Free Printable 3rd Nine Weeks Study Guide

1.

Solve for x

a)

5

b)

9

c)

19

d)

38

2.

Solve for x

a)

6

b)

23.3

c)

36

d)

17.75

3.

Solve for x.

a)

2

b)

12.67

c)

15

d)

29.67

4.

Find the value of x.

a)

19

b)

22

c)

27

d)

30

5.

Find the value of x.

a)

10

b)

9

c)

6

d)

7

6.

What is the measure of angle U?

a)

60

b)

79

c)

41

d)

23

7.

Whis statement is NOT true?

a)

b)

c)

d)

8.

a)

53

b)

98

c)

112

d)

146

9.

What is the value of x?

a)

16

b)

20

c)

28

d)

32

10.

In a 30-60-90 triangle, if the shorter leg is 5, then the hypotenuse is _____.

a)

10

b)

9

c)

12

d)

7

11.

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?

a)

9 m

b)

15.2 m

c)

12 m

d)

17.5 m

12.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

13.

a)

15

b)

13

c)

11

d)

17

14.

a)

8

b)

9.5

c)

10

d)

10.5

15.

Using a proportion, find the height of the tree.

a)

x = 0.0625 ft.

b)

16 ft

c)

x = 16 ft.

16.

What is an acute angle?

a)

An acute angle is an angle that measures less than 90 degrees.

b)

An acute angle is an angle that measures more than 180 degrees.

c)

An acute angle is an angle that measures exactly 90 degrees.

d)

An acute angle is an angle that measures more than 90 degrees.

17.

What is an obtuse angle?

a)

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

b)

An obtuse angle is an angle that measures more than 180 degrees.

c)

An obtuse angle is an angle that measures exactly 90 degrees.

d)

An obtuse angle is an angle that measures less than 90 degrees.

18.

What is a right angle?

a)

An angle that measures exactly 90 degrees.

b)

An angle that measures more than 90 degrees.

c)

An angle that measures less than 90 degrees.

d)

An angle that measures exactly 180 degrees.

19.

What is a straight angle?

a)

An angle that measures more than 180 degrees.

b)

An angle that measures exactly 90 degrees.

c)

An angle that measures exactly 180 degrees.

d)

An angle that measures less than 180 degrees.

20.

What is a line segment?

a)

A line segment has infinite length.

b)

A line segment is a curved line.

c)

A line segment has only one endpoint.

d)

A line segment is a part of a line that is bounded by two distinct endpoints.

21.

What is a line?

a)

A line is a curved path that extends infinitely in both directions.

b)

A line is a straight path that extends infinitely in both directions.

c)

A line is a two-dimensional shape with length but no width or height.

d)

A line is a closed shape with three or more sides.

22.

What is a ray?

a)

A ray is a line that starts at a point and extends infinitely in one direction.

b)

A ray is a line segment with a fixed length.

c)

A ray is a line that starts at a point and extends infinitely in both directions.

d)

A ray is a curved line that changes direction at every point.

23.

What are complimentary angles?

a)

Two angles that add up to 180 degrees.

b)

Two angles that add up to 45 degrees.

c)

Two angles that add up to 270 degrees.

d)

Two angles that add up to 90 degrees.

24.

What are supplementary angles?

a)

Two angles that add up to 180 degrees.

b)

Two angles that add up to 45 degrees.

c)

Two angles that add up to 270 degrees.

d)

Two angles that add up to 90 degrees.

25.

Find a.

a)

5

b)

√2

c)

5√2

d)

2

26.

BONUS - Solve for x.
You will need to use 45-45-90 and 30-60-90 triangles.

a)

10√3

b)

15

c)

5√3

d)

15√2

27.

The Summerdale Community Council is planning the renovation of a park in the center of the town. The park will be a rectangular region of 85 feet by 175 feet with an area of 14,875 square feet. There will be a wooden fence along the perimeter of the park. What is the total length of the fence, in feet?

a)

250

b)

340

c)

410

d)

480

e)

520

28.

The figure is composed of equilateral triangle ABD and another equilateral triangle BCD. The length of line AD is 12 inches. What is the perimeter of figure ABCD?

a)

12

b)

24

c)

44

d)

48

e)

60

29.

This polygon, whose side lengths are given in meters, has 2 unknown sides. Each angle between adjacent sides measure 90 degrees. What is the polygon's perimeter, in meters?

a)

44

b)

62

c)

80

d)

158

e)

234

30.

Justin is centering a mosaic on his bedroom wall. As shown in the figure, the rectangular wall is 28 feet in length, and the mosaic is 3 feet in height and 6 feet in length. The right edge of the mosaic will be y feet from the right edge of the wall, and the left edge of the mosaic will also be y feet from the left edge of the wall. What is the value of y, in feet?

a)

9

b)

10

c)

10.5

d)

11

e)

12.5

31.

Points X and Y lie on line WZ. The length of WZ is 36 inches; WY is 16 inches long; and XZ is 28 inches long. How many inches long, if it can be determined, is XY?

a)

4

b)

8

c)

12

d)

16

e)

Cannot be determined from the given information

32.

What does it mean to find the perimeter?

a)

The perimeter is the measurement of all the boxes inside.

b)

The perimeter is a fence.

c)

The perimter is the measuremnt of all the line segments around a shape.

d)

The perimeter is a dance that was made popular by the pop-rock star, Roscoe The Dog.

33.

a)

perpendicular lines

b)

parallel lines

c)

vertex

d)

intersecting

34.

__________ is a number that measures the “steepness” of a line (rise/run).

a)

Midpoint

b)

Slope

c)

Axis

d)

Slant

35.

Equation of a Line

a)

y = mx + b

b)

l = mb + x

c)

y = mb + x

36.

Circumference of a Circle

a)

C=πr²

b)

C=2πr

c)

C=2π

37.

Area of a Square

a)

A=rx2

b)

A=s²

c)

A=LxW

38.

Area of a Triangle

a)

A=bh⁄2

b)

A=b+h

c)

A=bxhx2

39.

Area of a Circle

a)

A=x²

b)

A=πr²

c)

A=π²

40.

Area of a Rectangle

a)

A=π²

b)

A=2xbxh

c)

A=lw or bh

41.

Area of a Trapezoid

a)

A= ½bh

b)

A=bh

c)

A=½ (b₁+b₂)h

42.

A = bh

This is the formula for:

a)

Area of a parallelogram

b)

Area of a triangle

c)

Area of a trapezoid

d)

Perimeter of a parallelogram

43.

$C\ =\ 2\pi r$

This is the formula for:

a)

Area of a circle

b)

Circumference of a circle

c)

Center of a circle

d)

Circumference of any shape

44.

$A\ =\ \frac{1}{2}\left(b_1\ +\ b_2\right)h$

This is the formula for:

a)

Area of a triangle

b)

Area of a circle

c)

Area of a parallelogram

d)

Area of a trapezoid

45.

What is this shape?

a)

Trapezoid

b)

Parallelogram

c)

Pyramid

d)

Prism

46.

$A=2\pi r^2$

What is this formula?

a)

Area of a triangle

b)

Area of a parallelogram

c)

Area of a cone

d)

Area of a circle

47.

What is this shape?

a)

prism

b)

cone

c)

cylinder

d)

sphere

48.

What is this shape?

a)

right prism

b)

right cylinder

c)

regular pyramid

d)

cube

49.

$V=\frac{4}{3}\pi r^3$

What is this formula?

a)

Volume of a sphere

b)

Volume of a right cylinder

c)

Volume of a pyramid

d)

Volume of a cube

50.

What is the name of the red line?

a)

radius

b)

diameter

c)

circumference

d)

perimeter

51.

What is the name of the red line?

a)

radius

b)

diameter

c)

circumference

d)

perimeter

52.

Area formula for circle?

a)

$A=\pi r^2$

b)

$A=bh$

c)

$A=\frac{1}{2}bh$

d)

$A=\frac{1}{2}\left(b1+b2\right)h$

53.

Area formula for triangle

a)

$A=\pi r^2$

b)

$A=bh$

c)

$A=\frac{1}{2}bh$

d)

$A=\frac{1}{2}\left(b1+b2\right)h$

54.

A teacher calculated the mean score of a test to be 75. If five students scored 70, 80, 78, 72, and what score did the fifth student receive to have a mean score of 75?

a)

75

b)

80

c)

85

d)

90

55.

At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

56.

The number of miles that Kiki cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?

a)

24

b)

36

c)

39

d)

52

57.

Find the mean for the number of dog walks per day.

a)

The mean is 20

b)

The mean is 4

c)

The mean is 5

d)

The mean is Wednesday.

58.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

59.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.5 feet

c)

13 feet

d)

11.6 feet

60.

a)

7 ft

b)

5 ft

c)

3 ft

d)

2 ft

61.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

3rd Nine Weeks Study Guide

Total questions: 61

Worksheet time: 1hrs 1mins

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