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Mathematics Holiday Assignment

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Find the area of the sector. Round your answer to the nearest tenth.

a)

5.2 units2

b)

10.5 units2

c)

31.4 units2

d)

38.2 units2

2.

Find the area of the sector. Round your answer to the nearest tenth.

a)

3.9 m2

b)

7.9 m2

c)

9.6 m2

d)

11.8 m2

3.

Is the formula for

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

4.

Find the arc length of the sector.

a)

A

b)

B

c)

C

d)

D

5.

Find the area of the shaded region. Round your answer to the nearest tenth.

a)

18.8 units2

b)

9.4 units2

c)

113.1 units2

d)

77.6 units2

6.
How does the process for finding the arc length differ from the process for finding the sector area?
a)
The arc length is a degree while the sector area is labeled in square units.
b)
The arc length uses π while the sector area does not always use π.
c)
The arc length and sector area are always equal.
d)
The arc length requires using the circumference while sector area requires the circle area formula.
7.

Is the formula for

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

8.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
9.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
10.
Find x.
a)
35
b)
20
c)
8
d)
12
11.
a)

11

b)

12

c)

9.8

d)

11.5

12.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

13.
Does an 8, 15, 16 triangle have a Right Angle?
a)
Yes
b)
no
14.

PQ is the base of a right angled triangle... RQ is the height of the right angled triangle... Then, determine the hypotenuse of the right angled triangle.

a)

PQR

b)

RQP

c)

QP

d)

PR

15.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
16.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
17.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
18.

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

a)

sine

b)

cosine

c)

tangent

d)

trigonometry

19.
What type of triangle is the context of our study of trigonometry?
a)
right triangle
b)
isosceles triangle
c)
scalene triangle
d)
acute triangle
20.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95

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