Free Printable yr 11 revision

1.

Solve the equation for $0\degree\le\theta\le360\degree$ . Select ALL correct answers.

$\tan\theta=-\sqrt{3}$

a)

$60\degree$

b)

$120\degree$

c)

$240\degree$

d)

$300\degree$

2.

Solve the equation for $0\degree\le\theta\le360\degree$ . Select ALL correct answers.

$4\cos\theta=-2$

a)

$60\degree$

b)

$120\degree$

c)

$240\degree$

d)

$300\degree$

3.

Find the missing side x

a)

6.65cm

b)

1.74cm

c)

5.66cm

d)

7.14cm

4.

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. THe angle of elevation from Amanda to the bird is 55, and from Jamie tot he bird is 63. How far away is the bird from Amanda?

a)

25.23

b)

23.19

c)

22.15

d)

20.85

5.

What rule should you use?

a)

Sine

b)

Cosine

6.

a)

10.1

b)

10.0

c)

10.9

d)

8.86

7.

a)

6.99

b)

6.33

c)

13.59

d)

7.83

8.

Find the area of the triangle

a)

72.3cm²

b)

84.4cm²

c)

77.9cm²

d)

78cm²

9.

Jack and Jill are considering to buy a land. A surveyor has given the an accurate sketch as shown below. What is the length of the side opposite angle D?

a)

42 ft

b)

21 ft

c)

84 ft

d)

32 ft

10.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

11.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

12.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

13.

Solve using the Quadratic Formula.

a)

A

b)

B

c)

C

d)

D

14.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Marbles are taken one at a time without replacement. P(both marbles are purple)

a)

2/9

b)

1/3

c)

1/2

d)

1/4

15.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

16.

What is the probability of getting an odd number on the first roll and less than 3 on the second roll?

a)

1/6

b)

2/6

c)

3/5

d)

3/6

17.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

18.

You roll two die.

What is the probability you will roll a 4, then roll a number less than 3?

a)