Quiz about 6th Grade Math Year in Review

Question 1

What is the quotient of $$\frac{ ext{3}}{ ext{4}}$$ and $$\frac{5}{6}$$ ? Simplify your answer.

Accepted Answer

9/10

Answer

2/3

Answer

7/8

Answer

1/2

Question 2

What is the quotient of 15,048 and 76?

Accepted Answer

198

Answer

200

Answer

190

Answer

205

Question 3

Manuel spent $4.56 on a sandwich and $2.98 on a drink. How much did he spend in all? If he paid with a $10 bill, how much change did he get?

Accepted Answer

$4.56 + $2.98 = $7.54 spent in total. $10 - $7.54 = $2.46 change.

Answer

$4.56 + $2.98 = $7.54 spent in total. $10 - $7.54 = $1.46 change.

Answer

$4.56 + $2.98 = $7.54 spent in total. $10 - $7.54 = $3.46 change.

Answer

$4.56 + $2.98 = $8.54 spent in total. $10 - $8.54 = $1.46 change.

Question 4

Grapes cost $1.68 a pound. If you buy 2.5 pounds, how much will it cost?

Accepted Answer

$4.20

Answer

$3.50

Answer

$5.80

Answer

$2.10

Question 5

Jacob spent $15.30 on 6 candy bars. If each candy bar cost the same amount, how much does one candy bar cost?

Accepted Answer

$2.55

Answer

$3.00

Answer

$2.25

Answer

$1.50

Question 6

What is the GCF of 36 and 54?

Accepted Answer

18

Answer

45

Answer

27

Answer

12

Question 7

What is the LCM of 16 and 24?

Accepted Answer

48

Answer

56

Answer

40

Answer

32

Question 8

Compare each pair of numbers using <, > or =. -0.5 ___ $$-\frac{1}{2}$$

Accepted Answer

=

Answer

<

Answer

>

Question 9

Compare each pair of numbers using <, > or =. -0.3 ___ -0.2

Accepted Answer

<

Answer

>

Answer

=

Question 10

Compare each pair of numbers using <, > or =. 0.1 ___ -0.1

Accepted Answer

>

Answer

<

Answer

=

Question 11

Compare each pair of numbers using <, > or =. $$-\frac{4}{10}$$ ___ $$-\frac{4}{8}$$

Accepted Answer

>

Answer

<

Answer

=

Question 12

Compare each pair of numbers using <, > or =. $$-\frac{3}{7}$$ ___ $$-\frac{2}{5}$$

Accepted Answer

<

Answer

=

Answer

>

Question 13

Compare each pair of numbers using <, > or =. 0.5 ___ -0.4

Accepted Answer

>

Answer

<

Answer

=

Question 14

What is (-9,8) reflected over the x-axis?

Accepted Answer

(-9,-8)

Answer

(9,8)

Answer

(9,-8)

Answer

(-9,8)

Question 15

What is (-1,-3) reflected over the x-axis?

Accepted Answer

(-1, 3)

Answer

(-1, -3)

Answer

(3, -1)

Answer

(1, -3)

Question 16

What is (-10,10) reflected over the y-axis?

Accepted Answer

(10,10)

Answer

(-10,10)

Answer

(-10,-10)

Answer

(10,-10)

Question 17

What is (2,3) reflected over the y-axis?

Accepted Answer

(-2,3)

Answer

(3,-2)

Answer

(-3,2)

Answer

(2,-3)

Question 18

A seagull is flying 12 feet above the surface of the ocean. A dolphin is swimming 3 feet below the surface of the ocean. Which is closest to the surface of the ocean?

Accepted Answer

Dolphin

Answer

Whale

Answer

Seagull

Answer

Shark

Question 19

Compare each pair of numbers using <, > or =. -5 ___ 5

Accepted Answer

<

Answer

=

Answer

>

Question 20

Compare each pair of numbers using <, > or =. -3 ___ -1

Accepted Answer

<

Answer

=

Answer

>

Question 21

Compare each pair of numbers using <, > or =. -6 ___ -8

Accepted Answer

>

Answer

<

Answer

=

Question 22

Compare each pair of numbers using <, > or =. -22 ___ -25

Accepted Answer

>

Answer

<

Answer

=

Question 23

Compare each pair of numbers using <, > or =. -32 ___ -31

Accepted Answer

<

Answer

=

Answer

>

Question 24

Compare each pair of numbers using <, > or =. -8 ___ -80

Accepted Answer

>

Answer

<

Answer

=

Question 25

Which coordinate pair is in Quadrant III?

Accepted Answer

(-6, -5)

Answer

(9, 10)

Answer

(-2, 3)

Answer

(4,-7)

Question 26

At summer camp, each cabin has 2 counselors and 15 campers. Which is the correct ratio of counselors to campers?

Accepted Answer

4:30

Answer

2:10

Answer

3:15

Answer

1:5

Question 27

At summer camp, each cabin has 2 counselors and 15 campers. Write the ratio of campers to counselors in 3 different ways.

Accepted Answer

15:2, 15/2, 7.5 to 1

Answer

2:15, 2/15, 1 to 7.5

Answer

15:2, 7.5/1, 15 to 2

Answer

7.5:1, 15/2, 15 to 2

Question 28

At summer camp, each cabin has 2 counselors and 15 campers. Which is the correct ratio of campers to total people in the cabin?

Accepted Answer

15:17

Answer

$$\frac{2}{17}$$

Answer

12 to 17

Answer

2:15

Question 29

Max is mixing pink paint. The ratio of red paint to white paint is 4:1. If Max has 12 cups of red paint, how much white paint will he need?

Accepted Answer

3 cups

Answer

4 cups

Answer

6 cups

Answer

12 cups

Question 30

What are the value of a, b and c in the table below for Dogs and Cats?

Accepted Answer

a = 50, b = 6, c = 33

Answer

a = 15, b = 6, c = 33

Answer

a = 3, b = 5, c = 7

Answer

a = 5, b = 8, c = 33

Question 31

The ratio of daisies to roses in the garden is 2:7. If there are 117 flowers total, how many daisies are there? How many roses are there?

Accepted Answer

There are 26 daisies and 91 roses.

Answer

There are 40 daisies and 77 roses.

Answer

There are 20 daisies and 97 roses.

Answer

There are 30 daisies and 87 roses.

Question 32

Grocery Mart has juice boxes on sale 18 for $4.32. Food Shoppe has juice boxes on sale 20 for $4.60. Which store has the better buy?

Accepted Answer

Food Shoppe

Answer

Grocery Mart

Answer

Both are the same

Answer

Cannot determine

Question 33

Joey collects 100 seashells. 45% of them are pink. How many shells are pink?

Accepted Answer

45

Answer

55

Answer

40

Answer

50

Question 34

Joey collects 100 seashells. 45% of them are pink. How many are not pink?

Accepted Answer

55

Answer

45

Answer

50

Answer

60

Question 35

What is 45% as a fraction in simplest form?

Accepted Answer

$$\frac{9}{20}$$

Answer

$$\frac{11}{25}$$

Answer

$$\frac{7}{15}$$

Answer

$$\frac{13}{30}$$

Question 36

What is 45% as a decimal?

Accepted Answer

0.45

Answer

0.67

Answer

0.35

Answer

0.54

Question 37

There are 120 students in the 6th grade class. About 56% of them take band. How many students take band? Round your answer to the nearest whole number.

Accepted Answer

68

Answer

67

Answer

69

Answer

70

Question 38

Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip. If 56 of the cookies are chocolate chip, how many cookies did she bake in all?

Accepted Answer

160

Answer

120

Answer

200

Answer

240

Question 39

Find the area of the figure:

Accepted Answer

43.4 square units

Answer

13.2 square units

Answer

63.2 square units

Answer

40.2 square units

Question 40

Find the area of the figure:

Accepted Answer

135 square units

Answer

120 square units

Answer

80 square units

Answer

125 square units

Question 41

Find the area of the figure:

Accepted Answer

122.5 square meters

Answer

155.3 square meters

Answer

140 square meters

Answer

105 square meters

Question 42

Find the area of the figure:

Accepted Answer

350 square meters

Answer

175 square meters

Answer

300 square meters

Answer

250 square meters

Question 43

Find the volume of the figure:

Accepted Answer

420 cubic meters

Answer

700 cubic meters

Answer

600 cubic meters

Answer

450 cubic meters

Question 44

Find the volume of the figure (round to the nearest hundredth):

Accepted Answer

3.94 cubic meters

Answer

3.93 cubic meters

Answer

3.53 cubic meters

Answer

3.65 cubic meters

Question 45

Find the distance between (3,6) and (3,13).

Accepted Answer

7

Answer

4

Answer

10

Answer

2

Question 46

Find the surface area of this figure.

Accepted Answer

352 square meters

Answer

768 square meters

Answer

384 square meters

Answer

176 square meters

Question 47

Find the surface area of the figure.

Accepted Answer

276 square feet

Answer

112 square feet

Answer

176 square feet

Answer

198 square feet

Question 48

Find the surface area of the square pyramid.

Accepted Answer

825 square meters

Answer

768 square meters

Answer

528 square meters

Answer

1115 square meters

Question 49

Evaluate: $$\left(6-3 ight)^3-3+4 imes5$$

Accepted Answer

44

Answer

35

Answer

27

Answer

52

Question 50

Which of these algebraic expressions has at least 3 terms, with variables x and y, with coefficients -3 and 5 and a constant of 4.

Accepted Answer

-3x + 5y + 4

Answer

-3x - 5y + 4

Answer

3x + 5y + 4

Answer

-3x + 5y - 4

Question 51

Write an algebraic expression:
Four more than a number g

Accepted Answer

g + 4

Answer

g - 4

Answer

4 - g

Answer

g * 4

Question 52

Write an algebraic expression:
A number, g, splits into 5 equal groups.

Accepted Answer

$$\frac{g}{5}$$

Answer

$$\frac{5}{g}$$

Answer

g-5

Answer

$$g\cdot5$$

Question 53

Write an algebraic expression:
The product of $$\frac{1}{2}$$ and a number, g.

Accepted Answer

$$\frac{1}{2}g$$

Answer

$$\frac{1}{3\ }g$$

Answer

$$\frac{3}{2}g$$

Answer

$$\frac{2}{3}g$$

Question 54

Write an algebraic expression:
7 less than a number, g.

Accepted Answer

g - 7

Answer

g + 7

Answer

7 - g

Answer

$$\frac{g}{7}$$

Question 55

Write word phrase of the algebraic expression:
$$t+5$$

Accepted Answer

t increased by 5

Answer

5 less than t

Answer

The product of 5 and t

Answer

The quatient of 5 and t.

Question 56

Which word phrase matches this algebraic expression?

$$2\cdot t$$

Accepted Answer

twice t

Answer

double t

Answer

t less than 2

Answer

t greater than 2

Question 57

Which word phrase matches the algebraic expression?
$$3+t^2$$

Accepted Answer

three more than t squared

Answer

t squared plus 3 squared

Answer

three plus t

Answer

3 times t squared

Question 58

Which word phrase matches the algebraic expression?
$$\frac{t}{6}$$

Accepted Answer

The quotient of t and 6.

Answer

The quotient of 6 and t.

Answer

6 less than t.

Answer

The product of t and 6.

Question 59

Simplify the expression:
$$x+x+x$$

Accepted Answer

3x

Answer

$$\frac{x}{3}$$

Answer

x3

Answer

$$\frac{3}{x}$$

Question 60

Simplify the expression:
$$y+y+x$$

Accepted Answer

2y + x

Answer

3x

Answer

y2 + x

Answer

$$\frac{2y}{x}$$

Question 61

Simplify the expression:
3x + 8x

Accepted Answer

11x

Answer

5x

Answer

10x

Answer

12x

Question 62

Simplify the expression:
$$y\cdot y\cdot y$$

Accepted Answer

y3

Answer

3y

Answer

y+y+y

Answer

$$\frac{y^3}{3}$$

Question 63

Simplify the expression using distributive property:
5(3x - 5y)

Accepted Answer

15x - 25y

Answer

15x - 5y

Answer

5x - 25y

Answer

15x - 25

Question 64

Write an equation for the situation:
Marilyn bought lunch 5 days last week. Each lunch cost d dollars. She spent $30 total. Write an equation that can be solved to find the cost of one lunch.

Accepted Answer

5d = 30,
d = 6

Answer

5 - d = 30,
d = -25

Answer

30d = 5,
d = 1/6

Answer

d + 5 = 30,
d = 25

6th Grade Math Year in Review

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