Free Printable G7 Fourth Quarter Exam

1.

Which figure shows one point?

a)

b)

c)

d)

2.

Which name describes the line?

a)

$\overrightarrow{DG}$

b)

$\overrightarrow{CG}$

c)

$\overline{KG}$

d)

$\overleftarrow{F}\overrightarrow{C}$

3.

The floors in an apartment building belong to different _____.

a)

rays

b)

segments

c)

planes

d)

points

4.

Use the diagram.

$\overleftarrow{B}\overrightarrow{A}\ and\ \overleftarrow{D}\overrightarrow{E}\ \$

a)

will intersect

b)

are parallel

c)

have point C in common

d)

are skew

5.

Find the measure of ∠AEB for m∠BEC = 127^o.

a)

127^o

b)

254^o

c)

106^o

d)

53^o

6.

Find the measure of ∠AED for m∠BEC = 96^o.

a)

84^o

b)

168^o

c)

192^o

d)

96^o

7.

Name two angles adjacent to ∠AOC.

a)

$\angle AOB\ \ and\ \ \angle BOC$

b)

$\angle COD\ \ and\ \ \angle DOE$

c)

$\angle COD\ \ and\ \ \angle AOE$

d)

$\angle DOE\ \ and\ \ \angle BOC$

8.

In the diagram a||b. Name the corresponding angle to ∠5.

(Diagram not to scale.)

a)

$\angle\ 2$

b)

$\angle\ 4$

c)

$\angle\ 8$

d)

$\angle\ 1$

9.

In the diagram a||b. Name the alternate interior angle to ∠ 7.

(Diagram not to scale.)

a)

$\angle\ 1$

b)

$\angle\ 2$

c)

$\angle\ 6$

d)

$\angle\ 4$

10.

In the diagram a||b. If $m∠6=21^o$ , what is m∠4?

(Diagram not to scale.)

a)

$21^o$

b)

$10.5^o$

c)

$159^o$

d)

$339^o$

11.

In the diagram a||b. If m∠4 = (3x)^oand m∠8 = (x + 40)^o,what is the measure of ∠4?

a)

20^o

b)

60^o

c)

40^o

d)

120^o

12.

In the figure, $\overleftarrow{A}\overrightarrow{B}\parallel\ \overleftarrow{C}\overrightarrow{D}$ . Find the measure of $\angle GEB.$

a)

$40^o$

b)

$110^o$

c)

$50^o$

d)

$90^o$

13.

Classify the triangle by its sides and angles.

a)

equilateral-acute triangle

b)

scalene-right triangle

c)

equilateral-right triangle

d)

isosceles-acute triangle

14.

Classify the triangle with sides of length 6 inches, 8 inches, and 3 inches.

a)

equilateral triangle

b)

isosceles triangle

c)

straight triangle

d)

scalene triangle

15.

Classify the triangle with angles measuring 113^o, 47^o, and 20^o.

a)

right

b)

straight

c)

obtuse

d)

acute

16.

Name all the quadrilaterals that have the given property.

"two pairs of parallel sides and all angles congruent"

a)

trapezoid

b)

rectangle, square

c)

rhombus, square

d)

rhombus

17.

Name all the quadrilaterals that have the given property.

"four congruent sides and four congruent angles"

a)

square

b)

rectangle, square

c)

rhombus, square

d)

rhombus

18.

David designs floor tiles. Hos latest design is shaped as a regular pentagon. Write the formula for the perimeter of the tile in terms of the length of a side. Evaluate the formula for the side length of 3.

a)

P = 5s; 15 inches

b)

P = 5 + s; 8 inches

c)

P = 5 + s; 9 inches

d)

P = 5s; 18 inches

19.

Four points are placed on a circle. How many segments will it take to connect each point to every other point?

a)

3 segments

b)

4 segments

c)

6 segments

d)

8 segements

20.

Draw a rectangle that is 4 centimeters by 8 centimeters. Connect two opposite vertices to form two triangles of the same size and shape within the rectangle. Classify the triangles by sides and angles.

a)

scalene-right triangle

b)

scalene-acute triangle

c)

isosceles-right triangle

d)

isosceles-acute triangle

21.

In the figures, ∆CDA ≅ ∆XYZ. Name the congruent angles.

a)

∠C ≅ ∠Y, ∠D ≅ ∠X, ∠A ≅ ∠Z

b)

∠C ≅ ∠D, ∠A ≅ ∠X, ∠Y ≅ ∠Z

c)

∠C ≅ ∠X, ∠D ≅ ∠Y, ∠A ≅ ∠Z

d)

∠C ≅ ∠Z, ∠D ≅ ∠Y, ∠A ≅ ∠X

22.

In the figures, ∆CDA ≅ ∆XYZ. Name the congruent sides.

a)

$\overline{CD}\cong\overline{XY},\ \ \ \overline{DA}\ \cong\ \overline{ZX},\ \ \ \overline{AC}\ \cong\overline{YZ}$

b)

$\overline{CD}\cong\overline{XY},\ \ \ \overline{DA}\ \cong\ \overline{YZ},\ \ \ \overline{AC}\ \cong\overline{ZX}$

c)

$\overline{CD}\cong\overline{XY},\ \ \ \overline{DA}\ \cong\ \overline{ZX},\ \ \ \overline{AC}\ \cong\overline{XY}$

d)

$\overline{CD}\cong\overline{DA},\ \ \ \overline{AC}\ \cong\ \overline{XY},\ \ \ \overline{YZ}\ \cong\overline{ZX}$

23.

In the figures, ∆CDA ≅ ∆XYZ. If $\overline{CD}\ =\ 26\ mm$ , what is $\overline{XY}?$

a)

28 mm

b)

25 mm

c)

4 mm

d)

26 mm

24.

Write a congruence statement for the pair of triangles.

a)

∆FZM ≅ ∆NPO by ASA

b)

∆FZM ≅ ∆NPO by SAS

c)

∆FZM ≅ ∆PNO by SAS

d)

∆FZM ≅ ∆PON by ASA

25.

Write a congruence statement for the pair of triangles.

a)

∆ZYB ≅ ∆OWR by SAS

b)

∆ZYB ≅ ∆WOR by SSS

c)

∆ZYB ≅ ∆OWR by SSS

d)

∆YZB ≅ ∆OWR by SAS

26.

The diagram shows the dimensions of a triangular garden at the park. If another triangular garden is congruent to this triangle, what is the perimeter of the other garden?

a)

84 feet

b)

51 feet

c)

88 feet

d)

129 feet

27.

Find the circumference of the circle. Use π ≈ 3.14

a)

21.98 cm

b)

38 cm

c)

7 cm

d)

3.5 cm

28.

Find the circumference of the circle. Use π ≈ 3.14.

a)

3 cm

b)

18.84 cm

c)

6 cm

d)

28.26 cm

29.

Find the circumference of the circle with the given radius Use π ≈ 3.14.

radius = 30 cm

a)

188.4 cm

b)

94.2 cm

c)

2,826 cm

d)

11,304 cm

30.

Find the circumference of the circle with the given radius Use π ≈ 3.14.

diameter = 10 cm

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

31.

Find the area of the rectangle.

a)

44 ft²

b)

64 ft²

c)

196 ft²

d)

112 ft²

32.

The length of a rectangular room is 7.9 m and its width is 8.6 m. Find the area of the room.

a)

73.96 m²

b)

62.41 m²

c)

67.94 m²

d)

33 m²

33.

Find the area of the parallelogram

a)

60 cm²

b)

216 cm²

c)

108 cm²

d)

72 cm²

34.

Find the area of the parallelogram

a)

15.34 mi²

b)

24 mi²

c)

35.99 mi²

d)

15.86 mi²

35.

Find the area of the triangle.

a)

24 yd²

b)

12 yd²

c)

26 yd²

d)

36 yd²

36.

Find the area of the triangle.

a)

27 in²

b)

13.5 in²

c)

28.5 in²

d)

14.25 in²

37.

The diagram shows the dimensions of the front of a storage building. What is the area of the entire front of the building?

a)

25 ft²

b)

20 ft²

c)

22.5 ft²

d)

2.5 ft²

38.

Uma is planning to decorate a blanket with this triangular shape. She plans to cut out 68 triangles with these dimensions. What will be the total area of the triangles?

a)

2,380 cm²

b)

35 cm²

c)

17.5 cm²

d)

1.190 cm²

39.

Find the area of the trapezoid.

a)

675 ft²

b)

337.5 ft²

c)

187.5 ft²

d)

150 ft²

40.

Find the area of the trapezoid.

a)

92.43 yd²

b)

219.96 yd²

c)

127.53 yd²

d)

439.92 yd²

41.

Find the exact area of the circle.

a)

25π in²

b)

201π in²

c)

50π in²

d)

64π in²

42.

Find the area of the circle. Use 3.14 for π.

a)

7.065 in²

b)

9.42 in²

c)

28.26 in²

d)

4.71 in²

43.

Find the area of a circle with a radius of 8.1 m to the nearest square unit.

a)

66 m²

b)

824 m²

c)

206 m²

d)

51 m²

44.

The diagram shows a square of side 3 in. containing a circle of diameter 3 in. To the nearest hundredth, what is the area of the shaded part of the figure? Use 3.14 for π.

a)

0.48 in²

b)

1.93 in²

c)

4.03 in²

d)

4.82 in²

45.

Find the area of the figure to the nearest square unit.

a)

74 cm²

b)

49 cm²

c)

37 cm²

d)

125 cm²

46.

A number cube was rolled 18 times. The results are shown. Display the data in a frequency table.

a)

b)

c)

d)

47.

Use the frequency table to determine how many students received a score of 60 or better on a Math exam.

a)

8 students

b)

9 students

c)

14 students

d)

22 students

48.

Which describes independent events?

a)

You grab two jelly beans from a jar at the same time.

b)

You draw a card from a deck, replace it, and draw a second.

c)

You draw a card and do not replace it. Then you draw another.

d)

You study English every night, and then you get an A on the next test.

49.

A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?

a)

$\frac{3}{5}$

b)

$\frac{7}{20}$

c)

$\frac{3}{25}$

d)

$\frac{7}{100}$

50.

Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue?

a)

$\frac{2}{51}$

b)

$\frac{3}{20}$

c)

$\frac{1}{10}$

d)

$\frac{4}{153}$

51.

Find the probability that 3 students chosen at random were all born on a Wednesday.

a)

$\frac{3}{343}$

b)

$\frac{1}{343}$

c)

$\frac{1}{27}$

d)

$\frac{1}{21}$

52.

A bag contains 6 purple marbles and 7 white marbles. One marble is drawn at random and not replaced. Then a second marble is drawn at random. What is the probability that the first marble is white and the second one is purple?

a)

$\frac{1}{12}$

b)

$\frac{42}{169}$

c)

$\frac{7}{26}$

d)

$\frac{13}{25}$

53.

You select a card at random. Without replacing the card, you select a second card. Find the probability.

$P\left(M,\ then\ H\right)$

a)

$\frac{3}{11}$

b)

$\frac{2}{21}$

c)

$\frac{1}{55}$

d)

$\frac{2}{121}$

54.

You select a card at random. Without replacing the card, you select a second card. Find the probability.

$P\left(T,\ then\ a\ vowel\right)$

a)

$\frac{3}{55}$

b)

$\frac{8}{121}$

c)

$\frac{6}{121}$

d)

$\frac{4}{55}$

55.

In how many different ways can you arrange 7 books on a shelf?

a)

823,543 ways

b)

5,040 ways

c)

720 ways

d)

28 ways

56.

There are 4 children in Maria’s family. In how many ways can you list the children in all possible orders?

a)

6 ways

b)

24 ways

c)

10 ways

d)

256 ways

57.

How many permutations can be made using the letters

$S,\ T,\ U,\ D,\ Y,\ H,\ A,\ R,\ D?$

a)

1 permutation

b)

362,880 permutations

c)

9 permutations

d)

456,225 permutations

58.

How many 3-letter permutations are possible for the letters

$S,\ T,\ U,\ D,\ Y,\ H,\ A,\ R,\ D?$

a)

72

b)

729

c)

84

d)

504

59.

Simplify the expression.

$_4P_3$

a)

120

b)

24

c)

6

d)

12

60.

Simplify the expression.

$_{12}P_5$

a)

11,880

b)

95,040

c)

1,235,420

d)

792

61.

Simplify the expression.

$_6C_3$

a)

120

b)

20

c)

15

d)

40

62.

Simplify the expression.

$_{10}C_4$

a)

14

b)

40

c)

210

d)

5,040

63.

In how many ways could you choose two different letters from the letters M, A, T, H?

a)

12 ways

b)

24 ways

c)

6 ways

d)

18 ways

64.

In how many ways could you choose two different letters from the letters C, O, U, N, T?

a)

60 ways

b)

20 ways

c)

120 ways

d)

10 ways

65.

Does the problem involve permutations or combinations? Explain.

In how many different ways could a committee of 5 students be chosen from a class of 25 students?

a)

Permutations; the order matters.

b)

Permutations; the order does not matter.

c)

Combinations; the order does not matter.

d)

Combinations; the order matters.

66.

Does the problem involve permutations or combinations? Explain.

In how many ways could six horses come in first, second, or third in a race?

a)

Permutations; the order matters.

b)

Permutations; the order does not matter.

c)

Combinations; the order does not matter.

d)

Combinations; the order matters.

67.

In your last 23 basketball games, you attempted 100 free throws and made 66. Find the experimental probability that you make a free throw. Write the probability as a percent, to the nearest tenth of a percent.

a)

66%

b)

23%

c)

34.8%

d)

89%

68.

The results of a coin toss are shown. What is P(heads)?

$H\ T\ H\ H\ H\ T\ H\ T\ T\ H\ H\ T\ H\ T\ T$

T\ H\ H\ T\ H\ T\ T\ H\ H\ H\ H\ T\ H\ T\ T

a)

$\frac{8}{15}$

b)

$\frac{3}{5}$

c)

$\frac{7}{15}$

d)

$\frac{1}{2}$

69.

A spinner with three congruent sections is spun with the results as shown. What is P(1)?

$1\ 3\ 3\ 2\ 1\ 2\ 1\ 1\ 3\ 3\ 2\ 1\ 1\ 1\ 2\ 2\ 2\ 3\ 3\ 1\ 3$

a)

$\frac{1}{3}$

b)

$\frac{8}{21}$

c)

$\frac{13}{21}$

d)

$\frac{3}{7}$

70.

Combine like terms.

$\left(7y^2\ -\ 3y\right)+\left(8y^2\ -\ 8y\right)$

a)

$-y^2\ +\ 5y$

b)

$15y^2\ -\ 11y$

c)

$y^2\ +\ 5y$

d)

$y^2\ -\ 5y$

71.

Combine like terms.

$\left(-7a^2\ +\ 7a\ -\ 2\right)+\left(8a^2\ -2a\ -\ 3\right)$

a)

$15a^2\ -\ 9a\ -1$

b)

$a^2\ +\ 5a\ -\ 5$

c)

$-15a^2\ +\ 9a\ +\ 1$

d)

$-9a^2\ +\ 15a\ +\ 6$

72.

Combine similar terms.

(-6a² + 3a + 7) + (8a² - 7a + 5)

a)

14a² - 10a - 2

b)

2a² - 4a + 12

c)

-13a² +11a +35

d)

-14a² + 10a + 2

73.

Combine similar terms.

(9x + 9c) + (-7x - 5c)

a)

-14x + 2c

b)

-16x - 14c

c)

2x + 4c

d)

16x + 14c

74.

Subtract the expression.

(−3y² − 7y − 9) − (4y² + 6y + 9)

a)

y² − y

b)

−9y² − 11y − 18

c)

7y² + 13y + 18

d)

−7y² − 13y − 18

75.

Find the difference.

(y + 3d) − (−9y + 7d)

a)

−10y + 4d

b)

−8y + 10d

c)

8y − 6d

d)

10y − 4d

76.

A playground is (4x + 4) feet wide and 6x feet long. Find the area of the playground.

a)

(−-2x + 4) ft²

b)

(10x² + 4x) ft²

c)

(20x + 8) ft²

d)

(24x² + 24x) ft²

77.

Simplify the product.

5b(6b − 10)

a)

11b − 10

b)

5b² + 6b − 10

c)

−b − 10

d)

30b² − 50b

78.

Find the product.

−5x(−6x² + 6x + 4)

a)

−5x² − 11x + 4

b)

30x³ + 6x + 4

c)

−5x² + x + 4

d)

30x³ − 30x² − 20x

79.

Is the polynomial a monomial, a binomial, or a trinomial?

−3x² − 5x − 2

a)

binomial

b)

trinomial

c)

monomial

80.

Is the polynomial a monomial, a binomial, or a trinomial?

pq⁴ − 3

a)

binomial

b)

trinomial

c)

monomial

81.

Simplify each expression.

$8^{-2}$

a)

$-16$

b)

$-\frac{1}{16}$

c)

$64$

d)

$\frac{1}{64}$

82.

Simplify each expression.

$\frac{\left(-3\right)^6}{\left(-3\right)^8}$

a)

$9$

b)

$\frac{1}{9}$

c)

$\left(-3\right)^{14}$

d)

$-\frac{1}{9}$

83.

Complete the equation

a)

-8

b)

-12

c)

8

d)

12

84.

Complete the equation

a)

$-7$

b)

$7$

c)

$\frac{1}{7}$

d)

$1.7$

85.

Simplify the expression.

(−7x³) (4x)

a)

− 11x⁴

b)

− 3x³

c)

− 28x⁴

d)

− 28x³

86.

Write the expression using a single exponent.

5³⋅ 5^t

a)

$5^{3-t}$

b)

$5^{3+t}$

c)

$5^{3t}$

d)

$5^{\frac{3}{t}}$

87.

Write the expression using a single exponent.

$c^2d\ \cdot\ cd^3$

a)

$c^3d^4$

b)

$c^2d^3$

c)

$\left(cd\right)^7$

d)

$c^2d^4$

88.

Find the sum of the measure of the interior angles of the pentagon.

a)

180^o

b)

720^o

c)

360⁰

d)

540^o

89.

Find the measure of the complement of 77^o.

a)

13^o

b)

103^o

c)

77^o

d)

113^o

90.

Ang angle has a measure of 32^o. Find the measure of its supplement.

a)

32^o

b)

58^o

c)

148^o

d)

13^o

91.

Name a pair of vertical angles.

a)

∠1 and ∠3

b)

∠ 1 and ∠2

c)

∠2 and ∠4

d)

∠3 and ∠1

92.

In the diagram, m∠5 = 63^o. Find the measure of ∠2.

a)

24^o

b)

36^o

c)

63^o

d)

27^o

93.

five angles of the hexagon of a hexagon measure 128^o, 190^o, 112^o, 154^o, and 90^o. Find the measure of the missing angle.

a)

46^o

b)

406^o

c)

74^o

d)

120^o

94.

Simplify the expression.

5!

a)

27

b)

5

c)

15

d)

120

95.

Write an algebraic expression for the model.

a)

$2x^2\ -\ x\ +\ 3$

b)

$2x^2\ +\ x\ -\ 3$

c)

$-2x^2\ -\ x\ +\ 3$

d)

$2x^2\ +\ x\ +\ 3$

96.

Write and simplify the polynomial represented by this model.

a)

$x^2\ -\ 2x\ +\ x\ +\ 5$

b)

$x^2\ -\ x\ +\ 5$

c)

$x^2\ +\ x\ -\ 5$

d)

$x^2\ +\ x\ +\ 5$

97.

Write and simplify the polynomial represented by this model.

a)

$2x^2\ +\ 2x\ +\ 7$

b)

$2x^2\ +\ 2x\ -\ 7$

c)

$2x^2\ -\ 2x\ -\ 7$

d)

$2x^2\ -\ 2x\ +\ 7$

98.

Simplify this polynomial.

$x^{2\ }+\ 3x\ +\ x^2\ +\ 1\ +\ 2x$

a)

$2x^{2\ }+\ x\ +\ 1$

b)

$x^{2\ }+\ 5x\ +\ 1$

c)

$x^{4\ }+\ 5x^2\ +\ 1$

d)

$2x^{2\ }+\ 5x\ +\ 1$

99.

Simplify this polynomial.

$-2\ -\ 2x\ -\ 2x^2\ +3x+3+3x^2$

a)

$x^{2\ }+\ x\ +1$

b)

$x^2+5x+5$

c)

$5x^2-5x+5$

d)

$x^2-x+1$

100.

Simplify this polynomial.

$7x-x^2-5x+3x^2$

a)

$2x^{2\ }-2x$

b)

$2x^2+2x$

c)

$4x^2+2x$

d)

$12x^2-4x$

G7 Fourth Quarter Exam

Total questions: 100

Worksheet time: 50mins

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