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7th grade review

Total questions: 90

Worksheet time: 45mins

Name
Class
Date
1.

What is  89\frac{8}{9}  written as a decimal?

a)

0.8

b)

 0.80.\overline{8}  

c)

1.125

d)

 1.1251.\overline{125}  

2.

Is 378\frac{37}{8}  a rational number?  and why?

a)

Yes it is a rational number because the decimal does not repeat.

b)

Yes it is a rational number because it can be written as a fraction.

c)

No, it is an irrational number because the decimal repeats.

d)

No, it is an irrational number because it cannot be written as a fraction.

3.

Which number line models -12+16 correctly?

a)

A

b)

B

c)

C

d)

D

4.

Which equation and number line show that a number and its opposite are additive inverses?

a)

A

b)

B

c)

C

d)

D

5.

What is the distance between 623-6\frac{2}{3}  and  4134\frac{1}{3}  on a number line?


a)

 113units1\frac{1}{3}units  

b)

 213units2\frac{1}{3}units  

c)

10 units

d)

11 units

6.

A scuba diver is at an elevation of 53 feet below sea level. A hiker is at an elevation of 228 feet above sea level. What is the difference in elevation between the scuba diver and the hiker?

a)

-281 feet

b)

-175 feet

c)

175 feet

d)

281 feet

7.

Which situation will have a result of zero?

a)

Gwen walks 5 miles north, turns around, and then walks 5 miles south.

b)

Harris travels 2 miles, stops to rest, and then travels 2 miles in the same direction.

c)

Jordan pays $12 for a book and then gives his friend $12.

d)

Pheobe climbs 3 flights of stairs and then climbs another 3 flights of stairs.

8.

What is the value of

 3(2.4(1.6))×(12÷6)3\left(2.4-\left(-1.6\right)\right)\times\left(-12\div6\right)  

a)

-48

b)

-24

c)

24

d)

48

9.

What term describes  π\pi  ? 

a)

integer

b)

natural number

c)

rational number

d)

irrational number

10.

Which term describes 829\frac{-8}{29}  ?


a)

integer

b)

natural number

c)

rational number

d)

whole number

11.

What is the value of 734÷(112×3)-7\frac{3}{4}\div\left(-1\frac{1}{2}\times3\right)  


a)

 11316-1\frac{13}{16}  

b)

 123-1\frac{2}{3}  

c)

 1231\frac{2}{3}  

d)

 113161\frac{13}{16}  

12.

What is the best estimate of the value of the expression 35(4.37.8)+219\frac{3}{5}\left(4.3-7.8\right)+2\frac{1}{9}  ?


a)

-9

b)

-6

c)

0

d)

4

13.

 1012+(89)\frac{10}{12}+\left(-\frac{8}{9}\right)  

What is the value of the expression

a)

 80108\frac{80}{108}  

b)

 23\frac{2}{3}  

c)

 118-\frac{1}{18}  

d)

 80108-\frac{80}{108}  

14.

Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks.


What is the value of the stock portfolio at the end of the 4 weeks?

a)

$56,504

b)

$44,562

c)

$37,396

d)

$9,554

15.

Lily has two summer jobs. She earns  5145\frac{1}{4}   dollars every 30 minutes she tutors and $7.50 for every dog she walks.  

If Lily tutors for 4 hours and walks 8 dogs, which is the best estimation for how much money she will earn?

a)

$40

b)

$80

c)

$100

d)

$120

16.

A store manager records a positive number to show when a deposit is made to the store's bank account and a negative number to show withdrawals. Which equation could represent how the store manager records making 3 withdrawals of $36 each?

a)

336=108-3\cdot-36=-108

b)

336=108-3\cdot36=108

c)

336=1083\cdot-36=-108

d)

336=1083\cdot36=108

17.

A banker has $500 in debt slit between 2 credit cards. The banker uses the expression belo.  What is another equaivalent expression to this one?

 5002\frac{-500}{2}  

a)

 5002-\frac{500}{2}  

b)

250

c)

 5002\frac{-500}{-2}  

18.

Which expression is equivalent to

 23+(15)\frac{2}{3}+\left(-\frac{1}{5}\right)  ?

a)

 2315\frac{2}{3}-\frac{1}{5}  

b)

 23(15)\frac{2}{3}-\left(-\frac{1}{5}\right)  

c)

 23+(15)\frac{2}{3}+\left(\frac{-1}{-5}\right)  

d)

 23(15)-\frac{2}{3}-\left(\frac{1}{5}\right)  

19.

The number of notebooks, n, cost n notebooks each, for a total price of p. Which equation represents this situation?

a)

n×c=pn\times c=p

b)

n+c=pn+c=p

c)

nc=pn-c=p

d)

n÷c=pn\div c=p

20.

Consider the picture. What expression represents the perimeter of this figure?

a)

(x+1) + (4) + (x+1)

b)

(4) + 2(x+1)

c)

2(4) + 2(x+1)

d)

4(x+1)

21.

What is an expression for the perimeter of the rectangle?

a)

4(x+1)

b)

2(x) + 2(4)

c)

2(x+1) + 2(x)

d)

2(x+1) + 2(4)

22.

Which expression is equivalent to

 (73x+5y)+(4y+2)\left(\frac{7}{3}x+5y\right)+\left(-4y+2\right)  ?

a)

 313xy+23\frac{1}{3}xy+2  

b)

 513xy5\frac{1}{3}xy  

c)

 73x+y+2\frac{7}{3}x+y+2  

d)

 73xy+2\frac{7}{3}x-y+2  

23.

If is equivalent to  2(5.5x6.3)-2\left(5.5x-6.3\right)  is equivalent to  mx+12.6mx+12.6 , what is the value of m? 

a)

11

b)

3.5

c)

-3.5

d)

-11

24.

A teacher writes the expression 73.5÷2.5+1.8(7.3(4.7))73.5\div-2.5+1.8\left(7.3-\left(-4.7\right)\right)  on the board, and the table shows how two students simplify the expression.  

Which statement is true?

a)

Student Y is correct, and Student X subtracted -4.7 from 7.3 incorrectly in Step 1.

b)

Student Y is correct, and Student X made a mistake dividing 73.5 by -2.5 in Step 2.  

c)

Student X is correct, and Student Y subtracted -4.7 from 7.3 incorrectly in Step 1.

d)

Student X is correct, and Student Y made a mistake mutipllying 1.8 by 2.6 in Step 2.

25.

A dieter consumes 1,500 calories on Monday. The dieter consumes a combined 1,100 calories at breakfast, lunch, and dinner and has x snacks that are 80 calories each.

Which statement is true?

a)

An equation that can be used to find x is 80x+1,100=1,500 , and the dieter consumes 4 snacks on Monday.

b)

An equation that can be used to find x is 80x+1,100=1,500 , and the dieter consumes 5 snacks on Monday.

c)

An equation that can be used to find x is 80(x+1,100)=1,50080\left(x+1,100\right)=1,500 , and the dieter consumes 18 snacks on Monday.

d)

An equation that can be used to find x is 80\left(x+1,100\right)=1,500 , and the dieter consumes 19 snacks on Monday.

26.

A family spends $35.00 on 5 brinks and 5 bags of popcorn at the movie theater. Each drink costs $1.75, and each bag of popcorn costs x dollars. The equation models this relationship: 5(x+1.75)=355\left(x+1.75\right)=35 

How much does 1 bag of popcorn cost?

a)

$5.25

b)

$6.65

c)

$26.25

d)

$28.25

27.

What is the value of x in the equation 2x+5=372x+5=-37  ?


a)

-21

b)

-16

c)

16

d)

21

28.

A family of four wants to save at least $2,790 to go on a vacation. The family currently has $850 saved.

If the family has 5 weeks left to save, which inequality and graph represent the amount of money per week the family needs to save to meet the goal?

a)
b)
c)
d)
29.

Mrs. Kimble earns $125 per week working at a furniture store. For each piece of furniture she sells, Mrs. Kimble earns an additional $5. This week, she wants to earn more than $500. If c is the number of pieces of furniture Mrs. Kimble sells, which inequality represents this situation, and what quantities are true for c?

a)

5c+125>500 and c>755c+125>500\ and\ c>75

b)

5c+125<500 and c<755c+125<500\ and\ c<75

c)

125c+5>500 and c>4125c+5>500\ and\ c>4

d)

125c+5<500 and c<4125c+5<500\ and\ c<4

30.

Consider the inequality. x+3x<24x+3x<24  

Which values of x make the inequality true?  Select ALL that apply.

a)

4

b)

5

c)

6

d)

7

e)

8

31.

An artist completes  112\frac{1}{12}  of a mural in  23\frac{2}{3}  hour.  At this rate, how long does it take the artist to complete the mural? 

a)

 18 \frac{1}{8\ }  hour

b)

 23\frac{2}{3}  hour

c)

7 hours

d)

8 hours 

32.

An experimental vehicle is able to travel 38\frac{3}{8}  mile on  116\frac{1}{16}  gallon of water.  What is the rate at which the vehicle can travel?


a)

 3128\frac{3}{128}  mile per gallon of water

b)

 18\frac{1}{8}  mile per gallon of water

c)

4 miles per gallon of water

d)

6 miles per gallon of water

33.

A comic book store sells new and vintage comic books. The store sells 3 new comic books for 10.50 and 2 vintage comic books for $7.80. The price of each type of comic book is proportional to the number of each type of comic book sold.


What is the price of a new comic book at the store?

a)

$2.60

b)

$3.50

c)

$3.90

d)

$5.25

34.

A comic book store sells new and vintage comic books. The store sells 3 new comic books for 10.50 and 2 vintage comic books for $7.80. The price of each type of comic book is proportional to the number of each type of comic book sold.


What is the price for a vintage comic book at the store?

a)

$2.60

b)

$3.50

c)

$3.90

d)

$5.25

35.

Which graph represents a proportional relationship between x and y?

a)
b)
c)
d)
36.

Which table shows a proportional relationship between x and y?

a)
b)
c)
d)
37.

A metro car in Washington D.C. travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional, which equation represents the relationship between distance, d, and time, t?

a)

d=34td=\frac{3}{4}t

b)

d=43td=\frac{4}{3}t

c)

d=3.4td=3.4t

d)

d=4.3td=4.3t

38.

The cost, y, for x pounds of nails can be represented by the equation y=3.20x. What is the constant of proportionality of the equation?

a)

1.60

b)

3.20

c)

6.40

d)

9.60

39.

The cost of chocolate, y, is proportional to the amount of chocolate purchased, x. If 2 pounds of chocolate cost $16.00, what is the constant of proportionality for the relationship?

a)

8

b)

16

c)

32

d)

18

40.

Which equation models the relationship between y and x, as shown in the graph?

a)


y=3xy=3x

b)

y=2xy=2x

c)

y=12xy=\frac{1}{2}x

d)

y=13xy=\frac{1}{3}x

41.

A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and the amount of money collected, y.

a)


y=0.5xy=0.5x

b)

y=1.25xy=1.25x

c)

y=2.5xy=2.5x

d)

y=5xy=5x

42.

Which equation models the relationship between y and x, as shown in the graph?

a)


y=3xy=3x

b)

y=2xy=2x

c)

y=12xy=\frac{1}{2}x

d)

y=13xy=\frac{1}{3}x

43.

The graph shows the relationship between the ounces of chicken and broccoli in a recipe.


Which statement is true?

a)

The point (1,2) represents the unit rate of 2 ounces of broccoli for every 1 ounce of chicken.

b)

The point (2,1) represents the unit rate of 2 ounces of chicken for every 1 ounce of broccoli.

c)

The point (2,4) represents that there are 2 ounces of broccoli for every 4 ounces of chicken.

d)

The point (3,6) represents that there are 3 ounces of chicken for every 6 ounces of broccoli.

44.

The graph shows the relationship between the number of hours a car travels, x, and the number of kilometers traveled, y.


Which point represents the number of kilometers the car travels per hour?

a)

(0,0)

b)

(1,45)

c)

(2,90)

d)

(4,30)

45.

The table shows the cost of renting an apartment for various monthly lease terms.


At this rate, what is the cost per month to rent the apartment?

a)

$1,150

b)

$1,917

c)

$2,300

d)

$3,450

46.

A brother and sister leave school at the same time, moving in opposite directions. If the brother walks away at a speed of 3.5 miles per hour, and the sister at a speed of 7.5 miles per hour, how far apart are they after half an hour?

a)

2.5 miles

b)

4.0 miles

c)

5.0 miles

d)

5.5 miles

47.

A plant food recipe calls for 1121\frac{1}{2}  cups of fertilizer for every  3343\frac{3}{4}  cups of water.  If a gardener make a 42 cup batch of plant food using the proportions of the recipe, which statement is true?


a)

The gardener uses 12 cups of fertilizer and 30 cups of water.

b)

The gardener uses 11 cups of fertilizer and 31 cups of water.

c)

The gardener uses 10 cups of fertilizer and 32 cups of water.

d)

The gardener uses 9 cups of fertilizer and 33 cups of water.

48.

The price of an item in a shopping cart is c dollars. If the sales tax on the item is 9%, and the expression c+0.09c represents the total cost of the item after-tax, which TWO expressions also represent the total cost of the item after-tax?

a)

0.9c

b)

1.09c

c)

1.9c

d)

(1 - 0.09)c

e)

(1 + 0.09)c

49.

A store is having a sale during which all outdoor furniture is 45% off the original price, p. If the post-sale of an outdoor furniture set can be calculated using the expression p-0.45p, which expression also represents the price?

a)

0.45p

b)

0.55p

c)

1 - 0.45p

d)

p - 0.55

50.

The bill at a restaurant is $32 before tax. The tax on the bill is 5%. How much is the final bill including tax?

a)

$30.40

b)

$33.60

c)

$37.00

d)

$48.00

51.

A customer gets a 14% discount on monthly internet service. If the customer pays $51.60 a month after the discount, what is the original price of the internet service?

a)

$44.38

b)

$55.30

c)

$58.82

d)

$60.00

52.

A student was 48 inches tall in 5th grade. Now, the student measures 60 inches tall in 8th grade. What is the percent increase of the student's height?

a)

50%

b)

25%

c)

20%

d)

12%

53.

A lifeguard earns $12 per hour working during the summer. The lifeguard works a total of 52 hours and spends 80% of the money earned on a video game system. Which statement is true?

a)

The lifeguard has about $500 left after earning $624 and spending about $125 of that on the video game system.

b)

The lifeguard has about $500 left after earning $624 and spending about $499 of that on the video game system.

c)

The lifeguard has about $125 left after earning $624 and spending about $125 of that on the video game system.

d)

The lifeguard has about $125 left after earning $624 and spending about $499 of that on the video game system.

54.

A dog trainer earns $1,310 a month. The trainer puts 15% of this money in a savings account and spends $310 on rent and $405 on food. If the trainer wants to spend half of the remaining money on dog-training equipment, how much money will the trainer spend on the equipment?

a)

$199.25

b)

$313.83

c)

$398.50

d)

$797.75

55.

A pair of sneakers is on sale for $51.25. If the original price of the sneakers is $62.50, what is the percent of the discount?

a)

6%

b)

11%

c)

18%

d)

22%

56.

A town's pharmacy and hospital are 3 miles apart. If a map of the town has a scale, where 2 inch = 0.25 mile, what is the distance between the pharmacy and the hospital on the map?

a)

0.75 inch

b)

8 inches

c)

24 inches

d)

48 inches

57.

A salesperson earns 5.5% commission on the total sales made each month. If the salesperson earned $1,925 in commission last month, how much were his or her total sales last month, to the nearest cent?

a)

$1,819.13

b)

$3,500

c)

$10,587.50

d)

$35,000

58.

The dimensions of a blueprint of a house are 8 in. wide by 15 in. long. If the scale of the blueprint is 1 in. = 19 feet, which statement is true?

a)

The dimensions of the actual house are 152 feet wide by 159 feet long.

b)

The dimensions of the actual house are 152 feet wide by 285 feet long.

c)

The dimensions of the actual house are 159 feet wide by 152 feet long.

d)

The dimensions of the actual house are 285 feet wide by 152 feet long.

59.

Consider the scale drawing of a triangular garden. If the actual base of the triangle is 8 meters, what is the actual area of the garden?

a)

10 square meters

b)

20 square meters

c)

40 square meters

d)

80 square meters

60.

The two figures represent the dimensions of the scale drawing of an actual field and the actual field. If the actual height of the field is 30 m., what is the area of the actual field?

a)


31.25m231.25m^2

b)

48.75m248.75m^2

c)

731.25m2731.25m^2

d)

1,426.5m21,426.5m^2

61.

Joy and Trevon conduct a survey on the favorite video games of all middle school-aged students. Which population sample produced the most valid results for the survey?

a)

surveying all 7th-grade boys

b)

surveying every 5th student who walks into school in the morning

c)

surveying every girl on the volleyball team

d)

surveying every other student in the eighth-grade lunch line.

62.

The table shows the results of three random samples of 50 families collected at a school regarding conference time preference.

If there are 342 families at the school, which statement is a valid inference that can be made based on the data collected.

a)

Exactly 44 families at the school prefer evening conferences.

b)

Exactly 30% of the families at the school prefer afternoon conferences.

c)

More families at the school prefer afternoon conferences to evening conferences.

d)

Most families at the school prefer morning conferences.

63.

The dot plot shows students' math scores for 6th and 7th grade. Fill in the blank with the correct phrase:


The range of test scores in 6th grade is ____________ the range of test scores in 7th grade.

a)

less than

b)

greater than

c)

equal to

64.

The dot plot shows students' math scores for 6th and 7th grade. Fill in the blank with the correct phrase:


The mean test score in 6th grade is ____________ the mean test score in 7th grade.

a)

less than

b)

greater than

c)

equal to

65.

Consider the box plots. Based on the data, which statement is true?

a)

Game scores are generally higher in Period 1 than in Period 2 because the mean game score in Period 1 must be larger than the mean game score in Period 2.

b)

Game scores are generally higher in Period 2 than in Period 1 because the mean game score in Period 2 must be larger than the mean game score in Period 1.

c)

The majority of game scores are higher in Period 1 than in Period 2 because the median game score in Period 1 is larger than the median game score in Period 2.

d)

The majority of game scores are higher in Period 2 than in Period 1 because the median game score in Period 2 is larger than the median game score in Period 1.

66.

Consider the box plots. Based on the data, which statement about the variability of the scores in each period in a typical game is true?

a)

Scores in Period 1 are typically less consistent because the interquartile range of scores in Period 1 is less than the interquartile range of scores in Period 2.

b)

Scores in Period 1 are typically more consistent because the interquartile range of scores in Period 1 is less than the interquartile range of scores in Period 2.

c)

Scores in Period 2 are typically less consistent because the interquartile range of scores in Period 2 is less than the interquartile range of scores in Period 1.

d)

Scores in Period 2 are typically more consistent because the interquartile range of scores in Period 2 is less than the interquartile range of scores in Period 1.

67.

The tables show the ages of a random sample of female and male teachers at a school.


Which statements are true? Select ALL that apply.

a)

The mean age of female teachers at the school is greater than the mean age of male teachers.

b)

The mean age of male teachers at the school is 6 years greater than the mean age of female teachers.

c)

The maximum age of male teachers at the school is 3 years greater than the maximum age of female teachers.

d)

The median ages of female and male teachers at the school are the same.

e)

The minimum age of female teachers at the school is 4 years less than the minimum age of male teachers.

68.

The table shows weight lifting data, in pounds, for female and male competitors in a bodybuilding competition. Which statement about the difference in the mean squat weights for female and male competitors is true?

a)

The difference in the mean squat weights is about

120\frac{1}{20} times the variation for female competitiors.

b)

The difference in mean squat weights is about 320\frac{3}{20} times the variation for male competitors.

c)

The difference in the mean squat weights is about 3 times the variation for female competitiors.

d)

The differnece in the mean squat weights is about 4 times the variation for male competitiors.

69.

Student X rolls a fair number cube number 1-6. Student Y tosses a coin 30 times, and the results are shown for Student Y in the table.


Based on the table, what is the relative frequency of Student Y's coin landing on tails?

a)

18%

b)

40%

c)

60%

d)

82%

70.

Student X rolls a fair number cube number 1-6. Student Y tosses a coin 30 times, and the results are shown for Student Y in the table.


If Student X rolls the number cube 120 times, approximately how many times should the number cube land on 5?

a)

60 times

b)

54 times

c)

24 times

d)

20 times

71.

Customers at a deli make a couple of choices when ordering a sandwich. Customers must choose the type of bread and cheese they would like. The table shows the menu of choices available.


Which tree diagram shows all the possible outcomes correctly?

a)
b)
c)
d)
72.

The table shows the different choices for making a stuffed animal at a toy store. Maya and Kyle will randomly select one animal type, one shirt color, one pants color.

a)


118\frac{1}{18}

b)

18\frac{1}{8}

c)

318\frac{3}{18}

d)

38\frac{3}{8}

73.

A student has a fair spinner with 8 equal regions, as shown. The student colors 2 regions green, 3 regions blue 2 regions pink, and 1 region purple.


What is the expected probability of the spinner landing in a pink region on the first spin?

a)

14\frac{1}{4}

b)

13\frac{1}{3}

c)

21\frac{2}{1}

d)

41\frac{4}{1}

74.

Cards numbered 1 through 25 are placed in a hat. If a student selects 1 card at random, what is the probability the card is 1 digit?

a)

0.26

b)

0.36

c)

0.40

d)

0.60

75.

A student has a fair number cube labeled 1-6 and a quarter. The student rolls the number cube and flips the coin.


What is the probability the student rolls a 6 and flips the quarter on tails?

a)

16\frac{1}{6}

b)

14\frac{1}{4}

c)

112\frac{1}{12}

d)

18\frac{1}{8}

76.

The table shows the probabilities of various students being chosen for a raffle prize.


Which orders the students from least likely to most likely to win the raffle prize?

a)

Jayden, Imani, Mason, Penelope

b)

Jayden, Penelope, Imani, Mason

c)

Mason, Jayden, Penelope, Imani

d)

Mason, Penelope, Imani, Jayden

77.

Ms. Evans allows her students of the week to spin a reward. The reward wheel is shown.


Select the words that correctly complete the sentence: the chance of earning a 5-point bonus on the test is ___________ .

a)

likely

b)

certain

c)

unlikely

d)

impossible

e)

as likely as not

78.

What is the value of angle XYZ?

a)

20 degrees

b)

30 degrees

c)

38 degrees

d)

66 degrees

79.

The table shows the values of complementary angles L and M. Which statement is true?

a)

An equation to find the value of x is

3x+5+2x=903x+5+2x=90 , and the measure of angle L is 17 degrees.

b)

An equation to find the value of x is 3x+5+2x=90 , and the measure of angle L is 56 degrees.

c)

An equation to find the value of x is 3x+5+2x=1803x+5+2x=180 , and the measure of angle L is 35 degrees.

d)

An equation to find the value of x is 3x+5+2x=180 , and the measure of angle L is 110 degrees.

80.

Consider the circle with a radius of 17 cm.


What is the approximate circumference of the circle? (Use 3.14 for Pi.)

a)

53.38 cm

b)

106.76 cm

c)

226.87 cm

d)

907.46 cm

81.

A carpenter inscribes a circle within a square. The carpenter shades in the area of the square outside of the circle. The circumference of the circle is 50.24 inches.


What is the approximate area of the shaded part of the carpenter's figure? (Use 3.14 as pi.)

a)

55.04 square inches

b)

96.78 square inches

c)

152.32 square inches

d)

200.96 square inches

82.

A farmer plants corn and spinach in different sections of a garden, as shown.


Which statement is true?

a)

The corn section takes up 13.5 square feet more of the garden than the spinach section.

b)

The corn section takes up 13.5 square feet less of the garden than the spinach section.

c)

The corn section takes up 7.5 square feet more of the garden than the spinach section.

d)

The corn section takes up 7.5 square feet less of the garden than the spinach section.

83.

The image shows one of the walls of a house that includes both a rectangular and triangular region. What is the entire area of the wall?

a)

110 square feet

b)

140 square feet

c)

180 square feet

d)

480 square feet

84.

Which set of measurement determines a unique traingle?

a)

30°, 80°, 100°30\degree,\ 80\degree,\ 100\degree

b)

20°, 70°, 90°20\degree,\ 70\degree,\ 90\degree

c)

15 cm, 21cm, 30 cm

d)

14 ft, 17 ft, 35 ft

e)

5 miles, 6 miles, 11 miles

85.

A teacher asks four students to write these measurements that will make more than one triangle and explain why. The table shows the students' responses.


Which student is correct?

a)

Aiden

b)

Dominique

c)

Smith

d)

Tasha

86.

The measurements of the two sides of a triangle are 12 cm and 17 cm. Which side length could be the measurement of the third side of the triangle?

a)

5 cm

b)

6 cm

c)

29 cm

d)

30 cm

87.

A family plans to bury a treasure chest in the shape of a rectangular prism in the sand at a beach. The dimensions of the treasure chest measure 3.5 ft by 1.4 ft by 1 ft.


What is the minimum volume the hole in the sand must be to fit the entire treasure chest?

a)

4.9 cubic feet

b)

5.9 cubic feet

c)

19.6 cubic feet

d)

14.3 cubic feet

88.

What is the surface area of the right rectangular prism?

a)

2,127 square cm

b)

2,367 square cm

c)

4,440 square cm

d)

5,920 square cm

89.

A three-dimensional figure is cut perpendicular to its base. The resulting shape is shown.


Which original figure could result in the triangle after being cut?

a)

cone

b)

cylinder

c)

rectangular prism

d)

triangular prism

90.

A square pyramid shows an intersection resulting in a cross-section that is a trapezoid.


Which type of intersection with a square pyramid would create the cross-section of a trapezoid?

a)

a vertical intersection of a plane

b)

a horizontal intersection of a plane

c)

a vertical intersection of a line segment

d)

a horizontal intersection of a line segment