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MAT 1012 Winter 2009 Exam: Mathematics Problem Solving - Prof. Nancy Molik, Exams of Elementary Mathematics

A mathematics exam from mat 1012 winter 2009. The exam covers various mathematical concepts including division, decimals, multiplication, simplification, ratios, unit rates, and problem solving. Students are required to show their work and simplify all answers.

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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Test 3 MAT 1012 Winter 2009 Name ____________________________
Simplify all answers and show your work! Solutions having an answer only or where the work does not
match up with the answer will be marked wrong. This is not a test of your ability to guess.
1) Divide:
3
.
1
76.6 2) Write
8
7 as a decimal. 3) Simplify: 1.2 • 2.52 ÷ 1.5 + 3.7
4) Write the following in order from smallest to largest: 0.352, 0.235, 0.253, 0.238, 0.249
Solve for x:
5) Solve for x:
25
15
6
=
x 6)
8
.
1
8.5
7
.
2
=
x 7)
8) Write each ratio as a fraction in lowest terms:
a) 36 to 9 b) $1.80 to $5.40 c)
7
4
8 to
14
3
4
9) Write the following as unit rates:
a) $3.81 for 3 pounds b) 229.5 miles in 3 hours
10) If you can purchase the following jars of 11) If a wheel made 480 revolutions at a rate of
mayonnaise at the prices given, which is the
3
2
66 revolutions per minute, how long did it
best deal? Justify your answer. rotate?
12 oz for $2.98
18 oz for $3.49
20 oz for $4.19
pf2

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x 5

Test 3 MAT 1012 Winter 2009 Name ____________________________

Simplify all answers and show your work! Solutions having an answer only or where the work does not match up with the answer will be marked wrong. This is not a test of your ability to guess.

  1. Divide:
  1. 3
  1. Write 8

as a decimal. 3) Simplify: 1.2 • 2.5^2 ÷ 1.5 + 3.

  1. Write the following in order from smallest to largest: 0.352, 0.235, 0.253, 0.238, 0.

Solve for x:

  1. Solve for x: 25

x

  1. 8

x

  1. Write each ratio as a fraction in lowest terms:

a) 36 to 9 b) $1.80 to $5.40 c) 7

8 to 14

  1. Write the following as unit rates: a) $3.81 for 3 pounds b) 229.5 miles in 3 hours

  2. If you can purchase the following jars of 11) If a wheel made 480 revolutions at a rate of

mayonnaise at the prices given, which is the 3

66 revolutions per minute, how long did it

best deal? Justify your answer. rotate? 12 oz for $2. 18 oz for $3. 20 oz for $4.

  1. Edwin has a board that is 15.2 feet long. He wants to cut the board into pieces that are 1.9 feet long. How many 1.9-foot pieces will he get from the large board?

  2. In 2009, the IRS allowed a tax deduction of 50.5 cents per mile for mileage driven for business purposes. What deduction, in dollars, would be allowed for driving 653.7 miles? (Round your answer to the nearest cent.)

  3. To mix a plaster for a cast, Jane must mix of 70 ml water for every 100 grams of plaster. If she wants to use 525 grams of plaster in her mix, how much water would she need to use?

  4. If 4 quarts of oil cost $15.80, 16) Tony bought items at Walmart for $3.79, $4.45, and $12.99. how much will 10 quarts cost? The tax on the items was $1.49. If Tony gave the cashier $25.00, how much change will he get back?

  5. You get a 1.69-ounce bag of M&M’s from your sweet math teacher! If there are 55 M&M’s in your bag and 16 of them are yellow, how many yellow M&M’s would you expect to find in a bag of 264 M&M’s? (Round to the nearest whole M&M.)

  6. Don’s Toyota Camry averages 525 miles on a 15-gallon tank of gas. If Don runs out of gas and AAA

brings him 2

1 gallons of gas in a gas canister, determine how far he can go. Round to the nearest mile.