# Basic math problems

See attached

Question 1

Subtract. Use borrowing, if necessary.

6526

-2471

Question 2

Round the decimal to the given place value.

6.66 (nearest tenth)

Question 3

Write the fraction.

There are 100 centimeters in a meter. What fractional part of a meter does 7 centimeters represent?

Question 4

Choose the most reasonable measurement for the situation described.

Sam went jogging yesterday. Which would be the most likely measurement for the distance he jogged?

8 m

8cm

8km

8mm

Question 5

Divide, if possible. Write the answer in simplest form.

16

7 Ã· 1

7

Question 6

Determine if the statement is a proportion.

I.

8 dogs

________________________________________46 households = 56 dogs

________________________________________322 households

II.

20 weeks

________________________________________132.8 sq miles = 5 weeks

________________________________________33.2 sq miles

Question 7

657

-43

624

Question 8

Solve. Write the answer in simplest form.

Find the area of the rectangle. Write the answer in simplest form. Recall that the area = (length) ∙ (width).

A = 5/9 yard

B = 18 yards

Question 9

Toby is taking Ellie out to dinner. He has $ 85.10 to spend. He wants to tip the server 15% of the cost of the meal. How much can he spend on the meal?

Question 10

Solve:

Colton had a balance of $31 in his checking account. Since then he made deposits of $165, $264 and $396 and wrote checks for $97, $152, $213, and $254. When all of the deposits are recorded and all of the checks clear, what will balance will he have in his checking account?

Question 11

Choose the most reasonable measurement.

What is the most reasonable estimate for the weight of a pebble?

11t

11mg

11g

11kg

Question 12

Perform the conversion. Round to the nearest hundredth when necessary.

6 km to mi

Question 13

Solve:

Yvonne and Marlena spent three weeks one summer traveling around to different national and state parks. They drove a total of 1186.65 miles and used 40.5 gallons of gas. How many miles per gallon did they get on the trip? Round to the nearest tenth of a gallon.

Question 14

Solve.

A triangle has three angles, R, S, and T. Angle T is 40 greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?

Question 15

Determine if the statement is a proportion.

I.

316 feet

________________________________________8 rolls = 1581 feet

________________________________________40 rolls

II.

192 points

________________________________________64 games = 24 points

________________________________________8 games

Question 16

Determine if the statement is a proportion.

I.

6 dogs

________________________________________27 households = 18 dogs

________________________________________80 households

II.

12 weeks

________________________________________121.8 sq. miles = 3 weeks

________________________________________30.2 sq. miles

Question 17

Write the equivalent value.

1 cup = _____ fluid ounces

Question 18

Write the ratio in lowest terms:

4 1/4 pounds to 5 pounds

Question 19

James bought 23/7 gallons of gasoline to fill up his car. Write this as a mixed number.

Question 20

A new car dealership has taken an inventory of the vehicles it has in stock. Below is a histogram indicating the number of vehicles in stock in certain price ranges. Use the histogram to answer the question.

How many vehicles does the dealership have in stock that are priced at $28,000 or more?

Question 21

Solve. Use π ≈ 3.14 and round to the nearest hundredth.

Ellie bought a circular etched-glass tabletop to use as her dining room table. The glass is 18 ft in diameter. Find the cost of the tabletop at $ 96 per square yard of glass.

Question 22

Determine if the statement is a proportion.

I.

1

________________________________________2 = 5

________________________________________10

II.

1

________________________________________6 = 7

________________________________________42

Question 23

Convert. When necessary, round the answer to two decimal places.

25 yards to feet

Question 24

Determine if the statement is a proportion.

I.

5 2/3

________________________________________6 = 11 1/3

________________________________________14

II.

1 4/13

________________________________________6 = 5 3/13

________________________________________24

Question 25

Write as a rate in simplest form. Express your answer as a fraction.

436 square feet per 36 pounds

Question 26

Determine if the statement is a proportion.

I.

162.9 gallons

________________________________________17 acres = 488.7 gallons

________________________________________51 acres

II.

36 hours

________________________________________276 pages = 6 hours

________________________________________46 pages

Question 27

Provide an appropriate response.

Which of the following statements is correct?

A meter is slightly shorter than three feet

A foot is slightly shorter than three meters

A meter is slightly longer than three feet

A foot is slightly longer than three meters

Question 28

Solve:

79 is 20% of what?

Question 29

Write the following as a rate in lowest terms.

$ 228 for 38 bushes

Question 30

Multiply or divide.

216 Ã· ( -9)

Question 31

Write the ratio in lowest terms.

8 : 5

Question 32

Translate the English sentence into an equation using the variables indicated.

The ratio of brick houses to wooden houses in a particular city is 5 to 11. Let b = the number of brick houses and w = the number of wooden houses.

Question 33

Provide an appropriate response.

Which of the following statements is correct?

A gallon is slightly less than four liters

A liter is slightly more than four gallons

A gallon is slightly more than four liters

A liter is slightly less than four gallons

Question 34

Solve:

In a distant solar system the diameter of planet A is 8 times as great as the diameter of planet B. The diameter of planet B is 787 miles. Find the diameter of planet A.

Question 35

Solve for the variable:

18.4 = x - 8.2

Question 36

Check the subtraction. If the subtraction has not been done correctly, find the correct answer.

668

- 422

246

Question 37

288

82

6687

32

797

+ 1146

Question 38

Write using exponential notation.

14 Ã— 14 Ã— 14 Ã— 14 Ã— 14

Question 39

Solve.

Jennifer bought 22 quarts of milk for the day care center where she works. Her co-worker Henri, who is from France, says that the center will only need 12 liters of milk. How many extra quarts of milk did Jennifer buy?

Question 40

Multiply:

6020

* 7

Question 41

Simplify by using the order of operations. Round your answer to the nearest hundredth.

33.9 - 9.8 ∙ 2

Question 42

Solve. Round to the nearest tenth when necessary.

11.35 pounds

________________________________________5 kilograms = n pounds

________________________________________8 kilograms

Question 43

Choose the most reasonable measurement.

Tyrell read the nutrition label on the back of his frozen dinner. Choose the most reasonable estimate for the amount of sodium in the dinner.

480 t

480 kg

480 g

480 mg

Question 44

Choose the most reasonable measurement for the situation described.

Tonya measured the length of her bookshelf. Choose the most reasonable measurement.

Question 45

8.3% of 5000 is what?

Question 46

Solve. Write the answer in simplest form.

In a research study 54,016 people were asked which of three cold remedies they were most likely to use, Remedy A, Remedy B, or Remedy C. It was found that 7/16 of those asked preferred Remedy A. How many of the people asked chose Remedy A?

Question 47

Find the volume. Use π ≈ 3.14. Round to the nearest tenth when necessary.

a rectangular solid with width = 6.4 yd, length = 3 yd, height = 6 yd

Question 48

Determine if the statement is a proportion.

I.

164.3 gallons

________________________________________13 acres = 657.2 gallons

________________________________________52 acres

II.

32 hours

________________________________________328 pages = 4 hours

________________________________________41 pages

Question 49

Choose the most reasonable measurement.

A cruise line is building a new ship. Choose the most reasonable measurement for its weight.

7000 mg

7000 t

7000 g

7000 kg

Question 50

Solve problems by subtracting whole numbers.

Svetlana is trading her car in on a new car. The new car costs $31,025. Her car is worth $2998. How much more money does she need to buy the new car?

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Â© BrainMass Inc. brainmass.com December 24, 2021, 7:22 pm ad1c9bdddf>https://brainmass.com/math/fractions-and-percentages/basic-math-decimal-values-183192