Core Maths 24

Core Maths 24

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Question 1 of 20

1. Question
Simplify $\sqrt{\frac{8^2X4^{n+1}}{2^{2n}X16}}$
- 16
- 8
- 4
- 1
Correct

Incorrect
Question 2 of 20

2. Question
A collection of well-defined objects is called
- union
- intercession
- Set
- disjoint
Correct

Incorrect
Question 3 of 20

3. 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 4 of 20

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

Incorrect
Question 5 of 20

5. Question
If ${log}_2{(}3x-1)=5$ , find x
- 2.00
- 3.67
- 8.67
- 11.00
Correct

Incorrect
Question 6 of 20

6. Question
Which of the following is not a rational number?
- -5
- $\sqrt4$
- $3\frac{3}{4}$
- $\sqrt{90}$
Correct

Incorrect
Question 7 of 20

7. Question
Evaluate $2^0+2^{-1}+2^{-2}$
- 1.75
- 7.15
- 5.71
- 1.57
Correct

Incorrect
Question 8 of 20

8. Question
Express $a{log}_y{b}=x$ in index form
- $a^y=b^x$
- $y^x=a^b$
- $y^x=b^a$
- $y^b=a^x$
Correct

Incorrect
Question 9 of 20

9. Question
If ${log}_{10}{3}=a and {log}_{10}{5}=b$ , find in terms of a and b, the value of ${log}_{10}{7}5$
- a + 2b
- 2a + b
- a + b
- 2ab
Correct

Incorrect
Question 10 of 20

10. Question
If the Logarithm of a number to base 10 is 2.6025, find the number.
- 4004
- 400.4
- 40.04
- 4.004
Correct

Incorrect
Question 11 of 20

11. Question
Find the value of n if $\frac{{log}_{10}{n}}{{log}_{10}{6}4}=\frac{1}{2}$
- 4
- 8
- 16
- 24
Correct

Incorrect
Question 12 of 20

12. Question
Evaluate ${log}_{10}{6}+{log}_{10}{4}5-{log}_{10}{2}7$
- 0
- 1
- 1.5
- 2
Correct

Incorrect
Question 13 of 20

13. Question
Given that $3\times9^{1+x}=27^{-x}$ , find the value of x.
- $-\frac{3}{5}$
- $-1\frac{2}{3}$
- -2
- -3
Correct

Incorrect
Question 14 of 20

14. Question
Which of the following is the locus of points equidistant from two intersecting lines?
- The circle
- The Mediator
- The angle bisector
- The perpendicular bisector
Correct

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Question 15 of 20

15. Question
Find the quadratic equation whose roots are $\frac{1}{2}and-\frac{3}{2}$
- $4x^2 + 4x - 3=0$
- $4x^2 + 4x + 3=0$
- $4x^2 - 4x + 3=0$
- $4x^2 - 4x - 3=0$
Correct

Incorrect
Question 16 of 20

16. Question
For what value(s) of y is $\frac{1}{y}+\frac{1}{y-1}$ undefined?
- 0 Only
- 0.5 Only
- 1 Only
- 0 and 1 Only
Correct

Incorrect
Question 17 of 20

17. Question
If $sin\theta=\frac{3}{5}$ , find the value of $2sin\theta+3cos{\theta}$
- 2
- 2.5
- 3
- 3.5
Correct

Incorrect
Question 18 of 20

18. 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.
- $\sqrt3$
- $\sqrt2$
- $\sqrt23$
- [latex]-\sqrt3[/latex]
Correct

Incorrect
Question 19 of 20

19. Question
If X varies inversely as Y and Y varies directly as Z, what is the relationship between X and Z.
- $X\propto Z$
- $X\propto\frac{1}{Z}$
- $X\propto Z^2$
- $X\propto\frac{1}{Z^2}$
Correct

Incorrect
Question 20 of 20

20. Question
In an examination, the sum of the marks obtained by Kofi and Ama was 81 and the difference was 17. If Kofi had a larger mark, find Ama’s mark.
- 32
- 37
- 47
- 49
Correct

Incorrect

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