Core Maths 23

Core Maths 23

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Question 1 of 20

1. Question
Express $23_{ten}$ in binary system
- 10010
- 10100
- 10111
- 10101
Correct

Incorrect
Question 2 of 20

2. Question
Simplify $100110_{2} + 11011_{2}$
- $1000001_{two}$
- $10000001_{two}$
- $1001001_{two}$
- $1010001_{two}$
Correct

Incorrect
Question 3 of 20

3. Question
Subtract $457_8from 1205_8$
- $457_8$
- $547_8$
- $557_8$
- $526_8$
Correct

Incorrect
Question 4 of 20

4. Question
Evaluate $1011_{two}\times1101_{two}$
- $11000_{two}$
- $1000111_{two}$
- $1001111_{two}$
- $10001111_{two}$
Correct

Incorrect
Question 5 of 20

5. Question
Convert $10011_2$ to a numeral in base 10.
- 18
- 19
- 35
- 38
Correct

Incorrect
Question 6 of 20

6. Question
Evaluate $mp^2-p(m-p)$ if m = 3 and p= 5
- 121
- 85
- 140
- 55
Correct

Incorrect
Question 7 of 20

7. Question
If m = 3 and n = -2, find the value of $\frac{m^2n-n^2m}{3mn}$
- $\frac{11}{3}$
- $\frac{7}{3}$
- $\frac{5}{3}$
- $\frac{1}{3}$
Correct

Incorrect
Question 8 of 20

8. Question
Which of the following is equivalent to 3a + 4b – (–6a – 3b) ?
- 16ab
- –3a + b
- 9a + b
- 9a + 7b
Correct

Incorrect
Question 9 of 20

9. Question
If w = -3, x = 14, y = 17 and z = -2, evaluate $\frac{(x-y)^3+z^2}{w^3}$
- $\frac{23}{27}$
- $\frac{31}{27}$
- $-\frac{23}{27}$
- $- \frac{31}{27}$
Correct

Incorrect
Question 10 of 20

10. Question
Evaluate $88.23^2-11.77^2$
- 159.9
- 200.0
- 7646.0
- 7923.1
Correct

Incorrect
Question 11 of 20

11. Question
Given that $ps=\frac{1}{2}m(v^2-u^2)$ , evaluate p, correct to two decimal places, when v = 3.7, u = 2.3, m = 0.05 and s = 0.07
- 8.67
- 3.04
- 3.00
- 0.01
Correct

Incorrect
Question 12 of 20

12. Question
Multiply $\frac{mk}{3m+3k}by\frac{m+k}{m}$
- $\frac{k}{3}$
- $\frac{m-k}{3m}$
- $\frac{mk}{3}$
- $\frac{mk}{3m}$
Correct

Incorrect
Question 13 of 20

13. Question
Simplify $\frac{4-x^2}{2x-x^2}where x\neq0and x\neq2$
- $\frac{2-x}{x}$
- $\frac{2+x}{x}$
- $\frac{2}{x}$
- $\frac{x-2}{x}$
Correct

Incorrect
Question 14 of 20

14. Question
y varies inversely as the square of x. When x=3, y=100. Find the value of x when y=25
- x =30
- x=12
- x = 6
- x = 5
Correct

Incorrect
Question 15 of 20

15. Question
Find the value of y for which the expression $\frac{y^2-9y+18}{y^2+4y-21}$ is undefined.
- 6, -7
- 3, -6
- 3, -7
- -3,-7
Correct

Incorrect
Question 16 of 20

16. Question
Given that 2x+y=7 and 3x-2y=3, by how much is 7x greater than 10?
- 1
- 3
- 7
- 17
Correct

Incorrect
Question 17 of 20

17. Question
If $\frac{\sqrt2}{2}(1-\sqrt2)^2$ is expressed in the form $a+b\sqrt2$ , find (a+b)
- $-3\frac{1}{2}$
- $-\frac{1}{2}$
- $\frac{1}{2}$
- $3\frac{1}{2}$
Correct

Incorrect
Question 18 of 20

18. Question
Express $\frac{13}{15}-\frac{7}{10}$ as a percentage.
- 10%
- 13.3%
- 16.7%
- 40%
Correct

Incorrect
Question 19 of 20

19. Question
Given that $25^x=1$ , find x
- 0
- $\frac{1}{2}$
- 1
- 2
Correct

Incorrect
Question 20 of 20

20. Question
Solve $2(\frac{1}{8})^n=32^{n-1}$
- 4
- 2
- $\frac{3}{4}$
- $\frac{1}{2}$
Correct

Incorrect

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