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

Pls add me 07036760030 to the whatsapp group

sumbody400:
Which of these states can gold be found in nigeria

(a)abia,anambra,ebonyi,kaduna,kebbi,kwara,niger

(b)kwara,ondo,ebonyi,anambra,kaduna,kebbi,niger

(c)abia,ebonyi,kaduna,kebbi,kwara,niger,oyo.

(d)taraba,abia,ebonyi,yobe,niger,sokoto,nasarawa


i was asked this ? Last year.

I was asked d same question last yr

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

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%

oluwamile:
I was asked d same question last yr

what Is The Answer @sumbody400

sumbody400:
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

C or B

FrancisTony:


C or B

confusion ... Wrong

Ron9ja:
what Is The Answer @sumbody400

Option C

labodinho:
No,you can't.

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?

sumbody400:
confusion ... Wrong

Answer?

Mrpulse911:

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?

Jamb COC closes today,17th.Get it in d next second if you really wanna make the change.

Umartins1:
MATHEMATICS

1. If angle X is 135, evaluate cos X
a. 1/2. B. root2/ 2. C. root-2\ 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

(1)? (2)B (3)B (4)C (5)D (6) D (7)D (C (9)A (10)B (11)D (12)D (13)A (14)A (15)C (16)B (17)D (18)no answer (19)C (20)?

FrancisTony:

Answer?

(D)

sumbody400:


(1)? (2)B (3)B (4)C (5)D (6) D (7)D (C (9)A (10)B (11)D (12)D (13)A (14)A (15)C (16)B (17)D (18)no answer (19)1 (20)?

WORKINGS

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

Umartins1, I need more workings.
I have learnt many things.

Been long I solved Mathematics.
Thanks

FrancisTony:
Umartins1, I need more workings.
I have learnt many things.

Been long I solved Mathematics.
Thanks

Yes, bro. I will. I'm just kinda strong tho it's improving. I'll solve everything and many more.

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

No 12

Before I continue, let someone else post likely questions on Maths too.

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.

What will be added to 4x-16x² to make it a perfect square ??

(a)4 (b)-1/8 (c)1/8 (d)1/9

sumbody400:
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.

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.

Umartins1:


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.

It worked in question 12 ... lols ... Stories touches the heart.

sumbody400:
It worked in question 12 ... lols ... Stories touches the heart.

Hhahahhaaha. Yeah. It does. I know.

Roll some questions, bro.

FrancisTony:


C or B

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.

sumbody400:
What will be added to 4x-16x² to make it a perfect square ??

(a)4 (b)-1/8 (c)1/8 (d)1/9

(4*1/2)²
= 2 ²
= 4

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.

Umartins1:


(4*1/2)²
= 2 ²
= 4

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.

tundeks:

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.

Bro, see whyne........