Free Printable Year 10 Maths Revision Sem 2#2

1.

Expand: $\log\ ab$

a)

$\log a\ -\ \log b$

b)

$b\log a$

c)

$a\log b$

d)

$\log a+\log b$

2.

Which of the logarithms below is equivalent to the following:
$2\log12$

a)

log 10

b)

log 6

c)

log 24

d)

log 144

3.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

4.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

5.

a)

2x - 5

b)

x - 4 + (3/4x - 5)

c)

2x + 4 + (3/4x - 5)

d)

2x + 4

6.

Solve using any method.

x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

7.

Solve for x:

(x + 6)²= 49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

8.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

9.

Convert x²- 9x + 20 to factored form and solve.

a)

(x-10)(x+2); x = -2, 10

b)

(x+4)(x+5); x = -5, -4

c)

(x-4)(x-5); x = 4, 5

d)

Not factorable

10.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

11.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

12.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

13.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

14.

What is the probability that a randomly selected student wants to be a therapist given that the student has a fear of snakes? Leave as a fraction.

a)

$\frac{6}{11}$

b)

$\frac{1}{3}$

c)

$\frac{3}{11}$

d)

$\frac{3}{10}$

15.

Solve using the quadratic formula

$0=4x^2-x-7$

a)

$x=\frac{1\pm\sqrt{113}}{2}$

b)

$x=\frac{1\pm\sqrt{111}}{8}$

c)

$x=\frac{1\pm\sqrt{113}}{8}$

d)

$x=\frac{4\pm\sqrt{111}}{2}$

Year 10 Maths Revision Sem 2#2

Total questions: 15

Worksheet time: 39mins

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