Download Mastery Quiz Fraction-Decimal

Mastery Quiz Fraction-Decimal-Percent Objectives
Combining Basic Arithmetic, Number Sense, and Mental Math
The student should be able to (by hand, without using a calculator):
1. Put a fraction into lowest terms.
2. Put a fraction into higher terms.
3. Rewrite an improper fraction as a mixed number.
4. Rewrite a mixed number as an improper fraction.
5. Add and subtract fractions (and mixed numbers).
6. Add and subtract decimals
7. Read a decimal number properly. (2.03 is “two and three hundredths”)
8. Convert fractions (and mixed numbers) to decimals and to percents.
9. Convert decimals to fractions (or mixed numbers) and to percents.
10. Convert percents to decimals and to fractions (or mixed numbers). .
11. Multiply fractions (and mixed numbers).
12. Multiply decimals.
13. Divide fractions (and mixed numbers).
14. Divide decimals.
15. Solve percent problems of the form ___% of ___ is ___, where two of the three blanks are known and
one of the blanks is unknown.
16. In a percent change situation, find the percent change, the amount of change, or the original amount.
Mastery Quiz I: Objectives 1-6. Mastery Quiz II: Objectives 7-10. Mastery Quiz III: Objectives 11-16.
Notes:
 Fractions should be put into lowest terms before the long division is performed (to make the division
much easier).
 To put fractions into lowest term, students are expected to use the divisibility tests for 2, 3, 4, 5, 6,
and 9 (other divisibility test are also nice to know, but not required for this particular mastery quiz).
 Students are encouraged to use mental math strategies. (This greatly reduces the amount of work.)
 Students are encouraged to use estimation to make sure their answer is reasonable.
 Students are also encouraged to use methods to check their answers (which is different than
“checking over your work”).
 Percents greater than 100% and less than 1% do occur, so it is important to understand the meaning
of these.
 For this particular mastery quiz student will not need to convert a repeating decimal to a fraction.
(This may be an objective for other homework, quizzes, or tests.)
 This list of 16 objectives is not a list of everything about fractions, decimals, and percents, but a list
of essential basics. Other important objectives exist.
Fraction-Decimal-Percent Quizzes
Quiz I: Equivalent forms of fractions and adding and subtracting (10 questions)
Quiz II: Converting fractions, decimals, and percents (9 questions)
Quiz III: Multiplying and dividing and percent problems (11 questions)
Number in parentheses tells how many questions for that objective will be on the quiz.
1. (1) Put a fraction into lowest terms.
2. (1) Put a fraction into higher terms.
3. (1) Rewrite an improper fraction as a mixed number.
4. (1) Rewrite a mixed number as an improper fraction.
5. (4) Add and subtract fractions (and mixed numbers).
6. (2) Add and subtract decimals.
7. (1) Read a decimal number properly. (2.03 is “two and three hundredths”)
8. (4) Convert fractions (and mixed numbers) to decimals and to percents.
9. (2) Convert decimals to fractions (or mixed numbers) and to percents.
10. (2) Convert percents to decimals and to fractions (or mixed numbers).
11. (2) Multiply fractions (and mixed numbers).
12. (1) Multiply decimals.
13. (2) Divide fractions (and mixed numbers).
14. (1) Divide decimals.
15. (3) Solve percent problems of the form ___% of ___ is ___, where two of the three blanks are
known and one of the blanks is unknown.
16. (2) In a percent change situation, find the percent change, the amount of change, or the original
amount.
Guidelines for writing questions.
The directions will specify that fraction answers should generally be a proper fraction or mixed number in
lowest terms (there is one exception when an improper fraction is requested). For decimal answers for word
problems, the student will round.
For divisions:

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Do include divisions (fractions) which need to be (should be) reduced (before the division is
performed).
After putting the fraction in lowest terms, the divisor will only have 1 or 2 digits.
Each quiz will include at least one division with a divisor with two non-zero digits.
For the equation font, use 14 point.
For Quiz I
For reducing fractions there should be a factor from 2, 3, 4, 5, 6, 8, 9, 10, 25 (and of course multiples of
391
17∙23
these) For example, the following would not be used “reduce 667” (which is 23∙29 ).
For putting a fraction in higher terms, version 1 and 3 the (larger) denominator will be given and the student
is to find the numerator. For version 2 and 4 the (larger) numerator will be given and the student is to find
the denominator.
For the adding and subtracting fraction problems denominators are related as (a) same, (b) d and nd, (c)
relatively prime (d) unequal with a common factor.”
For adding and subtracting mixed numbers, at least one of the two should involve regrouping.
For adding fractions 2 of the 3 versions should end with a mixed (REG=regrouping required)
For adding and subtracting decimals (write the questions in the form 5.2 – 3.56),
 every question should involve regrouping at least once.
 For the 4 versions of subtraction subtrahend is too short 1st and 3rd ; whole number 2nd; too long 4th.
 For the 4 versions of addition: include 2 whole numbers 2nd and 3rd; 1st and 3rd the first addend is too
short; 2nd the second addend is too short; 4th the addend have the same number of decimal places.
For Quiz II
Directions: when asked for a decimal, report the answer as a terminating to repeating decimal (do not round
off).
Directions: when asked for a percent, the number of places to round to (if necessary) will be stated in the
problem.
Include at least one percent greater than 100%.
Include at least one percent less than 1%.
For the four questions that require division

Either the frac>>decimal or Mixed>>decimal will repeat and the other will terminate.

One frac>> percent or Mixed>>percent will “have one decimal place” (e.g. 2/5 = .4 = 40%)
An odd divided by 8 or an odd multiple of .125 will appear.
For Quiz III
Directions: When asked for money answers, round to dollars and cents. Otherwise the number of decimal
places will be given.
Directions: when asked for a percent, the number of places to round to (if necessary) will be stated in the
problem.
Include at least one percent less than 1% or greater than 100%.
For the four questions that require division

At least one repeating decimal will appear (and will need to be rounded).

At least one division will require the user the user to add zeros. (e.g. 400  .2 = 8000)
For Objective 15: two of the three word problems. One not (e.g., 75% of what number is 120)
For Objective 16 (both word problems).
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Version 1: find percent change and original amount.
Version 2: find amount of change and original amount.
Version 3: find percent change and amount of change.
Version 4: find percent change and original amount.