Free Printable Ava Assess :)

1.

What are the prime factors of 27?

a)

3x3x3

b)

3x2x3

c)

3x3x4

2.

Find the prime factorization of 56.

a)

2x2x2x7

b)

2x28

c)

3x3x7

3.

The prime factors of 70 are?

a)

3 x 5 x 7

b)

5 x 7 x 7

c)

2 x 5 x 7

4.

Find the prime factorization of 38.

a)

38 = 2 x 19

b)

38 = 5 x 6 x 8

c)

38 = 5 x 6 x 6

5.

Find ALL FACTORS of 24

a)

1, 2, 12, 24

b)

1, 2, 8, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 2, 3, 4, 6, 8, 12, 24

6.

Lisa is making identical flower arrangements for wedding reception. She has 32 white roses, 24 pink roses, and 16 bunches of babies breath. She wants each arrangement to have the same number of each flower. What is the greatest number of arrangements that she can make if every flower is used?

a)

6

b)

2

c)

4

d)

8

7.

What is the greatest common factor of 15 and 36?

a)

6

b)

8

c)

4

d)

3

8.

Bill cut out 6 squares and 8 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

a)

2

b)

3

c)

4

9.

Every third visitor to a museum gets a free bumper sticker. Every fifth visitor to that museum gets a free key chain. Which visitor each day will be the first one to get both the bumper sticker and the key chain?

a)

3rd

b)

5th

c)

15th

10.

There are 14 girls and 21 boys in Mrs. Andrew's gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?

a)

7 teams

b)

14 teams

c)

21 teams

d)

42 teams

11.

Find the Greatest Common Factor (GCF) of 14 & 22.

a)

1

b)

2

c)

7

d)

14

12.

Find the Greatest Common Factor (GCF) OF 32 and 64.

a)

1

b)

2

c)

4

d)

32

13.

Karen has 30 photos from a trip to Dallas and 48 photos from a trip to Austin. She wants to put all the photos in an album so that the photos from each trip are in separate sections. What is the greatest number of photos she can put on each page?

a)

18 photos

b)

6 photos

c)

240 photos

14.

What is the prime factorization of 24?

a)

3 x 8

b)

3 x 2 x 2 x 2

c)

4 x 6

d)

2 x 2 x 3

15.

1). Find the GCF of 15 and 40

a)

5

b)

120

c)

8

d)

None of these match my answer

16.

2). Find the GCF of 16 and 36

a)

144

b)

48

c)

4

d)

None of these match my answer

17.

5). Find the GCF of 39 and 26

a)

13

b)

1

c)

78

d)

None of these match my answer

18.

6). Find the GCF of 35 and 63

a)

7

b)

1

c)

175

d)

None of these match my answer

19.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

20.

Use a number tree to find the prime factorization of 42

a)

4x4x3

b)

6x7

c)

7x3x2

d)

5x4x2

21.

$\frac{2}{3}+\frac{1}{4}$

a)

$\frac{3}{7}$

b)

$\frac{11}{12}$

22.

$\frac{9}{10}-\frac{1}{5}$

a)

$\frac{7}{10}$

b)

$\frac{8}{5}$

23.

$\frac{1}{2}\times\frac{2}{3}$

a)

$\frac{1}{3}$

b)

$\frac{3}{4}$

24.

$\frac{5}{6}\times\frac{1}{5}$

a)

$\frac{6}{25}$

b)

$\frac{1}{6}$

25.

$\frac{1}{2}\div\frac{2}{3}$

a)

$\frac{2}{6}$

b)

$\frac{3}{4}$

26.

$\frac{4}{5}\div\frac{1}{5}$

a)

$\frac{4}{25}$

b)

4

27.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

28.

Find the area

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

29.

Find the area of a triangle with a height of 4 mm and a base of 6 mm?

a)

5 mm squared

b)

6 mm squared

c)

12 mm squared

d)

24 mm squared

30.

What does area mean?

a)

the distance around a shape

b)

half the distance around a shape

c)

the amount of space outside a shape

d)

the amount of space inside a shape

31.

A parallelogram has a base of 35 cm and its area is 700 cm². What is its height?

a)

20 cm

b)

24,500 cm

c)

0.05 cm

d)

2 cm

32.

To calculate the amount of carpeting needed for your bedroom, which of the following should you find:

a)

Area

b)

Perimeter

c)

Surface Area

d)

Volume

33.

Find the area

a)

41

b)

45

c)

44

d)

43

34.

Find the area.

a)

64 m

b)

72 m

c)

72 m²

d)

64 m²

35.

Determine the area of the square with a

side length of 19 meters

a)

A = 6859 meters squared

b)

A = 38 meters squared

c)

A = 19 meters squared

d)

A = 361 meters squared

36.

Area or triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

37.

Find the area of the parallelogram.

a)

12 units²

b)

10 units²

c)

13 units²

d)

6 units

38.

Find the Area:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

39.

Find the area:

a)

40 yd

b)

40 yd²

c)

80 yd²

d)

18 yd²

40.

What is the area of the parallelogram?

a)

156 in.

b)

78 square in.

c)

78 in.

d)

156 square in.

41.

What is the area?

a)

42 cm²

b)

56 cm²

c)

28 cm²

42.

The formula to find the area of a rectangle is A=bh

a)

True

b)

False

43.

What is the relationship between the area of a rectangle and the area of a triangle?

a)

The area of both are the same.

b)

The area of a triangle is one third the area of a triangle.

c)

The area of a triangle is half the area of a rectangle.

d)

There is no relationship between the areas.

44.

Round 43.827 to the nearest hundredth.

a)

43.82

b)

43.83

c)

43.87

d)

44

45.

Write the fraction and the decimal shown by the model.

a)

5/100 and 0.5

b)

5/10 and 0.05

c)

5/100 and 0.05

d)

5/10 and 0.5

46.

0.835 - 0.423

a)

0.418

b)

0.412

c)

0.512

d)

0.402

47.

If you multiply 0.73 by 2.52, how many times would you move the decimal?

a)

2

b)

3

c)

4

d)

5

48.

5 - 2.391

a)

0.609

b)

2.609

c)

2.608

d)

2.709

49.

Sarah jogged 4.8 miles each day for 22 days last month. How many miles did Sarah jog in total?

a)

110 miles

b)

105.6 miles

c)

88.16 miles

d)

26.8 miles

50.

Calculate
5.75÷0.25

a)

0.23

b)

2.3

c)

2.03

d)

23

51.

1.44 ÷ 0.4

a)

36

b)

3.6

c)

126

52.

One kilometer is about .62 mile. It is 12 kilometers from Noah's house to tthe ice skating rink. About how many miles is it from Noah's house to the ice skating rink?

a)

74.4 miles

b)

7.44 miles

c)

0.744 miles

d)

84.4 miles

53.

Jenna bought a bag of gummy bears that cost $2.74. She gave the clerk $10. How much money will she get back in change?

a)

$12.74

b)

$4.36

c)

$7.26

d)

$2.64

54.

Ms. Jones went to the store to buy things for her class. She needs to get a donut for each student. If the donuts cost $15.67 and the drinks costs $3.46, what is her total? What is the correct equation?

a)

15.67 - 3.46 = 12

b)

15.67 + 3.46 = 19.13

c)

15.67 x 3.46 = 54.22

55.

In the number below, what place value is the digit 2 in?
6.3529

a)

Tens

b)

Thousanths

c)

Hundredths

d)

Ones

56.

Mrs. Linda has 17.16 cups of brownie mix. If each brownie uses 0.33 cups of mix, how many brownies can Mrs. Linda make?

a)

52

b)

53

c)

54

d)

22

57.

Find the product of
7.13 and 5.5

a)

39.215

b)

3.9215

c)

392.15

d)

3921.5

58.

(5.9 − 5.3) × 7.2 + 1.4²

a)

6.27

b)

6.28

c)

6.29

d)

6.33

59.

7.9² + 4.2 × (6.5 − 5.7)

a)

65.77

b)

65.78

c)

65.79

d)

65.76

60.

What is the standard form of the number?

9.4\ \times\ 10^{-3}

(a)

61.

Which is the correct scientific notation for the number?

0.00027

a)

$2.7\ \times\ 10^{-4}$

b)

$2.7\ \times\ 10^4$

c)

$2.7\ \times\ 10^{-3}$

d)

$27\ \times\ 10^2$

62.

Compare the two numbers:

$3.5\ \times\ 10^3$ _________ $3.2\ \times\ 10^3$

a)

<

b)

>

c)

=

63.

Compare the two numbers:

$9.87\ \times\ 10^5$ _________ $8.1\ \times\ 10^6$

a)

<

b)

>

c)

=

64.

$7.1\ \times\ 10^{4\ },\ \ 3.29\ \times\ 10^4\ ,\ \ 5.2\ \times10^2$

True or False: The numbers are listed in descending order?

a)

True

b)

False

65.

$3.29\ \times\ 10^{4\ },\ \ 7.1\ \times\ 10^4\ ,\ \ 5.2\ \times10^2$

True or False: The numbers are listed in ascending order?

a)

True

b)

False

66.

What is the correct scientific notation for the number?

430,000

a)

$4.3\ +\ 10^5$

b)

$4.3\ \times\ 10^4$

c)

$4.3\ \times\ 10^5$

d)

$4.3\ \times\ 10^6$

67.

Compare the two numbers:

$9.87\ \times\ 10^{-5}$ _________ $8.1\ \times\ 10^{-6}$

a)

<

b)

>

c)

=

68.

$5.45\ \times\ 10^{4\ },\ \ 5.30\ \times\ 10^4\ ,\ \ 5.24\ \times10^2$

True or False: The numbers are listed in descending order?

a)

True

b)

False

69.

$6.23\ \times\ 10^{-4\ },\ \ 6.41\ \times\ 10^{-3}\ ,\ \ 6.8\ \times10^{-2}$

True or False: The numbers are listed in ascending order?

a)

True

b)

False

70.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

71.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

72.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

73.

How do you write 1001 in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

74.

How do you write 8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

75.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

76.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

77.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

78.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

79.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

80.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

81.

Write the answer in scientific notation.
(5 x 10⁸) - (3.4 x 10⁸)=

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

82.

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

83.

ANY number raised to a power of 0 will be....

a)

10

b)

itself

c)

1

d)

0

84.

Find the value of 30⁰

a)

30

b)

0

c)

1

d)

300

85.

Solve:
(8.0 x 10¹³) - (7.5 x 10¹²)

a)

1.55 x 10¹³

b)

0.5 x 10⁰

c)

7.25 x 10¹³

d)

5.0 x 10¹³

86.

Add using scientific notation.
(5.2 x 10⁷) + (3.01 x 10⁴)

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

87.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

88.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

89.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

90.

If there are 5 boys and 7 girls, write the ratio of girls to boys.

a)

5 to 7

b)

7 to 5

c)

5 to 12

d)

7 to 12

91.

Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players?

a)

10 : 3

b)

10:13

c)

3 : 10

d)

3:13

92.

What number is missing?

a)

12

b)

3

c)

11

d)

13

93.

What is B?

a)

3

b)

9

c)

2

d)

6

94.

What is C?

a)

80

b)

24

c)

96

d)

92

95.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

96.

Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of work.

a)

$60.00

b)

$20.00

c)

$40.00

d)

$10.00

97.

What are three ways to write a ratio for the amount of dogs compared to the number of cats.

a)

7:11

b)

11:7

c)

11 to 7

d)

11/7

e)

12 to 7

98.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

99.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

60

c)

18

d)

50

100.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

4/6

c)

1/3

d)

10/16

101.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

102.

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

103.

What is the ratio of triangles to squares?

a)

2:6

b)

5:6

c)

3:4

d)

4:3

104.

What is the ratio of green marbles to red marbles?

a)

3/2

b)

3/1

c)

3/3

d)

2/3

105.

What is the ratio of red circles to blue stars?

a)

3:4

b)

7/4

c)

11/4

d)

4 to 7

106.

Complete the ratio table.

a)

6

b)

8

c)

9

d)

5

107.

Complete the ratio table.

a)

2

b)

4

c)

0

d)

1

108.

Complete the ratio table.

a)

6 & 15

b)

4 & 12

c)

3 & 8

d)

6 & 18

109.

Complete the ratio table.

a)

9 & 12

b)

8 & 10

c)

6 & 8

d)

4 & 6

110.

Write 14/20 as a percent.

a)

14.2%

b)

70%

c)

75%

d)

56%

111.

Write .506 as a percent.

a)

5.06%

b)

506%

c)

50.6%

d)

500.6%

112.

What is 20% of 75?

a)

15

b)

60

c)

6

d)

1.5

113.

Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?

a)

$1.40

b)

$6

c)

$0.60

d)

$14

114.

200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?

a)

800

b)

180

c)

80

d)

120

115.

What is 125% of 84 ? Solve using the percent equation.

a)

105

b)

188.5

c)

473.4

d)

356.7

116.

A Chicago Cubs baseball cap costs $30. Michael has a coupon that will save him 30% of the price. How much money will Michael pay for the cap?

a)

$9.00

b)

$22.00

c)

$21.36

d)

$21.00

117.

Write 230% as a decimal.

a)

23

b)

2.3

c)

230

d)

.23

118.

What is 2/5 as a percent?

a)

40%

b)

.40

c)

25%

d)

50%

119.

Tom saves 50% of his paycheck. If his pay is $148, how much will he save?

a)

$148

b)

$70

c)

$50

d)

$74

120.

Convert 6% to a decimal

a)

.06

b)

.6

c)

6.0

d)

60

121.

What fraction is equivalent to 25%?

a)

1/2

b)

1/5

c)

1/4

d)

3/4

122.

What is 150% of $20?

a)

$20

b)

$30

c)

$40

d)

$150

123.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

124.

Estimate √18 to the nearest integer

a)

6

b)

4

c)

3

d)

5

125.

Estimate √87 to the nearest tenth.

a)

9.8

b)

9

c)

9.3

d)

10

126.

Estimate √63 to the nearest tenth

a)

7.1

b)

7.3

c)

7.5

d)

7.9

127.

The √77 is between what two integers?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

128.

Estimate √28 to the nearest tenth

a)

5.6

b)

5.9

c)

5.3

d)

8

129.

Estimate √80 to the nearest tenth

a)

40

b)

8.9

c)

8.1

d)

7.9

130.

Estimate √119 to the nearest integer

a)

11

b)

12

c)

13

d)

10

131.

Estimate √91 to the nearest tenth

a)

9.1

b)

9.5

c)

8.9

d)

45

132.

Estimate √6 to the nearest tenth

a)

2.4

b)

3

c)

12

d)

4.9

133.

Simplify: -4 + 9

a)

5

b)

-5

c)

13

d)

-13

134.

When you add two negatives, your answer will always be _________.

a)

Positive

b)

Negative

c)

Can't be determined.

135.

What is -4 + 3

(a)

136.

What is 2 + (-7)

(a)

137.

What do we call a number less than zero?

a)

integer

b)

negative number

c)

whole number

d)

positive integer

138.

Add (-9) and (-1)

a)

-9

b)

+10

c)

-8

d)

-10

139.

Savaya has $50 in her bank account. She buys AirPods for $150. How much money does she owe?

a)

$100

b)

$200

c)

150

d)

250

140.

Addison had -$25 in her bank account. She deposited $100. How much is in her bank account now?

a)

$25

b)

$100

c)

$75

d)

$50

141.

What is the absolute value of |-5|?

a)

-5

b)

5

142.

The currency (or money) used in Animal Crossing is "bells". If Gage has 1,000 bells and spends $1,500 bells on wands., how many "bells" will Gage have?

a)

2,500

b)

500

c)

-500

d)

-2,500

143.

Today we are learning how to . . . (check all that apply)

a)

add integers

b)

subtract integers

c)

multiply integers

d)

divide integers

144.

What are we learning today? [hint: it has something to do with integers]

4 lines

145.

If I have two negatives what will the product be?

a)

Negative

b)

Positive

146.

If I have two positives what will the quotient be?

a)

Negative

b)

Positive

147.

When multiplying and dividing integers, same sign, the answer is positive. Please check ALL that are true.

a)

8\cdot2=positive

b)

$8\cdot\left(-2\right)=positive$

c)

$\frac{\left(-8\right)}{\left(2\right)}=positive$

d)

$\frac{\left(-8\right)}{\left(-2\right)}=positive$

e)

same signs, the answer is positive

148.

Same sign, the answer is positive. 8 x 2=?

(a)

149.

$\frac{\left(-50\right)}{\left(-5\right)}$

a)

-10

b)

10

150.

Choose a number to make the product positive:

(-2)(?)=positive

7 -7 2 -2 0

(a)

151.

When multiplying or dividing integers: Different signs, the answer is negative.

a)

positive

b)

negative

152.

When multiplying or dividing integers: Different signs, the answer is (a) . (positive or negative)

153.

For example, what is the product for (-2)(6)

(a)

154.

30\div\left(-1\right)

a)

30

b)

-30

155.

$\left(-3\right)\cdot\left(??\right)=negative$
Choose from the following:
7 (-2) (-7) 2 0

(a)

156.

$9\div\left(??\right)=negative$
Choose from the following:
9 (-1) (-9) 1 0

(a)

157.

$13\ =s-21$

What is s?

a)

s = 34

b)

s = -8

c)

$s=\frac{13}{21}$

d)

s = 0

158.

$4z=36$

What should you do first to figure out what "z" is?

a)

Subtract 4 from both sides.

b)

Divide both sides by 4.

c)

Multiply both sides by 4.

d)

Add -36 to both sides.

159.

What grade would you like to earn in Algebra this quarter?

4 lines

160.

$5+w=17$

What is w?

a)

w = 17

b)

w = 22

c)

w = 5-17

d)

w = 12

161.

$-14=r-11$

What is a good first step to solving this equation?

a)

Add 14 to both sides.

b)

Subtract 11 from both sides.

c)

Add 11 to both sides.

d)

Subtract 14 from both sides.

162.

$10u\ -\ 21=3u$

What does u =

a)

u = -21

b)

u = 3

c)

$u=\frac{10}{21}$

d)

u = 0

163.

$\frac{x-7}{4}=-2$

What steps would solve this equation?

a)

Multiply both sides by 4, then add 7 to both sides.

b)

Divide both sides by -2, then add 7 to both sides.

c)

Add 7 to both sides then multiply both sides by 4.

d)

Divide both sides by 4 then subtract 7 from both sides.

164.

$9=\frac{r}{8}$

What is r?

a)

$r=\frac{9}{8}$

b)

$r=\frac{1}{64}$

c)

r = 72

d)

9r = 8

165.

$7n=42$

What is n?

a)

n=294

b)

n=35

c)

n=7

d)

n=6

166.

$9-2x=35$

What is x?

a)

x=22

b)

x=-13

c)

$x=\frac{35}{9}$

d)

x=-4

167.

$10=y-12$

What does y=?

a)

y=-2

b)

y=2

c)

y=120

d)

y=22

168.

$19=t+2$

What is a good first step to solve this equation?

a)

Subtract 2 from both sides.

b)

Add 2 to both sides.

c)

Subtract 19 from both sides

d)

Add 19 to both sides.

Ava Assess :)

Total questions: 168

Worksheet time: 6hrs 54mins

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