Free Printable 7th Grade Advanced Math Midterm Review

1.

√100

a)

15

b)

10

c)

11

d)

12

2.

√64

a)

3

b)

8

c)

7

d)

6

3.

What is the square root of 9?

a)

81

b)

3

c)

6

d)

19

4.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

5.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

6.

-√400

a)

200

b)

-200

c)

-20

d)

20

e)

not real

7.

$\sqrt[]{0.49}$

a)

0.07

b)

0.7

c)

.007

d)

.0007

8.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

9.

Make the percent to decimal.

142%

a)

1.42

b)

14.2

c)

0.142

10.

Make the percent to decimal.

7%

a)

.007

b)

0.07

c)

7

11.

Order the following in ASCENDING order.

a)

$-1.5$

b)

$\frac{3}{4}$

c)

$3$

d)

$\sqrt[]{10}$

1)

2)

3)

4)

12.

Order the following in DESCENDING order.

a)

$\sqrt[]{23}$

b)

$4.\overline{3}$

c)

$\frac{41}{10}$

d)

$23\%$

1)

2)

3)

4)

13.

Convert this number to standard notation: 7.1 x 10⁴

(a)

14.

Convert this number into scientific notation: 0.068

a)

6.9 x 10⁶

b)

6.8 x 10^-9

c)

6.8 x 10^-2

d)

None of the above

15.

Convert this number to standard notation: 1.4 x 10^-2

(a)

16.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

17.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

18.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

19.

3y+6+4y-7=-8

a)

y=-1

b)

y=-8

c)

y=1

d)

y=7

20.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

21.

Solve for x.

a)

55

b)

60

c)

15

d)

35

22.

What is the value of x in the figure?

a)

18

b)

34

c)

20

d)

22

23.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

24.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

25.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

26.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

27.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

28.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

a)

$520x+6\le1000$

b)

$520+6x\ge1000$

c)

$520x+6\ge1000$

d)

$520+6x\le1000$

29.

I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?

a)

$0.40

b)

$9.00

c)

$2.50

d)

$0.90

30.

Which is NOT equivalent to 3:5?

a)

15:25

b)

9:15

c)

21:28

d)

30:50

31.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

32.

A factory produces 6 motorcycles in 9 hours. Determine how many hours it takes to produce 16 motorcycles at this rate.

a)

2.6 hours

b)

27 hours

c)

24 hours

d)

26 hours

33.

The Lakewood Wildcats won 5 of their first 7 games this year. There are 28 games in the season. About how many games would you expect the Wildcats to win this season?

a)

20 games

b)

35 games

c)

2 games

d)

4 games

34.

Cookie Monster makes the perfect cookies. He uses 2 cups of chocolate chips for every 3 dozen cookies. If he makes 54 cookies, how many cups of chocolate chips does he need?

a)

3 cups

b)

16 cups

c)

32 cups

d)

48 cups

35.

What is true about the sides of similar figures?

a)

Corresponding sides are proportional.

b)

Corresponding sides are congruent.

c)

Opposite sides are proportional.

d)

Opposite sides are congruent.

36.

What is true about the angles of similar figures?

a)

Corresponding angles are proportional.

b)

Complementary angles are proportional.

c)

Corresponding angles are congruent.

d)

Complementary angles are congruent.

37.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

38.

a)

4 ft

b)

15 ft

c)

18 ft

d)

2 ft

39.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

d)

8 feet

40.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

41.

Mr. Lucas bought a new lounge chair for his game room. The one he chose was $425. He had to pay a sales tax of 8.2%. What was the amount of sales tax he paid on the chair?

a)

$24.90

b)

$44.30

c)

$34.85

d)

Not Here

42.

Vickie makes $4,000 monthly. If she pays 20% in federal withholding and $500 in other deductions, what is Vickie's net monthly pay?

a)

$2,700

b)

$800

c)

$1,300

d)

$5,300

43.

Jessica is wanting to buy a $4.50 box of candy and a $5.50 bag of cookies. The sales tax is 5%. How much is the total for the candy?

a)

$15.00

b)

11.00

c)

$12.00

d)

$10.50

44.

Derek sells appliances. He is paid a 6.5 percent commission on every appliance he sells. Derek sold $9,732.00 worth of appliances this week. What is Derek’s commission?

a)

$632.58

b)

$63.258

c)

$6,325.80

d)

$143.38

45.

Randy gets fixed salary of $2000 per month and a commission of 2% on sales. If his total sales are $30,000 for the month, find his total salary for the month.

a)

$2,600

b)

$2,000

c)

$32,000

d)

$2,040

46.

What is the percent of change from 45 ft to 92 ft?

a)

104% increase

b)

100% decrease

c)

105% increase

d)

106% increase

47.

From 94 miles to 34 miles?

a)

60% increase

b)

64% decrease

c)

64% increase

d)

60% decrease

48.

The table below shows Claude's assets and liabilities. What is his net worth?

a)

$24,950

b)

$-25,420

c)

-$24,950

d)

$25,420

49.

The simple interest formula is I=Prt. What does the t represent?

a)

Principle

b)

Interest

c)

Time, in hours

d)

Time, in years

50.

What does the "I" in the interest formula stand for?

a)

Principal

b)

Interest

c)

Rate

d)

Time

51.

What does the "p" in the interest formula stand for?

a)

Principal

b)

Interest

c)

rate

d)

time

52.

What does the "r" in the interest formula stand for?

a)

Principal

b)

Interest

c)

rate

d)

time

53.

The rate is given as a percent (%). Before using it in the simple interest formula, you must first convert it to a______.

a)

fraction

b)

decimal

c)

ratio

d)

dollar amount

54.

Write the percent as a decimal.
4.3%

a)

4.3

b)

.43

c)

.043

d)

4300

55.

Tina invested $2,000 in a simple interest account and earned 8% rate for 5 years. What is the interest that she earned on the account?

a)

$160

b)

$800

c)

$80,000

d)

$16

56.

Emilio borrows $1200 from a bank with 8.5% simple interest per year. How much will he have to pay back total in 2 years?

a)

$204

b)

$996

c)

$1,020

d)

$1,404

57.

If I spin 35 times, how many times should the color yellow show up?

a)

1

b)

5

c)

7

d)

10

58.

If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

59.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

60.

Which event is not a dependent event?

a)

Picking 2 students to each pass out notes and collect homework from a group of 20 students

b)

Picking 2 marbles from a bag without replacing the first marble

c)

Picking 2 crayons from a box at the same time (simultaneously)

d)

Picking an earring, replacing it, then picking a 2nd earring

61.

Theoretical Probability is:

a)

What should happen.

b)

What may happen.

c)

What actually happens.

d)

What I want to happen.

62.

You spin this spinner 3 times.

Find the probability of these 3 events.

P(red, odd, 3)

a)

1/216

b)

1/72

c)

1/12

d)

1/36

63.

What is the probability of randomly selecting a striped marble, replacing it, and then selecting a solid marble?

a)

2/5

b)

6/25

c)

3/5

d)

11/50

64.

Bella will roll a number cube, labeled 1 through 6, 300 times. About how many times could Bella expect to roll a number less than 4?

a)

50

b)

100

c)

150

d)

200

65.

The bar graph shows the results of rolling a number cube __________times

a)

6

b)

50

c)

100

d)

12

66.

The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?

a)

b)

c)

d)

67.

What is the theoretical probability of tossing a number cube and it landing on an even number? reduce your fraction

a)

b)

c)

68.

There are 20 marbles in the jar.

What is the probability of choosing a marble that is NOT green from the jar?

CHECK ALL THAT APPLY

a)

10/20

b)

5%

c)

10%

d)

0.5

69.

These 12 shapes are put into a bag. If you reach into the bag 60 times, replacing the shape after each time, predict how many times you would pull out a circle.

a)

15 times

b)

20 times

c)

25 times

d)

30 times

70.

Find the value of x.

a)

x = 133

b)

x = 47

71.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

72.

Who is your favorite Christmas character?

(a)

7th Grade Advanced Math Midterm Review

Total questions: 72

Worksheet time: 2hrs 47mins

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