Free Printable 2023 Spring Semester Exam Review

1.

What is this special triangle called?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

2.

What is this special triangle called?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

3.

What is the length of y in this picture?

a)

45°

b)

5√2

c)

90°

d)

5

4.

I have been given a hypotenuse in this 45°-45°-90° triangle. How do I find the length of a leg of the triangle?

a)

Multiply by √2

b)

Divide by √2

c)

It's the same length as the hypotenuse.

d)

Divide by 2

5.

What is the length of y in this 45°-45°-90° triangle?

a)

8√2

b)

4√2

c)

4

d)

8

6.

In this 45°-45°-90° triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply the leg's length by √2.

c)

Multiply the leg's length by 2.

d)

Divide the leg's length by √2.

7.

I have been given the short leg in this 30°-60°-90° triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

8.

I have been given the short leg in this 30°-60°-90° triangle. How do I find the length of the long leg?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by 2

9.

Find the value of x.

a)

10

b)

√3

c)

5

d)

10√3

10.

What is the length of the side adjacent to ∠A?

a)

30

b)

40

c)

50

11.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

12.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

13.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$Sin\ 38\degree\ =\ \frac{h}{15}$

b)

$Sin\ 38\degree\ =\ \frac{15}{h}$

c)

$Cos\ 38\degree\ =\ \frac{15}{h}$

d)

$Tan\ 38\degree=\ \frac{h}{15}$

14.

If you are given the adjacent side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

15.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

16.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

17.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

18.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

19.

Solve for x.

a)

12.1

b)

7.2

c)

6.0

d)

8.9

20.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

33°

b)

49°

c)

39°

d)

41°

21.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

22.

Find tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

23.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

24.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

25.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

26.

Which triangle is correctly labeled?

a)

b)

c)

d)

27.

Name the circle part shown.

a)

Arc

b)

Sector

c)

Chord

d)

Radius

28.

Name the circle part shown.

a)

Diameter

b)

Radius

c)

Sector

d)

Tangent

29.

Name the circle part shown.

a)

Diameter

b)

Radius

c)

Chord

d)

Tangent

30.

Which picture shows a diameter?

a)

b)

c)

d)

31.

What part of the circle is line AB?

a)

diameter

b)

chord

c)

secant

d)

tangent

32.

What part of the circle is O?

a)

diameter

b)

radius

c)

center

d)

chord

33.

What part of the circle is segment AB?

a)

diameter

b)

radius

c)

tangent

d)

chord

34.

Which picture shows an arc?

a)

b)

c)

d)

35.

Given a circle with a diameter of 10 m, what is the radius?

a)

10 m

b)

5 m

c)

20 m

d)

15 m

36.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

37.

What is the area of this circle?

a)

25π

b)

10π

c)

π

d)

5π

38.

Find x

a)

10

b)

5

c)

18

d)

9

39.

If minor arc AC = 96° , what is the measure of ∠ ABC?

a)

53°

b)

64°

c)

72°

d)

84°

40.

Find the circumference of the circle. Leave your answer in terms of π.

a)

10π

b)

20π

c)

100π

d)

20

41.

Find the circumference of the circle. Leave your answer in terms of π.

a)

36π

b)

12π

c)

6π

d)

24π

42.

What is the measure of arc AD?

a)

38°

b)

142°

c)

180°

d)

153°

43.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

44.

What is the measure of arc AB?

a)

140°

b)

142°

c)

180°

d)

153°

45.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

46.

Find the value of x.

a)

10

b)

5

c)

18

d)

9

47.

Find the value of x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

48.

QS is tangent to circle P at point Q. Find the length of $\overline{QS}$ .

a)

144

b)

14

c)

12

d)

13

49.

In the diagram, line AB is tangent to Circle O at point B. Find the length of $\overline{OA}$ .

a)

15

b)

6

c)

-24

d)

14

50.

Determine the value of $\angle CAB$ using the information given in the diagram.

a)

124º

b)

99º

c)

74º

d)

50º

51.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

52.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

53.

What is the MODE of a data set?

a)

The middle score

b)

Scores added & divided by the number of scores

c)

The most frequent score

d)

The middle when in order

54.

How do you calculate the SPREAD or the RANGE of a data set?

a)

the greatest number - the lowest number

b)

the average number (added together, then divided by the number of dots)

c)

The most frequent number

d)

The middle when in order

55.

What is the MEDIAN of a data set?

a)

The middle score

b)

Scores added & divided by the number of scores

c)

The most frequent score

d)

The middle when in order

56.

What is the shape of the dot plot shown?

a)

skewed left

b)

skewed right

c)

symmetrical

57.

How many parks have at least 40 trees?

a)

26

b)

31

c)

17

d)

22

58.

List the five values of a data set used to make a box- and - whisker plot.

HINT: Together, they are called the "five- number summary" of the data.

a)

Mean

Median

Mode

Range

Standard Deviation

b)

Minimum

Lower Quartile

Median

Upper Quartile

Maximum

c)

Range

Interquartile Range

Mode

Quartiles

Variance

d)

Minimum

Maximum

Middle Quartile

Outlier

Range

59.

How do you calculate the inter-quartile range of a data set?

a)

3rd Quartile - 1st Quartile

b)

Greatest Value - Least Value

c)

Interquartile range is the same as the greatest value

d)

Interquartile range is always 1

60.

In a box- and - whisker plot, what percent of the data does the "box" represent?

a)

0%

b)

25%

c)

100%

d)

50%

61.

Which Shop has a wider range of surfboard prices?

a)

Shop A

b)

Shop B

62.

What type of correlation

does this scatterplot display?

a)

positive

b)

negative

c)

none

d)

all of the above

63.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

64.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99%

d)

50%

65.

What does this symbol represent?

a)

Standard Deviation

b)

Median

c)

Mean

d)

Normal Distribution

66.

The average height of women in the United States is 62 inches with a standard deviation of 2 inches. What is the height of a woman who is 1 standard deviation below the mean?

a)

56 inches

b)

58 inches

c)

60 inches

d)

64 inches

67.

The length of time it takes a pizza from Tony’s Pizza to be delivered is normally distributed with a mean of 26 minutes and a standard deviation of 8 minutes. What is the delivery time 2 standard deviations above the mean?

a)

34 minutes

b)

42 minutes

c)

50 minutes

d)

18 minutes

68.

What is the area of the rectangle?

a)

42 cm²

b)

40 cm²

c)

40 cm

d)

42 cm

69.

What is the area of the triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

70.

Find the area of the triangle.

a)

22.5 cm²

b)

45 cm²

c)

15.75 cm²

d)

31.5 cm²

71.

Find the area of the parallelogram.

a)

60 in

b)

60 in²

c)

50 in

d)

50 in²

72.

Find the area of the trapezoid.

a)

41 yd²

b)

45 yd²

c)

44 yd²

d)

43 yd²

73.

What is the area of the circle? Use the $\pi$ key and round to the nearest hundredth.

a)

21.99 in²

b)

76.97 in²

c)

153.94 in²

d)

43.97 in²

74.

Find the area of the circle. Use the $\pi$ key and round to the nearest hundredth.

a)

201.06 in²

b)

50.27 in²

c)

12.57 in²

d)

25.13 in²

75.

Find the area of the semicircle. Use the $\pi$ key and round to the nearest hundredth.

a)

56.55 cm²

b)

226.19 cm²

c)

18.85 cm²

d)

28.26 cm²

76.

Find the surface area of the prism.

a)

200 cm²

b)

250 cm²

c)

216 cm²

d)

222 cm²

77.

Find the surface area of the cylinder.

a)

296.88 cm²

b)

747.70 cm²

c)

527.79 cm²

d)

282.74 cm²

78.

Calculate the surface area of the cylinder.

a)

282.7 in²

b)

256.5 in²

c)

150.80 in²

d)

245.04 in²

79.

Calculate the surface area of the cone. Use the $\pi$ key and round to the nearest hundredth.

a)

502.65 cm²

b)

452.39 cm²

c)

226.19 cm²

d)

105.13 cm²

80.

Find the surface area of the prism.

a)

48 in²

b)

64 in²

c)

88 in²

d)

76 in²

81.

Find the surface area of the cone. Use the $\pi$ key and round your answer to the nearest hundredth.

a)

1306.27 ft²

b)

709.58 ft²

c)

499.20 ft²

d)

627.14 ft²

82.

Find the volume of the cone. Use the $\pi$ key and round your answer to the nearest hundredth.

a)

542.74 cm³

b)

1156.35 cm³

c)

2412.73 cm³

d)

1017.88 cm³

83.

Calculate the volume of the prism.

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

84.

Calculate the volume of the prism.

a)

90 cm³

b)

150 cm³

c)

180 cm³

d)

60 cm³

85.

Find the volume of the cylinder. Use the $\pi$ key and round to the nearest hundredth.

a)

282.74 in³

b)

565.48 in³

c)

188.50 in³

d)

214 in³

2023 Spring Semester Exam Review

Total questions: 85

Worksheet time: 6hrs 55mins

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