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7th Grade Review - 1

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

Warren had five entries in his checkbook.

If Warren had $540 in his checking account before these entries, what is the balance of his checking account now?


What are the values to be added?

a)

540 + 135.50 + 34.67 + 43.00

b)

135.50 + 34.67 + 43.00

c)

83.14 + 54.00

2.

Warren had five entries in his checkbook.

If Warren had $540 in his checking account before these entries, what is the balance of his checking account now?


What are the values to be Subtracted?

a)

540 and 54

b)

83.14 and 540

c)

83.14 and 54.00

3.

Warren had five entries in his checkbook.

If Warren had $540 in his checking account before these entries, what is the balance of his checking account now?


What is the total value without the negatives?

a)

753.17

b)

213.17

4.

Warren had five entries in his checkbook.

If Warren had $540 in his checking account before these entries, what is the balance of his checking account now?


How much money you have to subtract ALTOGETHER to get the answer?

a)

$137.14

b)

$213.17

5.

Warren had five entries in his checkbook.


If Warren had $540 in his checking account before these entries, what is the balance of his checking account now?


(INTERIM QUESTION)

a)

$76.03

b)

$616.03

c)

$753.17

d)

$606.03

6.

An hour of vacuuming or mopping uses 280 calories. This activity is  25\frac{2}{5}  of the number of calories burned by riding a bicycle for 1 hour. If that is the case, what is 15\frac{1}{5}   of total calories burned?

a)

140

b)

56

c)

560

7.

An hour of vacuuming or mopping uses 280 calories. This activity is  25\frac{2}{5}  of the number of calories burned by riding a bicycle for 1 hour. If that is the case, what is  35\frac{3}{5}   of the total calories burned?

a)

420

b)

280

c)

560

8.

An hour of vacuuming or mopping uses 280 calories. This activity is  25\frac{2}{5}  of the number of calories burned by riding a bicycle for 1 hour. If  25\frac{2}{5}  th of the total is 280, what is total calories burned in an hour?

a)

112 Calories

b)

700 Calories

c)

560 Calories

9.

An hour of vacuuming or mopping uses 280 calories. This activity is  25\frac{2}{5}  of the number of calories burned by riding a bicycle for 1 hour. What is the total number of calories burned by riding the bicycle for 2 hours? 

(INTERIM QUESTION)

a)

112 Calories

b)

1400 Calories

c)

1,120 Calories

d)

700 Calories

10.

Is the statement true/false about the set of rational numbers?


"If a number is a rational number, then the number is a whole number"

a)

True

b)

False

11.

Is the statement true/false about the set of rational numbers?


"If a number is a whole number, then the number is a rational number"

a)

True

b)

False

12.

Is the statement true/false about the set of rational numbers?


"If a number is an integer, then the number is a whole number"

a)

True

b)

False

13.

Is the statement true/false about the set of rational numbers?


"If a number is a rational number, then the number is greater than 0"

a)

True

b)

False

14.

Which statement is true about the set of rational numbers?

A) If a number is a rational number, then the number is a whole number

B) If a number is a whole number, then the number is a rational number

C) If a number is an integer, then the number is a whole number

D) If a number is a rational number, then the number is greater than 0


(INTERIM QUESTION)

a)

A

b)

B

c)

C

d)

D

15.

Marilyn bought 15 feet of ribbon for an art project. She plans to cut it evenly into lengths of 7 inches. How many pieces of these lengths can be made from it?


1 Foot = 12 Inches

a)

25

b)

105

c)

180

16.

Marilyn bought 15 feet of ribbon for an art project. She plans to cut it evenly into lengths of 7 inches. How many inches are there in 15 feet?


1 Foot = 12 Inches

a)

25

b)

105

c)

180

17.

Marilyn bought 15 feet of ribbon for an art project. She plans to cut it evenly into lengths of 7 inches. How much ribbon will be left after she cuts as many pieces of these lengths as possible? (INTERIM QUESTION)


1 Foot = 12 Inches

a)

3 Inches

b)

4 Inches

c)

5 Inches

d)

6 Inches

18.

Mrs. Flowers asked each of her 30 piano students to select their favorite type of music. She organized the information below:

- 20% of the students chose classical music
- One-third of the students chose country music
- The remaining students chose rock music

How many students chose classical music?

Clue: 20% of 30, .20 x 30, or 1/5th of 30  = ?

a)

6

b)

5

c)

8

d)

7

19.

Mrs. Flowers asked each of her 30 piano students to select their favorite type of music. She organized the information below:

- 20% of the students chose classical music
- One-third of the students chose country music
-The remaining students chose rock music

How many students chose country music?

Clue:  13\frac{1}{3}  of 30?

a)

10

b)

5

c)

8

d)

7

20.

Mrs. Flowers asked each of her 30 piano students to select their favorite type of music. She organized the information below:

- 20% of the students chose classical music
- One-third of the students chose country music
- The remaining students chose rock music

How many students chose rock music as their favorite type of music? (INTERIM QUESTION)

Clue: 30 total -  (20% (number) +  13\frac{1}{3}  (number))

a)

14 Students

b)

10 Students

c)

6 Students

d)

4 Students

21.

Which set of numbers is NOT a subset of rational numbers?


F) Negative Integers

G) Repeating Decimals

H) Positive Decimals

J) Negative terminating decimals


Clue: Those that cannot be written as the ratio of two integers.

a)

G

b)

F

c)

F

d)

J

22.

Which of these set of numbers cannot be written as a 'fraction'?


F) Negative Integers

G) Repeating Decimals

H) Positive Decimals

J) Negative terminating decimals

a)

G

b)

F

c)

F

d)

J

23.

Mr. Williams spent $49.65 on wallpaper, $17.99 each for 2 cans of paint and $17.84 for brushes and other supplies to redecorate his room. How much money he spent in total?

a)

$103.47

b)

$34.52

c)

$16.53

d)

$85.48

24.

Mr. Williams spent $49.65 on wallpaper, $17.99 each for 2 cans of paint and $17.84 for brushes and other supplies to redecorate his room. He gave the clerk $120.00. How much change should he receive?

a)

$103.47

b)

$34.52

c)

$16.53

d)

$85.48

25.

Mr. Williams spent $49.65 on wallpaper, $17.99 each for 2 cans of paint and $17.84 for brushes and other supplies to redecorate his room. He gave the clerk $110.00. How much change should he receive?

a)

$103.47

b)

$34.52

c)

$6.53

d)

$85.48

26.

 10 ÷ 25-10\ \div\ \frac{2}{5}   = ?

a)

-25

b)

25

c)

-4

d)

4

27.

What is the value of  220 ÷ 54-220\ \div\ \frac{5}{4}  
(INTERIM QUESTION)
Clue: Flip the fraction and Multiply

a)

-176

b)

-225

c)

176

d)

-80.6

28.

What is the value of  25÷37\frac{2}{5}\div\frac{3}{7}  

a)

 1415\frac{14}{15}  

b)

 1514\frac{15}{14}  

c)

 635\frac{6}{35}  

29.

Which Venn diagram best represents the relationship among integers, rational numbers, and whole numbers?


(BENCHMARK QUESTION)

a)

J

b)

H

c)

F

d)

G

30.

"All the whole numbers are part of the integer group, all the integers are part of rational number group, but all the rational numbers may not be integers or whole numbers - meaning there can be rational numbers that are not integers or whole numbers"


Which diagram supports the statement?

a)

J

b)

H

c)

F

d)

G

31.

A triangular prism and its net are shown. Which measurements are the THE total LENGTH AND WIDTH OF THE RECTANGLE in the net?

a)

24 AND 5

b)

8 AND 5

c)

5 AND 7

d)

7 AND 8

32.

A triangular prism and its net are shown. Which measurement is closest to the AREA OF ONE OF ITS BASES?

a)

28  units2units^2  

b)

176  units2units^2  

c)

56  units2units^2  

d)

280  units2units^2  

33.

A triangular prism and its net are shown. Which measurement is closest to the AREA OF ITS BASES?

a)

56  units2units^2  

b)

176  units2units^2  

c)

56  units3units^3  

d)

280  units2units^2  

34.

A triangular prism and its net are shown. Which measurement is closest to the TOTAL surface area of the prism? 

a)

120  units2units^2  

b)

176  units2units^2  

c)

56  units2units^2  

d)

280  units2units^2  

35.

A triangular prism and its net are shown. Which measurement is closest to the lateral surface area of the prism? 
(BENCHMARK QUESTION)

a)

120  units2units^2  

b)

176  units2units^2  

c)

56  units2units^2  

d)

280  units2units^2  

36.

Triangle ABC is similar to triangle DEC. Segment AB is parallel to segment ED.


What are the corresponding sides of two triangles?


(They should be part of different fractions, when you set the proportion)

a)

12 and 20, 6 and X

b)

12 and 8, 6 and 20

37.

Triangle ABC is similar to triangle DEC. Segment AB is parallel to segment ED.

Which proportion can be used to find the length of X in centimeters? (BENCHMARK QUESTION)

(Clue: When you set a proportion, the parts of the SAME triangle, should be the numerator and denominator)

a)

 126 = 20x\frac{12}{6}\ =\ \frac{20}{x}  

b)

 1220=8x\frac{12}{20}=\frac{8}{x}  

c)

 1220=x6\frac{12}{20}=\frac{x}{6}  

d)

 1220=x8\frac{12}{20}=\frac{x}{8}  

38.

Triangle ABC is similar to triangle DEC. Segment AB is parallel to segment ED.


What is the value of X ?

a)

10

b)

8

c)

12

d)

6

39.

The most popular pizza at pizza parlor is a large pizza with a 10-inch radius. Which measurement is closest to the area of the pizza in square inches?
(BENCHMARK QUESTION)
Clue: Area =  πr2\pi r^2  

a)

629.32  in2in^2  

b)

78.5  in2in^2  

c)

314.16  in2in^2  

d)

100  in2in^2  

40.

The most popular pizza at pizza parlor is a large pizza with a 10-inch radius. Which measurement is closest to the CIRCUMFERENCE of the pizza?
Clue: Circumference =  2πr2\pi r  

a)

629.32 inches

b)

78.5 inches

c)

62.83 inches

d)

100 inches

41.

Last month, a local plant nursery ordered a shipment of 75 shrubs. This month, they ordered 60 shrubs. By what percentage was the shrub order reduced? 

Choose the correct formula for solving this problem.

Clue: Its percent change! No Way 15!!!

a)

 x100=DifferenceOriginal Value\frac{x}{100}=\frac{Difference}{Original\ Value}  

b)

 x100=OriginalDifference\frac{x}{100}=\frac{Original}{Difference}  

42.

Last month, a local plant nursery ordered a shipment of 75 shrubs. This month, they ordered 60 shrubs. By what percentage was the shrub order reduced?

Choose the correct formula for solving this problem.

Clue: Its percent change! No Way 15!!!

a)

x100=1575\frac{x}{100}=\frac{15}{75}

b)

x100=1560\frac{x}{100}=\frac{15}{60}

43.

Last month, a local plant nursery ordered a shipment of 75 shrubs. This month, they ordered 60 shrubs. By what percentage was the shrub order reduced? 
(BENCHMARK QUESTION)
Clue: Its percent change! Not the number reduced!

a)

135%

b)

25%

c)

15%

d)

20%

44.

75 to 60

What is the percent change? 

 x100 =1575\frac{x}{100}\ =\frac{15}{75}   = 1500 / 75

a)

135%

b)

25%

c)

15%

d)

20%

45.

What do you think of the 'slope' of this graph?

a)

Negative, it goes down from left to right

b)

Positive, it goes up from left to right

46.

What is the 'y intercept' of this graph?

a)

4

b)

3

c)

-1

47.

On which point the graph crosses the Y axis?

a)

4

b)

3

c)

-1

48.

What is the change in Y over Change in X for this graph?

a)

32-\frac{3}{2}

b)

42\frac{4}{2}

c)

2

49.

What is the 'Constant Rate of Change' for this graph?

a)

-1.5

b)

1.5

c)

2

d)

-2

50.

Which equation best represents the relationship between X and Y in the graph? 

(BENCHMARK QUESTION)

a)

 y = 1.5x + 4y\ =\ -1.5x\ +\ 4  

b)

 y = 1.5x +4y\ =\ 1.5x\ +4  

c)

 y = 2x +4y\ =\ 2x\ +4  

d)

 y = 2x  1y\ =\ -2x\ -\ 1