# Math Review (Grade 6)

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## Math Review

1.

Use the data below to answer the question.

2 Chickens

4 Deer

3 Donkeys

6 Goats

What is the ratio of goats to the total number of animals?

2 Chickens

4 Deer

3 Donkeys

6 Goats

What is the ratio of goats to the total number of animals?

- 2:5
- 5:2
- 2:3
- 3:2

2.

Donna used the grocery ads to list apple prices at four stores.

Albertson's: 4 pounds for $3.32

Foodland: 2 pounds for $1.62

Downey's: 3 pounds for $2.37

Foodtown: 5 pounds for $4.50

Which store charges the least amount per pound?

Albertson's: 4 pounds for $3.32

Foodland: 2 pounds for $1.62

Downey's: 3 pounds for $2.37

Foodtown: 5 pounds for $4.50

Which store charges the least amount per pound?

- Albertson's
- Foodland
- Downey's
- Foodtown

3.

What is the missing value in the ratio table?

Ratios | |
---|---|

x | y |

8 | 3 |

16 | 6 |

24 | ? |

32 | 12 |

- 5
- 9
- 10
- 24

4.

Gina read 120 pages in 4 days. Which is an equivalent rate?

- 75 pages in 3 days
- 60 pages in 2 days
- 105 pages in 5 days
- 80 pages in 3 days

5.

The shaded shapes below represent fractions. Which fraction is the correct solution to the problem?

[math]-:[/math] [math]=[/math]

[math]-:[/math] [math]=[/math]

- [math]5/4[/math]
- [math]4/5[/math]
- [math]5/9[/math]
- [math]9/5[/math]

6.

400,543 is the number of collective miles traveled per season by Professional Bull Riders' 11 transport vehicles. What is the average number of miles traveled by each vehicle?

- 31,020 miles
- 36,413 miles
- 397,723 miles
- 1,500 miles

7.

Frank and Jenny are working on a science project. They need to write how much a rock that weighs 7 pounds on Earth would weigh on Mars. They know they can multiply weight on Earth by 0.38 to find weight on Mars. What number should they write down?

- 0.266 pound
- 2.66 pounds
- 26.6 pounds
- 266 pounds

8.

Which of the following pairs of numbers have a least common multiple (LCM) of 56?

- 2 and 28
- 7 and 8
- 4 and 14
- 3 and 17

9.

Which of the following is true?

- 10 + 5 = 2(5 + 1)
- 15 + 30 = 15(1 + 2)
- 16 + 56 = 2(7 + 8)
- 14 + 63 = 7(2 + 8)

10.

The temperature at 3:00 PM was 15 degrees. At midnight the temperature was -2 degrees. What's the difference between those two temperatures?

- 13 degrees
- 17 degrees
- 19 degrees
- 10 degrees

11.

Camden plots the opposite of -1 on the number line. What number(s) should be marked?

- 0
- 1
- -1
- -1 and 1

12.

Which mathematical statement represents the following statement?

[math]-2 ^degF[/math] is warmer than [math]-5 ^degF[/math]

[math]-2 ^degF[/math] is warmer than [math]-5 ^degF[/math]

- [math]-2 degF <= -5degF[/math]
- [math]-5degF <=-2degF[/math]
- [math]-2 degF < -5degF[/math]
- [math]-5 degF < -2degF[/math]

13.

John plots the following points on the graph:

A (2, 6)

B (-9, 6)

What is the distance between points A and B?

A (2, 6)

B (-9, 6)

What is the distance between points A and B?

- 2 units
- 7 units
- 9 units
- 11 units

14.

Which shows the expression rewritten in exponent form?

[math]7 xx 7 xx 7 xx 4 xx 4[/math]

[math]7 xx 7 xx 7 xx 4 xx 4[/math]

- [math]3^7 + 2^4[/math]
- [math]7^3 + 4^2[/math]
- [math]3^7 xx 2^4[/math]
- [math]7^3 xx 4^2[/math]

15.

Which expression represents the phrase below?

8 less than the product of 6 and a number, x

8 less than the product of 6 and a number, x

- [math]8-6x[/math]
- [math]6x-8[/math]
- [math](6x+x)-8[/math]
- [math]8-(6+x)[/math]

16.

Which property is illustrated by the following equation?

[math]8 xx (3 + 6) = (8 xx 3) + (8 xx 6)[/math]

[math]8 xx (3 + 6) = (8 xx 3) + (8 xx 6)[/math]

- commutative
- distributive
- identity
- associative

17.

Which set indicates only values that are solutions to the inequality below?

[math]6<3y-9[/math]

[math]6<3y-9[/math]

- 3, 4, 5
- 4, 6, 8
- 5, 6, 7
- 6, 8, 9

18.

Mary had p coins. Then she found 98 more coins in a drawer. Choose the expression that shows how many coins Mary has now.

- p – 98
- p
- p + 98
- 98 – p

19.

Solve for x.

[math]2x + 9 = 12[/math]

[math]2x + 9 = 12[/math]

- [math]2/3[/math]
- [math]-2/3[/math]
- [math]3/2[/math]
- [math]-3/2[/math]

20.

Iman wrote the inequality below to represent the money, x, that she has. Which situation is correctly represented by the inequality?

[math]x>12[/math]

[math]x>12[/math]

- Iman has at least $12.
- Iman has more than $12.
- Iman has less than $12.
- Iman has no more than $12.

21.

A garden has 4 fewer tomato plants than pepper plants.

The table show how the number of tomato plants, t, depends on the number of pepper plants, p.

How would you write this as an equation?

The table show how the number of tomato plants, t, depends on the number of pepper plants, p.

Plants | |
---|---|

t | p |

3 | 7 |

4 | 8 |

5 | 9 |

How would you write this as an equation?

- [math]t = p +4[/math]
- [math]t=p-4[/math]
- [math]t=4p[/math]
- [math]t = 4p +1[/math]

22.

[math]bar (BC)[/math] measures 12 m and [math]bar (AB)[/math] measures 4 m.

What is the area of right triangle ABD?

What is the area of right triangle ABD?

- [math]16 m^2[/math]
- [math]24 m^2[/math]
- [math]32 m^2[/math]
- [math]48 m^2[/math]

23.

Which solid figure would this net make?

- cone
- cube
- pyramid
- cylinder

24.

The prism shown has the following dimensions:

[math]bar(AD[/math] = [math]1/3 unit[/math]

[math]bar(DE[/math] = [math]3/4 unit[/math]

[math]bar(DC[/math] = [math]3/4 unit[/math]

What is the volume of the prism?

[math]bar(AD[/math] = [math]1/3 unit[/math]

[math]bar(DE[/math] = [math]3/4 unit[/math]

[math]bar(DC[/math] = [math]3/4 unit[/math]

What is the volume of the prism?

- [math]7/12 unit^3[/math]
- [math]9/12 unit^3[/math]
- [math]7/48 unit^3[/math]
- [math]9/48 unit^3[/math]

25.

What shape is created when the following points are plotted and connected?

A (1, 2)

B (4, 7)

C (7, 2)

D (4, -10)

A (1, 2)

B (4, 7)

C (7, 2)

D (4, -10)

- kite
- rhombus
- rectangle
- parallelogram

26.

Which of the following questions is not statistical?

- How old are the students in my classroom?
- What is the height of each person in my class?
- How old am I?
- How many letters are in the names of each person in my class?

27.

Callie records the number of minutes she practices the trumpet each day, as shown below:

Sunday - 20 minutes

Monday - 30 minutes

Tuesday - 10 minutes

Wednesday - 20 minutes

Thursday - 15 minutes

Friday - 20 minutes

What is the mode for this set of data?

Sunday - 20 minutes

Monday - 30 minutes

Tuesday - 10 minutes

Wednesday - 20 minutes

Thursday - 15 minutes

Friday - 20 minutes

What is the mode for this set of data?

- 10
- 15
- 20
- 30

28.

Look at the data set:

3, 4, 2, 9, 2, 3

Which number is an outlier of the data set?

3, 4, 2, 9, 2, 3

Which number is an outlier of the data set?

- 2
- 3
- 4
- 9

29.

Karla scored 75, 80, and 92 on her history quizzes. What is the minimum score she needs on her next quiz to have a mean of 85?

- 93
- 97
- 85
- 95

30.

Every day at school, Clare and Natalie record the amount of water left in a bowl until all of the water has evaporated. When they are finished, they want to clearly represent their data about water and evaporation time to the class. Which of these would best represent their data?

- A circle graph
- A line graph
- A bar graph
- A realistic drawing

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