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University Of Lagos UNILAG 2015/2016 Masters Degree Forms 08060777331 / Unilag 2015/2016 Pg/master Degree.prospective Applicants / Unilag 2015/2016 Jambites (2) (3) (4)
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Re: Unilag 2015/2016 Admission by Nobody: 5:58pm On Apr 16, 2015 |
Amina,do not touch those books it belongs to our _____ children. (a) sisters's-in-laws (b) sisters-in-laws' (c) sisters's-in-law (d) sisters-in-law's |
Re: Unilag 2015/2016 Admission by ade95: 11:43pm On Apr 16, 2015 |
Pls add me 07036760030 to the whatsapp group |
Re: Unilag 2015/2016 Admission by oluwamile(m): 11:44pm On Apr 16, 2015 |
sumbody400:I was asked d same question last yr |
Re: Unilag 2015/2016 Admission by Umartins1(m): 12:01am On Apr 17, 2015 |
MATHEMATICS 1. If angle X is 135, evaluate cos X a. 1/2. B. root2/ 2. C. -root2\ 2. D. -1/2. 2. The distance between the point (4,3) and the intersection of y=2x+4 and y=7-x is A. Root 13. B. 3 root 2. C. Root 26. D. 10 root 5 3. A circular arc subtends angle 150 at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc. A. 30pi b. 60pi c. 120pi d. 150pi 4. Find the gradient of the line joining P(5, -7) Q (-2, -3) A. 1/2 b. 2/5 c. -4/7 d. -2/3 5. Find dy/dx if y=x^2-1/x A. 2x-1/x^2. B. 2x+x^2. C. 2x-x^2. D. 2x+1/x^2 6. The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number. A. 126. B. 180. C. 216. D. 224 7. The angles of polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x. A. 24. B. 30. C. 33. D. 36 8. Given that I is a unit matrix of order 3, find the determinant of I. A. -1. B. 0. C. 1. D. 2 9. Three girls share a number of apples in the ratio 5:3:2. If the highest share is 40 apples, find the smallest share. A. 16. B. 38. C. 36. D. 24 10. Simplify: [3^(-5n) / 9^(1-n) ] * 27^(n+1) A. 3^5. B. 3. C. 3^2. D. 3^3 11. If x-4 is a factor of x^2-x-k, then k is A. 20. B. 2. C. 4. D. 12. 12. The remainder when 6p^3-p^2-47p+30 is divided by p-3 is A. 63. B. 18. C. 21. D. 42 13. P varies jointly as m and u, and inversely as q. Given that p=4, m=3 and u=2 when q=1, find the value of p when m=6, u=4 and q=8/5. A. 10. B. 288/5. C. 128/5. D. 15 14. if the sum of the first two terms of a G.P is 3 and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio. a. -5. B. 5. C. -2. D. -3 15. The binary operation ¤ is defined by x¤y=x +2y, find 2¤(3¤4). A. 14. B. 26. C. 24. D. 16 16. A chord of a circle subtends an angle 120 degrees at the centre of circle of diameter 4root3cm. Calculate the area of the major sector. A. 32pi. B. 4pi. C. 8pi. D. 16pi 17. If the mid point of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q. A. (8,6) b. (5,6). C. (0,4). D. (6,5) 18. Integrate (1+x)/x^3. dx. A. 2x^2-1/x. B. -1/2x^2 - 1/x. C. -x^2/2-1/x. D. X^2-1/x 19. Evaluate the integral of sinx with pi/2 as the upper value and 0 as the lower value. a. -2. B. 2. C. 1. D. -1 20. The radius of a circle is increasing at the rate of 0.02 cm/s. Find the rate at which the area is increasing when the radius of the circle is 7cm. A. 0.35 cm^2/s. B. 0.88. C. 0.75. D. 0.55 |
Re: Unilag 2015/2016 Admission by Umartins1(m): 12:37am On Apr 17, 2015 |
MATHEMATICS 21. If Log 18 + Log 3 - Log x = 3, find x [ everything is in base 3] A. 1. B. 2. C. 0. D. 3 22. Factorise completely 9y^2 - 16x^2. A. (3y-2x) (3y+48). B. (3y+4x) (3y+4x). C. (3y+2x) (3y-4x). D. (3y+4x) (3y-4x) 23. Evaluate 4 2 -1 2 3 -1 -1 1 3 A. 25. B. 45. C. 15. D. 55 24. Find the derivative of sinX/cosX A. Sec^2x. B. Tanxcosecx. C. Cosecxsecx. D. Cosec^2x 25. Integrate cos4x A. 3/4 sin4x+k. B. -1/4sin4x+k. C. -3/4sin4x+k. D. 1/4sin4x+k 26. If three unbiased coins are tossed, find the probability that they are all heads. A. 1/8. B. 1/3. C. 1/6. 1/9 27. In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women? A. 50. B. 200. C. 100. D. 30 28. Integrate (sinx+2)dx A. Cosx+x^2. B. Cosx+2x. C. -cosx+2x. D. -cosx+x^2 29. At what value of x does the function y=-3-2x+x^2 attain a minimum value? A. 1. B. -4. C. -1. D. 4 30. Evaluate the integral of x^3 + x^2 with 2 as the upper value and 0 as the lower value. A. 2 5/6. C. 6 2/3. D. 4 5/6. D. 1 5/6 31. What is the locus of points that is equidistant from points P(1,3) and Q (3,5)? A. Y= -x + 6. B. Y= x + 6. C. Y= -x - 6. D. Y= x - 6 32. Find the equation of a line parallel to y= -4x+2 passing through (2,3) A. Y-4x+11=0. B. Y-4x-11=0. C. Y+4x+11=0. D. Y+4x-11=0 33. The probability of a student passing any examination is 2/3. If the student takes three examinations, what is the probability that he will not pass any of them? A. 2/3. B. 4/9. C. 8/27. D. 1/27 34. Integrate sec^2x A. Secxtanx. B. Tanx. C. 2secx. Secx 35. Given that log 2 = 0.3010 and log 7 = 0.8451, evaluate log 280 A. 3.4471. B. 2.4471. C. 1.4471. D. 1.4071 36. What is the value of r if the distance between the points (4,2) and (1,r) is 3 units? A. 1. B. 2. C. 3. D. 4 37. Differentiate 3cos4x A. 6sin8x. B. -24sin4x. C. 12sin4x. D. -12sin4x 38. If 55 base x + 52 base x = 77, find x A. 5. B. 6. C. 7. D. 10 39. Subtract 16418 base 9 from 18630 base 9. A. 1121. B. 2112. C. 2113. D. 2211. ==>base 9. 40. The cost of kerosene per litre increases from #60 to #85. What is the percentage increase? A. 42%. B. 41%. C. 40%. D. 25% |
Re: Unilag 2015/2016 Admission by Ron9ja: 7:33am On Apr 17, 2015 |
oluwamile:what Is The Answer @sumbody400 |
Re: Unilag 2015/2016 Admission by Nobody: 7:39am On Apr 17, 2015 |
sumbody400: C or B |
Re: Unilag 2015/2016 Admission by Nobody: 8:06am On Apr 17, 2015 |
FrancisTony:confusion ... Wrong |
Re: Unilag 2015/2016 Admission by Nobody: 8:07am On Apr 17, 2015 |
Ron9ja:Option C |
Re: Unilag 2015/2016 Admission by Mrpulse911(m): 8:43am On Apr 17, 2015 |
labodinho:OMG I thought it was Unilag datz gonn' release d COC to aspirants after putme. I scored 237 in jamb going 4 Biz Ad. but i have it in mind to change to IRPM cos Biz Ad is more competitive. Pls anybody, is d COC still available, or can I make Biz Ad with my score? |
Re: Unilag 2015/2016 Admission by Nobody: 10:12am On Apr 17, 2015 |
sumbody400:Answer? |
Re: Unilag 2015/2016 Admission by labodinho: 10:21am On Apr 17, 2015 |
Mrpulse911:Jamb COC closes today,17th.Get it in d next second if you really wanna make the change. |
Re: Unilag 2015/2016 Admission by Nobody: 10:22am On Apr 17, 2015 |
Umartins1: (1)? (2)B (3)B (4)C (5)D (6) D (7)D ( ![]() 1 Like |
Re: Unilag 2015/2016 Admission by Nobody: 10:23am On Apr 17, 2015 |
FrancisTony:(D) 1 Like |
Re: Unilag 2015/2016 Admission by clementnoble22(m): 1:03pm On Apr 17, 2015 |
sumbody400:WORKINGS |
Re: Unilag 2015/2016 Admission by Umartins1(m): 3:48pm On Apr 17, 2015 |
MATHEMATICS 1. If angle X is 135, evaluate cos X a. 1/2. B. root2/ 2. C. -root2\ 2. D. -1/2. ______________________________________________ in the second quadrant, cos is negative. Therefore, we have -cos (180-135) = -cos45 In trig, -cos 45 is -1/root2. If you take conjugate of the surd by multiplying both the numerator and denominator by root 2, you will get -root/2. OPTION C. 2. The distance between the point (4,3) and the intersection of y=2x+4 and y=7-x is A. Root 13. B. 3 root 2. C. Root 26. D. 10 root 5 __________________________________________________ we have to get the intersection first by equating the two lines, 2x+4=7-x 2x+x=7-4 3x=3 X=1 Sub for x in y=2x+4 Y= 2(1) + 4 Y=6 The coordinate thus becomes (1,6) The distance is square root of (y2-y1)square + (x2-x1)square Substitute your values, you will arrive at square root of 18 Which is 3root2. OPTION B. 3. A circular arc subtends angle 150 at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc. A. 30pi b. 60pi c. 120pi d. 150pi __________________________________________________ area of sector is titre/360 times pi R^2 Introduce the values and solve carefully, you will arrive at 60picm^2. OPTION B 4. Find the gradient of the line joining P(5, -7) Q (-2, -3) A. 1/2 b. 2/5 c. -4/7 d. -2/3 _________________________________________________ the formular is (y2-y1) / (x2-x1) I.e. -3-(-7) / -2-5 = -3+7 / -7 = -4/7. OPTION C. 5. Find dy/dx if y=x^2-1/x A. 2x-1/x^2. B. 2x+x^2. C. 2x-x^2. D. 2x+1/x^2 ________________________________________________ x^2 - 1/x = x^2 - x^-1 = 2x+ x^-2 = 2x+ 1/ x^2. OPTION D 6. The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number. A. 126. B. 180. C. 216. D. 224 ________________________________________________ x/7 =96 X= 96*7 X= 672 (672+y) / 8 = 112 672 + y = 112 * 8 672 + y = 896 Y= 896 - 672 Y = 224. OPTION D 7. The angles of polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x. A. 24. B. 30. C. 33. D. 36 ________________________________________________ the general formular is 180 (n-2) Here, the polygon has 5 sides if you count, so, n=5 180 (5-2) 180*3 = 540 X+2x+3x+4x+5x= 540 15x= 540 X= 540/15 X= 36. OPTION D 8. Given that I is a unit matrix of order 3, find the determinant of I. A. -1. B. 0. C. 1. D. 2 _____________________________________________________ if you can sketch it out correctly, you'll get 1 Cc: clementnoble22 4 Likes |
Re: Unilag 2015/2016 Admission by Nobody: 6:55pm On Apr 17, 2015 |
Umartins1, I need more workings. I have learnt many things. Been long I solved Mathematics. Thanks ![]() 1 Like |
Re: Unilag 2015/2016 Admission by Umartins1(m): 7:19pm On Apr 17, 2015 |
FrancisTony: Yes, bro. I will. I'm just kinda strong tho it's improving. I'll solve everything and many more. 1 Like 1 Share |
Re: Unilag 2015/2016 Admission by Umartins1(m): 8:36pm On Apr 17, 2015 |
8. Given that I is a unit matrix of order 3, find the determinant of I. A. -1. B. 0. C. 1. D. 2 _______________________________________________ 0 0 1 0 1 0 1 0 0 1(1-0) 1(1) =1. Option C _____________________________________________ 9. Three girls share a number of apples in the ratio 5:3:2. If the highest share is 40 apples, find the smallest share. A. 16. B. 38. C. 36. D. 24 _________________________________________________ let the total number of apples = x Sharing ratio= 5 + 3 + 2 = 10 X/10 * 5 = 40 5x/10 = 40 5x = 400 X= 80 Smallest share = 80/10 * 2 = 8 * 2 = 16. OPTION A ______________________________________________ 10. Simplify: [3^(-5n) / 9^(1-n) ] * 27^(n+1) A. 3^5. B. 3. C. 3^2. D. 3^3 _______________________________________________ 3^ (-5n) / 3^2 (1-n) * 3^3 (n+1) 3^-5n / 3^2-2n * 3^3n+3 3^ (-5n-(2-2n)) * 3^3n+3 3^(-5n-2+2n) * 3^3n+3 3^-3n-2 * 3^3n+3 3^-3n-2+3n+3 3^-3n+3n-2+3 3^1 =3. OPTION B ______________________________________________ 11. If x-4 is a factor of x^2-x-k, then k is A. 20. B. 2. C. 4. D. 12. ____________________________________________ X-4=0 X=4 Sub. 4 for x in x^2-x-k=0 4^2 - 4 - k =0 16-4-k = 0 12-k=0 -k=-12 K=12. Option D ______________________________________________ 12. The remainder when 6p^3-p^2-47p+30 is divided by p-3 is A. 63. B. 18. C. 21. D. 42 _____________________________________________ I attach the solution to this via pix _____________________________________________ 13. P varies jointly as m and u, and inversely as q. Given that p=4, m=3 and u=2 when q=1, find the value of p when m=6, u=4 and q=8/5. A. 10. B. 288/5. C. 128/5. D. 15 ___________________________________________ P & mu * 1/q P=kmu/q Kmu=pq K= pq/mu K= 4 * 1 / 3 * 2 K= 4/6 K= 2/3 P= 2/3 * 6 * 4 / 8/5 P= 2 * 2 * 4 / 8/5 P= 16/ 8/5 P= 16 * 5/8 P= 2 * 5 P= 10 option A ____________________________________________ Cc: francisTony 3 Likes |
Re: Unilag 2015/2016 Admission by Umartins1(m): 8:52pm On Apr 17, 2015 |
No 12
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Re: Unilag 2015/2016 Admission by Umartins1(m): 8:56pm On Apr 17, 2015 |
Before I continue, let someone else post likely questions on Maths too. |
Re: Unilag 2015/2016 Admission by Nobody: 9:09pm On Apr 17, 2015 |
More grease to your elbow bro@umartins1 pls consider the fastest way to arrive at the answer cos of the limited time of the exam. E.g question 12,p-3=0,p=3. 3 can be substituted into the equation to arrive fast at the answer. 1 Like |
Re: Unilag 2015/2016 Admission by Nobody: 9:16pm On Apr 17, 2015 |
What will be added to 4x-16x2 to make it a perfect square ?? (a)4 (b)-1/8 (c)1/8 (d)1/9 |
Re: Unilag 2015/2016 Admission by Umartins1(m): 9:27pm On Apr 17, 2015 |
sumbody400: Sure, I'm aware of that bro. But it doesn't work all the time since we are dealing with 'remainder'. In cases where the degree of p exceeds 1, it MAY not work. So, to overcome story that touches the heart, I prefer that 'long' way. |
Re: Unilag 2015/2016 Admission by Nobody: 9:32pm On Apr 17, 2015 |
Umartins1:It worked in question 12 ... lols ... Stories touches the heart. |
Re: Unilag 2015/2016 Admission by Umartins1(m): 9:35pm On Apr 17, 2015 |
sumbody400: Hhahahhaaha. Yeah. It does. I know. Roll some questions, bro. |
Re: Unilag 2015/2016 Admission by tundeks: 10:32pm On Apr 17, 2015 |
FrancisTony:u, re very funny, is dt how u,ll be guessing in exam hall. the definition I can give post ume exam is dt u must know all the question. |
Re: Unilag 2015/2016 Admission by Umartins1(m): 10:41pm On Apr 17, 2015 |
sumbody400: (4*1/2)2 = 2 2 = 4 |
Re: Unilag 2015/2016 Admission by tundeks: 11:25pm On Apr 17, 2015 |
Completing a Square With some quadratics, it's possible to look at them and - at a glance, recognize that they are almost perfect squares. For example, consider the following: x 2 + 6x + 8 If you've been working with quadratics for very long (or if you've done the previous reading in this unit), you know that x 2 + 6x + 9 is a perfect square - it's the square of (x + 3). So what would we have to do to x 2 + 6x + 8 to turn it into a perfect square? That's easy! We'd just need to add 1 to it! So let's see if we can formulate a method for completing squares. We know that (x + k) 2 = x 2 + 2kx + k 2, which should give us an idea... If we take half of the coefficient of x and square it, we get the constant we would need in order to have a perfect square. Example #1 What would we have to add to x 2 + 10x + 21 to make it a perfect square? Solution #1 Take half of 10 (the coefficient of x ), which is 5. Now square the 5 and you get 25. In order to be a perfect square, the constant term must be 25. Since it's actually 21, we need to Add 4 to complete the square. Example #2 What would we have to add to x 2 - 4x + 5 to make it a perfect square? Solution #2 Take half of -4, and you get -2. Square that and you get 4. Thus, the constant term must be 4. Since it's actually 5, we need to subtract 1 to complete the square. But what if the coefficient of x 2 is something other than 1? Well, that changes it a bit. If the coefficient of x 2 is a perfect square, we can still complete the square easily. The rule is the same as before, except that now, after dividing the coefficient of x by 2, we also divide it by the square root of the coefficient of x 2. Then we square the result. Example #3 What would we have to add to 9x 2 + 6x + 3 to make it a perfect square? Solution #3 The coefficient of x 2 is 9, and its square root is 3. Divided the coefficient of x by 2 (that gives you 3), and then divide it by 3, which gives you 1. Square the 1, and you get 1. The constant term has to be 1, but it's actually 3, so we must subtract 2 to complete the square. Example #4 What would we have to add to 4x 2 + 20x + 21 to make it a perfect square? Solution #4 The square root of 4 is 2. Divide 20 by 2, and then divide that by 2, and you get 5. Square the 5, and we find that our constant term must be 25. Since it's actually 21, we need to add 4 to complete the square. |
Re: Unilag 2015/2016 Admission by tundeks: 11:29pm On Apr 17, 2015 |
Umartins1:U, re a genius, weldone bro, keep up the good work. Wishing u more power to ur elbow. I was confused on how u arrived at the answer, I later read more on it. |
Re: Unilag 2015/2016 Admission by Umartins1(m): 11:36pm On Apr 17, 2015 |
tundeks: Bro, see whyne........ |
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University Of Ibadan 2013/2014 Admission / University Of Ibadan 2014/15 Admission Process.... / 2015/2016 OAU Aspirant Thread.
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