Core Maths 22

Core Maths 22

Time limit: 0

Quiz Summary

0 of 20 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 20 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

Current
Review
Answered
Correct
Incorrect

Question 1 of 20

1. Question
Simplify the expression $\frac{x+y}{x^{-1}+y^{-1}}$
- ${\frac{x}{y}}$
- xy
- $\frac{y}{x}$
- $\frac{1}{y}$
Correct

Incorrect
Question 2 of 20

2. Question
Simplify $\left(2\frac{1}{2}\right)^2-\left(1\frac{1}{2}\right)^2$
- 2
- 3
- 4
- 5
Correct

Incorrect
Question 3 of 20

3. Question
Evaluate : $\frac{cos{6}5^0}{sin{2}5^0}+\frac{sin{3}5^0}{cos{5}5^0}$
- 2.16°
- 1.26°
- 6.21°
- 6.12°
Correct

Incorrect
Question 4 of 20

4. Question
If $v=\pi r^2$ hand $s=2\pi rh$ , express v in terms of r and s.
- v=2sr
- $v=\frac{2}{sr}$
- $v=\frac{sr}{2}$
- $v=\frac{2r}{s}$
Correct

Incorrect
Question 5 of 20

5. Question
If p : q = 2 : 3, Find $\frac{p^2+2q^2}{q^2-p^2}$
- $2\frac{2}{5}$
- $3\frac{3}{5}$
- $4\frac{2}{5}$
- $6\frac{2}{5}$
Correct

Incorrect
Question 6 of 20

6. Question
Given that $\theta=6{0^0}_and_\beta=30^0$ , evaluate $\frac{sin{\beta}+2cos{\theta}}{cos{\beta}}$ , leaving your answer in surd form.
- $3\sqrt3$
- $1+2\sqrt3$
- $\sqrt3$
- $1-\sqrt3$
Correct

Incorrect
Question 7 of 20

7. Question
If $a=2^{3.2}and b=2^{4.5},find {log}2{a}+{log}2{b}$
- 1.3
- 1.4
- 7.7
- 14.4
Correct

Incorrect
Question 8 of 20

8. Question
Simplify $\frac{log{\sqrt8}}{log{8}}$
- 1
- $\frac{\sqrt2}{4}$
- $\frac{1}{2}$
- $\frac{\sqrt2}{2}$
Correct

Incorrect
Question 9 of 20

9. Question
If ${log}2{(}3x-1)=5$ , find_x
- 2.00
- 3.67
- 8.67
- 11.00
Correct

Incorrect
Question 10 of 20

10. Question
Find the smaller value of x which satisfies the equation $x(x+\frac{6}{x}-1)=12$
- 3
- 2
- -2
- 3, -2
Correct

Incorrect
Question 11 of 20

11. Question
Solve for x if $2\times4^{1-x}=8^{-x}$
- 3
- 1
- -1
- -3
Correct

Incorrect
Question 12 of 20

12. Question
If $(3n-1)^\frac{1}{3}=2$ , find n.
- 4
- 3
- 2
- 1
Correct

Incorrect
Question 13 of 20

13. Question
Evaluate $\frac{49^\frac{2}{3}\div49^\frac{1}{6}}{\left(\frac{1}{7}\right)^{-\frac{7}{6}}\times\left(\frac{1}{7}\right)^\frac{1}{6}}$
- 0
- 1
- 7
- 49
Correct

Incorrect
Question 14 of 20

14. Question
Evaluate $1001^2-1$
- 1002
- 10020
- 100200
- 1002000
Correct

Incorrect
Question 15 of 20

15. Question
Simply $\frac{(2x)^4}{2x^4}$
- 8
- 4
- 2
- 1
Correct

Incorrect
Question 16 of 20

16. Question
Simplify $\frac{a-1}{a^2-1}$
- ${\frac{1}{a}}$
- $\frac{1}{a-1}$
- $\frac{1}{1-a}$
- $\frac{1}{a+1}$
Correct

Incorrect
Question 17 of 20

17. Question
Simplify $\frac{1}{m}-\frac{n}{m^2+mn}$
- ${\frac{m}{m+n}}$
- $\frac{1}{m-n}$
- $\frac{m}{m-n}$
- $\frac{1}{m+n}$
Correct

Incorrect
Question 18 of 20

18. Question
Factorize $25a^2-4$
- (5a-2)(5a-2)
- (5a-2)(5a+2)
- (5a-2)(5+2a)
- (5a-2)(5-2a)
Correct

Incorrect
Question 19 of 20

19. Question
Simplify: $\frac{m^2-n^2}{m-n}$
- m+n
- -m-n
- -m+n
- m-n
Correct

Incorrect
Question 20 of 20

20. Question
Express $25_{ten}$ as a number in base two.
- $10011_{two}$
- $11001_{two}$
- $11010_{two}$
- $1100_{two}$
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.