curve. The equation of the tangent is, y-1/x-3 = 2

→ y – 1 = 2(x-3)
→ y = 2x – 5 Ans.

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WAEC Further Mathematics questions 2022, WAEC 2022 Further Mathematics questions and answers, Government WAEC 2022, WAEC questions 2022/2023, Further Mathematics 2022,

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(13ai)

Given: mass ,m =10kg

Force,F = 40N

Time, t = 0.5secs

Impulse, I = Ft = 40×0.5 = 20Ns

(13aii) Ft = m(v-u) where u= 0 (at rest)

20 = 10(v-0)

20 = 10v

V = 20/10 = 2m/s

Final speed = 2m/s

(13aiii)

Given: u=0 ; v=2m/s ; t=0.5secs

S= 1/2(u+v)t

S= 1/2(0+2)×0.5

S= 0.5 metres

Distance = 1/2 metre or 50cm

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