Download Show all work and reduce all fractions to simplest form. Skill 1

Grade Six End of Year Math Skills Study Guide
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Show all work and reduce all fractions to simplest form.
Skill 1 – Whole Numbers
1. Write six thousand seven in standard form
(numbers).
2. Write (6 X 10,000) + (4 X 1,000) + (3 X 10) +
(7 X 1) in standard form (numbers).
3. 2,104 + 237 = ________
4. 2,000 – 199 = _______
5. 125 X 21 = ________
6. 180 ÷ 15 = ________
7. 800 X 50 = ________
8. 120,000 ÷ 600 = ________
9.
a. Is 9650 divisible by 2?
a.
b. Is 9650 divisible by 3?
b.
c. Is 9650 divisible by 5?
c.
d. Is 9650 divisible by 6?
d.
Skill 2 – Decimals
1. Write ten and twenty-five thousandths in
standard form (numbers).
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2. Round 379.8951 to the nearest hundredth.
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Grade Six End of Year Math Skills Study Guide
3. 2.044 + 0.08 = ________
4. 0.5 – 0.19 = ________
5. 1.38 X 2.5 = ________
6. 10 ÷ 2.5 = ________
7. Write the following numbers in order from
least to greatest: 3.08, 3, 3.006, 3.0008, 3.7.
8. Six pounds of cashews costs $43.14. How
much does one pound of cashews cost?
_______, _______, _______, _______, ________
Skill 3 - Factors and Prime Numbers
1. Which number has the prime factorization
2 X 2 X 3 X 3 X 7 ?
2. Find the prime factorization of 84.
3. What is the greatest common factor of 27 and
36?
4. Find the Least Common Multiple of 4, 8, and
16.
5. List the first 5 prime numbers.
Skill 4 - Fraction Operations
1.
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+
= ________
2. 5 - 2 = ________
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Grade Six End of Year Math Skills Study Guide
3.
5.
X 3
= ________
4.
÷
= ________
of 20 = ________
Skill 5 - Exponent Awareness
1. Use exponents to show 2 X 2 X 2 X 2 X 2.
2. 32 = ________
3. (6 – 3)2 = ________
4. 23 + 42 = ________
5. 42 – 30 = ________
Skill 6 – Order of Operations
1. 8 – 2 X 4 + 12 ÷ 6 = ________
2. 15 – 32 + 5 X 2 = ________
3. Evaluate 3(a – b) for a = 4 and b = 2.
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Grade Six End of Year Math Skills Study Guide
Skill 7 - Proportional Reasoning
1. Which ratio is not equivalent to the
others?
a. 3:5 b. 6:10 c. 9:15 d. 4:7
2. What is the missing term in the proportion
=
?
3. Below are two similar figures. Find x.
4. A map has a scale of 1cm : 100km. How
many centimeters on the map represent
250km?
20
30
40
x
Skill 8 – Fractions, Decimals, and Percents
1. Convert 6.3% to a decimal.
3. Convert
tenth.
to a percent. Round to the nearest
2. Convert 2.5 to a percent.
4. Suppose the sales tax rate is 6%. How much
sales tax would be charged for an item priced
at $60.00?
Skill 9 - Finding Perimeter and Area of a Square, a Rectangle, and a Triangle – Use a Label with Your Answer
1. Find the perimeter (P) and area (A) of a square
with a 7 in. side.
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2. Find the perimeter (P) and area (A) of a
rectangle 4 in. wide and 6 in. long.
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Grade Six End of Year Math Skills Study Guide
3. Find the area (A) of a triangle with base 12 and
height 8.
4. Find the perimeter (P) of an equilateral
triangle that has 10 in. sides.
Skill 10 - Translating Words into Mathematical Expressions
1. Write a variable expression for
“10 less than a number”.
2. Write a variable expression for
“a number less 10 is 20”.
3. Write a variable expression for
“the difference of 7 and a number”.
4. Write a variable expression, in fraction form,
for “the quotient of x and 3”.
5. A car travels m miles per hour. Write a variable expression that represents the number of miles
traveled in 8 hours.
Skill 11 - Solving One−Step Equa:ons
1. Solve x – 3 = 3.
2. Solve n + 1 = 4.
3. Solve 56 = 8t.
4. Solve
5. Solve
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= 12.
= 16.
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Grade Six End of Year Math Skills Study Guide
Skill 12 - Solving More Complicated Equations
1. Solve 2x + 1 = 5.
2. Solve
+ 10 = 50.
Skill 13 - Roots and Radicals
1. √36 = ________
2. √144 − √100 = ________
Skill 14 - Probability and Statistics
The weights in pounds of the fish that Carolyn caught are 12, 14, 12, 15, and 17.
Find the following information.
1. Mean
2. Median
3. Mode
4. Range
5. How many different combinations of outfits do you have if you are choosing from eight shirts, four
pairs of pants, and three different types of shoes?
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