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• # Common Questions Ask in Post UTME Mathematics Exams. Day1

Mathematics

Chima Sunday (Tutor)
20-06-2016 15:22:00 +0000

Try your best to solve these questions. Show working on paper when necessary and include a picture of your hand written Solution in your response. Wish you the best!

1. Find the minimum point for this curve, y = 3x3 - 9x2
A. 2
B. 0
C. 1
D. 18
(uni-uyo)

Updated SAolution
If d2y/dx2 < 0; its a maximum point
If d2y/dx2 > 0; its a minimum pint
If d2y/dx2 = 0; its a stationery point.
Thus dy/dx = 9x2 - 18x
d2y/dx2 = 18x - 18 = 18(x - 1)
at x = 0, d2y/dx2 = 18(0 - 1) = -18, thus maximum point
at x = 2, d2y/dx2 = 18(2 - 1) = 18, thus minimum point
So the minimum point is at x = 2

2. QRS is a triangle with QS = 12m, RQS = 30o and QRS = 45o. Calculate the length of RS
A. 18.2m
B. 12.2m
C. 6.2m
D. 3.2m
(unilag)

Updated Solution
f one should sketch the triangle, it will be seen that angle 30 is opposite to RS and 45 is opposite to 12m. By applying sine formular
sin30/RS = sin45/12
by subject formular
RS = 12sin30/sin45 = 12 × 0.5/0.707 = 8.4m
The answer is not in the Option

3. Express 2cos(60 + θ) in terms of cosθ and sinθ
A. cosθ + √3sinθ
B. √3cosθ - sinθ
C. cosθ - √3sinθ
D. √3cosθ + sinθ
(uniben)

Updated Solution
2cos(60 + θ) = 2[cos60cosθ - sin60sinθ] (i.e difference of double angle expansion for cosine)
cos60 = 1/2; siin60 = √/2
so 2cos(60 + θ) = 2[1/2cosθ - √3/2sinθ]
factoring 2; 2/[cosθ - √3sinθ] = cosθ - √3sinθ

• Emmanuel Anosike

1 option D

1 20-06-2016 18:37:00 +0000

• LAWAL OLUWAFEMI

2 option d

1 20-06-2016 19:51:00 +0000

• Emmanuel Anosike

how did you solve that

1 20-06-2016 20:08:00 +0000

• LAWAL OLUWAFEMI

send me ur number

1 20-06-2016 20:24:00 +0000

• Emmanuel Anosike

on WhatsApp or something

1 20-06-2016 20:42:00 +0000

• LAWAL OLUWAFEMI

yes

1 20-06-2016 20:51:00 +0000

• Emmanuel Anosike

1 option D

1 21-06-2016 16:19:00 +0000

• Chima Sunday (Tutor)

Please, just a reminder. This post has been updated with its detailed solution. So try and check it up. Wouldn't forget to commend on the efforts of some exceptional jambites that attempted to solve the question. Your labour of work is not i vain, keep it up and keep the fire burning. I frown to some of us that demand for number when asked to post their hand written solutions to substantiate their answer. Please is not the ethics of the forum, like i said "Show working on paper when necessary and include a picture of your hand written Solution in your response" Once again thanks for attempting. Cheers!

1 22-06-2016 11:35:00 +0000