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# 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 ÷ 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) &#8729; (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&#61616; 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 &#960; &#8776; 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 ÷ ( -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 × 14 × 14 × 14 × 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 &#8729; 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 &#960; &#8776; 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?

#### Solution Summary

This provides examples of a variety of basic math skills problems, including borrowing in subtraction, rounding, writing fractions, choosing measurement, dividing, proportions, area, percentages, word problems, measurement conversion, ratios, histograms, exponential notation, multiplication, order of operations, and volume.

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