Name ______Period ______Date ______
6th grade Math Practice Final
Directions: Only write your final answer on this paper – highlight it; ALL WORK MUST BE SHOWN ON YOUR NOTEBOOK PAPER
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Multiply & Divide Fractions
6.NS.A. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
______
1)5 ½ × ½ =
2 3/4 / 2)
5 ½ ÷ ½ =
11 / 3)
⅓ ÷ ⅔ =
½ / 4)
⅘ × ⅕ =
4/25 / 5)
9 ÷ ⅝ =
14 2/5
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Fraction & Decimal Operations
6.NS.B Fluently Compute multi-digit numbers; including those involving decimals and fractions
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Do Write ALL answers in simplest and proper form.
6)3 ½ - ¾ =
2 3/4 / 7)
1 ⅔ + ⅔ =
2 1/3 / 8)
4 - ⅜ =
3 5/8 / 9)
⅞ + ⅞ =
1 3/4 / 10)
1.2 (.02)=
0.024
11)
1.22 ÷ .02 =
61 / 12)
3.4 + .45=
3.85 / 13)
5 – 2.3 =
2.7 / 14)
⅙ ÷ ⅙ =
1 / 15)
3.5 ÷ 7=
0.5
Integers
6.NS.C. Apply and extend previous understandings of numbers to the system of rational numbers.
______
16)-24 ÷ (-4) =
8 / 17)
-15 – (-5) =
-10 / 18)
3(-8) =
-24 / 19)
14 + (-6) =
8 / 20)
-6(2) + 5 =
-7
21)
Luis has $87 left on his checking account. If he writes a check for $95, what will Luis’s balance be?
-8 / 22)
Which number has the least absolute value?
-312, 32, 21, -12, -3
-3 / 23)
The temperature on Saturday was −4degrees Fahrenheit (°F). The temperature on Sunday was 9 degrees warmer than the temperature on Saturday. What was the temperature, in degrees Fahrenheit, on Sunday?
50F / 24)
Order the following from least to greatest:
16, -1, 0,
-19.5, -7, -3
-19.5, -7,
-3, -1, 0, 16
25) Sasha is trying to get to the bus station from her dance studio. Sasha's dance studio is located at the point (3, -4). The bus station is located 4 units to the right and 3 units down from her dance studio.
What are the coordinates of the bus station?
(7, -7)
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Ratios & Unit Rate
6.RP.A Understand ratio concepts and use ratio reasoning to solve problems.
______
26)J J
What is the ratio of happy Face to apples:
2:3 / 27)
Are they equivalent:
No / 28)
Use equivalent ratios to find the unknown value:
63 / 29)
Write two equivalent Ratios
18/22 ;
27/33
answer may vary / 30)
For every 2 male birds in a birdcage there are 5 females. What is the ratio of female birds to all birds?
5:7
31)
A local store sells oranges at a price of 8 for $4.00. What is the cost per orange?
$0.50 / 32)
A builder could get 6 sheets of sheetrock for $9. If he bought 12 sheets, how much money would he have spent?
$18 / 33)
The ratio of boys to girls at the park was 9 to 6. If there were 45 boys, how many girls were there?
30 / 34)
A box of candy had 4 cherry pieces for every 9 lemon pieces. If the box had 45 lemon pieces, how many cherry pieces would there be?
20 / 35)
At a school fundraiser for every 9 boxes of chocolate sold you earn 5 points. If you were to sell 72 boxes, how many points would you have earned?
40
Expressions
6.EE.A Apply and extend previous understandings of arithmetic to algebraic expressions.
______
36)12 ÷4 × 3 +5 -2=
12 / 37)
10 × (1 + 22) ÷ 2 – 10=
15 / 38)
Write an expression showing…
The product of k and -9.
-9k
39)
Write an expression showing…
The difference of 10 and 5, then multiply by 3.
3(10-5) / 40)
Simplify the expression:
5x + 3y + 6x +2y
11x + 5y / 41)
Simplify the expression:
5(-6 + 4n)
-30 + 20n / 42)
Evaluate:
3z + 2y – 2z
If y=0 and z= 1
1 / 43)
Write an expression showing…
Z squared
Z2
44)
Evaluate:
xy – 5
If t x = 5, y = 2
5 / 45)
Simplify the expression:
5 + 6 s + 9 – 4 s
14 + 2s
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Equations
6.EE.B Reason about and solve one-variable equations and inequalities.
______
Solve for the unknown variable.
46) -12v − 15 = −27 / 47) -7
n + 16 = 9 / 48) -13
−104 = 8x / 49) -108 / 50) 1
p − 6 = −5