Elective Maths 26

Elective Maths 26

Time limit: 0

Quiz Summary

0 of 24 Questions completed

Questions:

Information

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading…

You must sign in or sign up to start the quiz.

You must first complete the following:

Results

Quiz complete. Results are being recorded.

Results

0 of 24 Questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 point(s), (0)

Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)

Categories

Not categorized 0%

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24

Current
Review
Answered
Correct
Incorrect

Question 1 of 24

1. Question
The gradient of a curve is 4x-5. If the curve passes through the point (1 .- 1), find the point where the curve cuts the y-axis.
- (0,4)
- (0,2)
- (0 ,- 2)
- (0 ,- 4)
Correct

Incorrect
Question 2 of 24

2. Question
The velocity of a particle moving in a straight line at time t seconds is given by v = 3t² -2t ., Find an expression for the distance, s metres, given that s = 2m when t = 1 s.
- $s=t^3-2t^2$
- $s=t^3+t^2-1$
- $s=t^3-t^2+2$
- $s=2t^3+3t^2-1$
Correct

Incorrect
Question 3 of 24

3. Question
Find, in square units, the area of the region enclosed by the curve y=x² -3x+2 and the lines x=1and x =2
- 1/6
- 4/3
- 2/3
- 5/6
Correct

Incorrect
Question 4 of 24

4. Question
A body starts from rest and accelerates at (2t +5) ms ^-2, where t is the time in seconds.

Find the velocity of the body at t = 3s.
- $2 ms^{-1}$
- $6 ms^{-1}$
- $11 ms^{-1}$
- $24 ms^{-1}$
Correct

Incorrect
Question 5 of 24

5. Question
A body starts from rest and accelerates at (2t +5) ms ^-2, where t is the time in seconds.

Find the distance covered by the body in 3 seconds.
- 27.5 m
- 31.5 m
- 45.0 m
- 72.0 m
Correct

Incorrect
Question 6 of 24

6. Question
Find the area enclosed by the curve y =x(x-2) and the x-axis.
- $1\frac{1}{3}$ square units
- $2\frac{1}{3}$ square units
- $11\frac{1}{3}$ square units
- $21\frac{1}{3}$ square units
Correct

Incorrect
Question 7 of 24

7. Question
The gradient of a curve at the point (-2,0) is 3x² – 4x. Find the equation of the curve.
- y =6x -4
- $y =6x^2 - 4x + 12$
- $y =x^3 -2x^2$
- $y =x^3 - 2x^2 + 16$
Correct

Incorrect
Question 8 of 24

8. Question
A particle starts from rest and moves in a straight line such that its acceleration after t seconds is given by a = (3t – 2) ms^-2. Find the other time when the velocity would be zero.
- $\frac{1}{3}s$
- $\frac{3}{4}s$
- $\frac{4}{3}s$
- 2s
Correct

Incorrect
Question 9 of 24

9. Question
Find the coefficient of $x^5$ in the binomial expansion of $(2+x)^7$
- 21
- 28
- 84
- 140
Correct

Incorrect
Question 10 of 24

10. Question
Find the coefficient of [latx]x^3[/latex] in the binomial expansion of $(1+2x)^6$
- 60
- 100
- 160
- 180
Correct

Incorrect
Question 11 of 24

11. Question
Find the coefficient of $x^2$ in the binomial expansion of $(1+\frac{x}{4})^6$
- 15/16
- 15/8
- 15/4
- 15/2
Correct

Incorrect
Question 12 of 24

12. Question
Find the coefficient of $x^3$ in the binomial expansion of $(1+\frac{x}{4})^6$
- 15/256
- 5/16
- 15/16
- 3/2
Correct

Incorrect
Question 13 of 24

13. Question
Find the constant term of the expansion $\left(2x^2+\frac{1}{x}\right)^9$ .
- 84
- 168
- 336
- 672
Correct

Incorrect
Question 14 of 24

14. Question
Calculate the coefficient of $x^6$ in the binomial expansion of $(x+y)^8$
- $8y^2$
- $28y^2$
- $56y^2$
- $70y^2$
Correct

Incorrect
Question 15 of 24

15. Question
The points (3,-2) and (-5,6) are ends of a circle. Find the equation of the circle.
- $x^2+y^2+2x-4y+27=0$
- $x^2+y^2+2x-4y-27=0$
- $x^2+y^2-2x-4y-27=0$
- $x^2+y^2-2x+4y+27=0$
Correct

Incorrect
Question 16 of 24

16. Question
Find the equation of a circle whose center is at the point (2,1) and passes through the point (4,-3)
- $x^2+y^2+4x-2y-15=0$
- $x^2+y^2-4x-2y-15=0$
- $x^2+y^2-2x-4y-27=0$
- $x^2+y^2-2x+4y-27=0$
Correct

Incorrect
Question 17 of 24

17. Question
Find the coordinates of the center and the radius of the circle $x^2+y^2+2y-8=0$
- (0,-1),3units
- $(0,-1),\sqrt{10}units$
- $(0,-1),2\sqrt2units$
- (-1,0),3units
Correct

Incorrect
Question 18 of 24

18. Question
he equation of a circle is $3x^2+3y^2=4$ . Find its radius.
- 4
- 2
- $\frac{2\sqrt3}{3}$
- $\frac{2}{3}$
Correct

Incorrect
Question 19 of 24

19. Question
Write down the equation of a circle which has the points (2,-3) and (-1,4) as ends of its diameter.
- $x^2+y^2-x-y-10=0$
- $x^2+y^2-x-y-14=0$
- $x^2+y^2+x+y-14=0$
- $x^2+y^2+x-y-10=0$
Correct

Incorrect
Question 20 of 24

20. Question
Given that $sin{x}=\frac{5}{13}and sin{y}=\frac{8}{17}$ , where x and y are acute, find the value of $cos{(}x+y)$
- $\frac{130}{221}$
- $\frac{140}{221}$
- $\frac{140}{204}$
- $\frac{220}{22}$
Correct

Incorrect
Question 21 of 24

21. Question
Express $cos{\theta}=150^0$ in surd form.
- $-\sqrt3$
- $\frac{-\sqrt3}{2}$
- $-\frac{1}{2}$
- $\frac{\sqrt2}{2}$
Correct

Incorrect
Question 22 of 24

22. Question
Given that $3cos{x}+44sin{x}=0$ , find $tan{x}$
- -4/3
- -3/4
- ¾
- 4/3
Correct

Incorrect
Question 23 of 24

23. Question
Given that $tan{x}=\frac{5}{12}and tan{y}=\frac{3}{4}$ , find $tan{(}x+y)$
- 16/33
- 33/56
- 33/16
- 56/33
Correct

Incorrect
Question 24 of 24

24. Question
Evaluate $cos{7}5^0$ , leaving the answer in a surd form.
- $\frac{\sqrt2}{2}(\sqrt3+1)$
- $\frac{\sqrt2}{4}(\sqrt3-1)$
- $\frac{\sqrt2}{4}(\sqrt3+1)$
- $\frac{\sqrt2}{2}(\sqrt3-1)$
Correct

Incorrect

Login

Accessing this course requires a login. Please enter your credentials below!

Username or Email Address

Password

Remember Me

Lost Your Password?

Register

Don't have an account? Register one!

Register an Account

Username

Email

Registration confirmation will be emailed to you.