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Worksheets

Test 3

Total questions: 85

Worksheet time: 5hrs 32mins

Name
Class
Date
1.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
2.
Solve for x.
a)
16
b)
11
c)
50
d)
6
3.

Find m∠1.m\angle1.  

a)

 180°180\degree  

b)

 65°65\degree  

c)

 115°115\degree  

4.
What shape is this? 
a)
Kite
b)
Parallelogram
c)
Rectangle 
d)
Trapezoid 
5.

Given this information, which quadrilateral is proven?

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

6.

Find the interior angle on a regular polygon with 5 sides...

a)

72o

b)

108o

c)

60o

d)

120o

7.

What is the formula to find one interior angle of a regular polygon?

a)

(n-2)180

b)

((n-2)180)/360

c)

((n-2)360)/n

d)

360/n

e)

((n-2)180)/n

8.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
9.
Are the triangles similar?
a)
Yes
b)
No
10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
11.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
12.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
13.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
14.
Find x.
a)
35
b)
20
c)
8
d)
12
15.

What is the length of the monitor diagonally in two decimal places ?

a)

32.1

b)

32.10

c)

54.75

d)

47.2

16.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

17.

Find the distance between (7,7) and (7,-5)

a)

12

b)

14

c)

2

d)

-12

18.

Find the area of the parallelogram.

a)

25 yd2

b)

20 yd2

c)

30yd2

d)

25.5yd2

19.

Find the area of the kite.

a)

19.5

b)

78

c)

39

d)

27

20.

Find the area of the shaded region.

a)

350 cm2

b)

137.5 cm2

c)

212.5 cm2

d)

484.2 cm2

21.
What is the area of the triangle?
a)
460 cm
b)
460 square cm
c)
230 square cm
d)
230 cm
22.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
23.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
24.

what is the area front side of this figure ?

a)

25

b)

10

c)

20

d)

60

25.
What is the name of this 3D solid?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Square Prism
d)
Square Pyramid 
26.
What 3D solid does this net create?
a)
Cube
b)
Cone
c)
Cylinder
d)
Triangular Pyramid
27.

What 3D solid does this net make?

a)

Cube

b)

Cuboid

c)

Triangular Prism

d)

Square-based Pyramid

28.

What 3D solid does this net make?

a)

Cone

b)

Tetrahedron

c)

Cylinder

d)

Square-based Pyramid

29.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
30.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
31.
The rule for reflection over the y-axis is  
(x, y) --> _
a)
(-x, y)
b)
(x, -y)
c)
(y, x)
d)
(-y, x)
32.
The rule for rotation of 180 degrees is  
(x, y) --> _
a)
(-y, x)
b)
(-x, -y)
c)
(y, -x)
d)
(-y, -x)
33.
What is the correct bearing
a)
304
b)
44
c)
56
d)
056
34.

Find the bearing of A from B

a)

250o

b)

110o

c)

290o

d)

070o

35.

Find the bearing of A from B

a)

130o

b)

050o

c)

230o

d)

290o

36.

Bearings are measured from North, Clockwise, using 3 digits.

a)

True

b)

False

37.
What percentage does a whole circle graph represent?
a)
360%
b)
90%
c)
50%
d)
100%
38.

Which are quinary digits?

a)

0,1,2,3,4,5,6,7,8,9 and 0

b)

0,1,2,3,4,5,6, and 7

c)

0, 1,2,3, and 5

d)

0, 1,2,3, and 4

39.

Convert decimal number 25 into quinary (base-5) numeral.

a)

1111

b)

123

c)

50

d)

100

40.

 What is the value of 19 −(1+5) −3What\ is\ the\ value\ of\ 19\ -\left(1+5\right)\ -3  

a)

15

b)

10

c)

15

d)

20

41.

 What is the value of 30×6+(5−2)What\ is\ the\ value\ of\ 30\times6+\left(5-2\right)  

a)

30

b)

20

c)

60

d)

-60

42.

Simplify the following surd...

a)

3√2

b)

2√3

c)

9√2

d)

3√6

43.
Simplify fully: 
2√45 - 5√45 + 9√16
a)
-9√5 + 36
b)
-3√45 + 144
c)
6√16
d)
6√106
44.
Simplify: 
√5 x √6
a)
2√15
b)
√11
c)
√30
d)
3√10
45.

Simplify:

2√3 x 3√11

a)

2√33

b)

6√33

c)

5√14

d)

6√14

46.

 7×7=\sqrt{7}\times\sqrt{7}=  

a)

 77  

b)

 4949  

c)

 7\sqrt{7}  

d)

 1414  

47.

 5+5=\sqrt{5}+\sqrt{5}=  

a)

 252\sqrt{5}  

b)

 00  

c)

 55  

d)

 10\sqrt{10}  

48.

 12÷2=\sqrt{12}\div\sqrt{2}=  

a)

 6\sqrt{6}  

b)

 10\sqrt{10}  

c)

 66  

d)

 1010  

49.

Fully simplify....

a)
b)
c)
d)
50.

A pair of shoes cost $50.00. A 20% discount is offered. What is the amount of discount?

a)

$5.00

b)

$10.00

c)

$60.00

d)

$40.00

51.
Discount is ___________ from the original price.
a)
added
b)
subtracted
52.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
53.
What does the "r" in the interest formula stand for?
a)
Principal
b)
Interest
c)
rate
d)
time
54.
Anna invested $2,500 at an annual rate of 5%.  How long will it take until Anna earns $1,125 in interest?
a)
5 years
b)
8 years
c)
10 years
d)
9 years
55.
Jack deposited $1,400 in his bank account.  After 3 years, the account earned $294 in interest.  Find the simple interest rate.
a)
5%
b)
8%
c)
7.25%
d)
7%
56.
If the time is given in months, you must first _____________ by 12.
a)
add
b)
subtract
c)
multiply
d)
divide
57.
Factor:  x2 + 13x + 30
a)
(x + 3)(x + 10)
b)
(x + 5)(x + 6)
c)
(x + 2)(x + 15)
d)
(x + 1)(x + 30)
58.
Factor:  x2 - 16x + 24
a)
(x + 2)(x - 14)
b)
(x - 2)(x - 14)
c)
(x + 14)(x - 2)
d)
(x - 4)(x - 6)
59.
Find HCF of 12a5, 6a3, and 36a4
a)
36a5
b)
36a3
c)
6a5
d)
6a3
60.
Factorise 3x²+12x
a)
3x(x+4)
b)
3(x²+4)
61.
Factorise 2x+8
a)
2(x+4)
b)
2(x+8)
62.

What are the two numbers whose product is 85 and difference is 12?

a)

17 and -5

b)

-17 and 5

c)

17 and 5

d)

18 and 5

63.

what are the two numbers whose product is 96 and and sum is 20?

a)

24 and 4

b)

-24 and 4

c)

12 and 8

d)

33 and 3

64.

Find the HCF of

 2x2y and xy2x^2y\ and\ xy  

a)

2

b)

1

c)

xy

d)

2xy

65.

Choose the correct answer:

The factors of a4 - b4 is _____

a)

(a2 + b2) (a2 + b2)

b)

(a2 - b2) (a2 - b2)

c)

(a2 + b2) (a + b) (a - b)

d)

None of these

66.
Simplify 
a)
A.(x+7)/(x-4)
b)
B.-3/4
c)
C.(x+3)/(x+4)
d)
D.(x+3)/(x-4)
67.
a)

1 / 5p

b)

12 / 50p

c)

2 / 10p

d)

8 / 16p

68.

 2x+3x+7−x−4x+7=\frac{2x+3}{x+7}-\frac{x-4}{x+7}=  

a)

 11  

b)

 x−1x+7\frac{x-1}{x+7}  

c)

 1x+7\frac{1}{x+7}  

d)

 2x2−5x−12x+7\frac{2x^2-5x-12}{x+7}  

69.

Simplify x2+x−302x−10\frac{x^2+x-30}{2x-10}   

a)

 x+3x+3  

b)

 x2−32\frac{x^2-3}{2}  

c)

 x+62x−2\frac{x+6}{2x-2}  

d)

 x+62\frac{x+6}{2}  

70.

 30x2+4x−12÷6xx−2=\frac{30}{x^2+4x-12}\div\frac{6x}{x-2}=  

a)

 5x(x+6)\frac{5}{x\left(x+6\right)}  

b)

 5x(x−6)\frac{5}{x\left(x-6\right)}  

c)

 180x(x+6)(x−2)\frac{180x}{\left(x+6\right)\left(x-2\right)}  

d)

 5x+6\frac{5}{x+6}  

71.

 x2−y22x−2y÷8x+y=\frac{x^2-y^2}{2x-2y}\div\frac{8}{x+y}=  

a)

 116\frac{1}{16}  

b)

 (x+y)216\frac{\left(x+y\right)^2}{16}  

c)

 x+y8\frac{x+y}{8}  

d)

 (x+y)(x−y)16\frac{\left(x+y\right)\left(x-y\right)}{16}  

72.

Simplify the expression x2−2x−24x2−5x−36\frac{x^2-2x-24}{x^2-5x-36}   

a)

 x−6x+9\frac{x-6}{x+9}  

b)

 x+6x+9\frac{x+6}{x+9}  

c)

 x+6x−9\frac{x+6}{x-9}  

d)

 x−6x−9\frac{x-6}{x-9}  

73.

Find 72% of 325.

(a)  

74.
78 is what percent of 450?
a)
5%
b)
.17
c)
17%
d)
18%
75.

In a class of 10 boys and 14 girls the ratio of girls to boys is

a)

10 : 14

b)

1 : 2

c)

7 : 5

d)

5 : 7

76.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
77.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
78.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

79.
Solve
3x2 - 192 = 0
a)
x = -16, 16
b)
x has no real solutions
c)
x = -8, 8
d)
x = -64, 64
80.
Find the median of these numbers:
2, 3, 4, 5, 5, 7
a)
4
b)
5
c)
4.5
d)
6
81.

Calculate the RANGE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

82.
What is the name of this graph?
a)
line plot
b)
line graph
c)
bar graph
d)
frequency table
83.

How many more potatoes were grown in 2011 than in 2009?

a)

5

b)

10

c)

15

d)

20

84.
The Y axis is _______?
a)
Vertical
b)
Horizontal
c)
criss-cross
d)
diagonal
85.
When was the greatest amount of shoppers at the store?
a)
10am
b)
1pm
c)
6pm
d)
2pm