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WorksheetsGrade 6 Mathematics Review
Total questions: 70
Worksheet time: 17hrs 16mins
What is the formula for the perimeter of a polygon?
The perimeter of a polygon is equal to the sum of the lengths of its sides.
The perimeter of a polygon is equal to the product of the lengths of its sides.
The perimeter of a polygon is equal to the difference of the lengths of its sides.
The perimeter of a polygon is equal to the area of the polygon.
What is the formula for the area of a triangle?
(a)
What is the formula for the area of a rectangle?
A = bh or A = lw
A = 2l + 2w
A = πr²
A = 1/2bh
What is the formula for the mean of a set of numbers?
x̄ = (x₁ + x₂ + x₃ + ... + xₙ) / n
x̄ = (x₁ × x₂ × x₃ × ... × xₙ) / n
x̄ = (x₁ + x₂ + x₃ + ... + xₙ) × n
x̄ = (x₁ - x₂ - x₃ - ... - xₙ) / n
What is the formula for the interquartile range (IQR)?
IQR = Q₃ - Q₁
IQR = Q₁ + Q₃
IQR = Q₃ + Q₁
IQR = Q₁ - Q₃
What is the formula for the volume of a right rectangular prism?
V = (length)(width)(height) or V = (area of base)(height)
V = (length) + (width) + (height)
V = (length)(width) / (height)
V = (length)2+(width)2+(height)2
What is the definition of surface area?
Choose the best answer. 1. Represent the greatest common factor of 36 and 8 using the distributive property. 36 + 8 =
A 4 x (9 + 2)
B 2 x (18+4)
C 8 x (5+2)
D 11 x (3+1)
Havier’s Bakery sells donuts in packages of 3 and cookies in packages of 5. Today the bakery sold the same number of donuts and cookies. What is the smallest number of donuts that the bakery could have sold?
A 5
B 30
C 15
D 6
During the winter months, Starbucks has a sale every 4 days and McCafe has a sale every 5 days. If stores had a sale today, when is the next time both stores will have sales on the same day?
1 day
8 days
40 days
20 days
Factors shared by two or more whole numbers are called:
prime numbers
common factors
fractions
operations
Sue has 18 CDs and 30 DVDs. He wants to place them onto the greatest number of shelves so that each shelf has the same number of CDs and the same number of DVDs. How many shelves will he use?
A 2
B 5
C 3
D 6
Meg’s hourly salary is $7.75. Last week she worked a 30-hour week. How much did she earn?
$37.75
$180
$232.50
$275
Bob has 25tospendontheschoolfieldtrip.Afterpaying 14.00 for the cost of the field trip and $5.25 for lunch, how much will he have left?
$5.75
$12.75
$12.00
$18.50
Multiply 3 × 1/3 × 3/8.
1/8
1.25
4.12
4 3/11
Kaci works at a bread store. She has 8 1/4 pounds of dough. She is making .75 pound loaves. How many loaves will she be able to make?
A 22 loaves
B 11 loaves
C 2.75 loaves
D .75 loaves
If the GCF of two numbers is 9, both numbers must be a multiple of 9 because:
9 is the only common factor of both numbers.
Both numbers must be divisible by 9.
9 is a prime number.
Both numbers are odd.
Sam reads at a rate of 160 words per minute. Who reads at the same rate as Sam?
Molly
Braxter
Sarah
Damian
A 8-ounce bag of chocolate costs 4.08.An10−ouncebagofchocolatecosts 4.10. Which is the better deal?
8 ounces
They are equivalent
Neither
10 ounce
In 2015, the population of the United States was about 320 million people. About 22% of the total United States population is 14 years old or younger. About how many million people is that?
10
250
70
45
In 2015, the population of the United States was about 320 million people. About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities?
224 million
32 million
96 million
10 million
In 2015, the population of the United States was about 320 million people. Females make up about 51% of the total population of the United States. About how many males live here?
163 million
145 million
157 million
173 million
Which does not describe a ratio relationship between two quantities?
3 to 4
2:1
$5 per slice
$2.25
Which statement is false:
A ratio is a comparison of two quantities that uses division
A rate compares two quantities that have different units of measure.
Equivalent ratios are ratios that name a different, unequal ratio.
When the comparison is to one unit, the rate is called a unit rate.
Find the missing value in the proportion: 4/3 = z/24
32
72
8
18
Given 1 in = 2.54 cm, how many centimeters are in 5 inches?
7.62 cm
12.7 cm
5.08 cm
1.97 cm
What percent of the sign is red?
25%
50%
75%
100%
The phrase: “the product of 4 and x” represents which algebraic expression?
4 + x
4x
4 - x
4 ÷ x
Evaluate the expression 6 ÷ 2 + h, using the order of operations, when h = 1
A 2
B 3
C 4
D 5
In 1996 the population of Atlanta, Georgia was 400,727. In 2013, the population had grown by 47,114 people. What was the population of Atlanta, Georgia in 2013?
A 447,841
B 400,114
C 353,613
D 47,727
Write an expression for the table: Players: 14, 21, 28, □ Team: 2, 3, 4, n
14 ÷ n
7n
5 + n
35 - n
Taylor bought some jeans on sale. The number of jeans she bought is one-fifth the amount of money she spent. She bought 6 jeans. Find the amount of money Taylor spent.
$120
$83
$56
$30
Which expression is equivalent to 2(t + 4)?
t + 8
2t + 4
8 + 2t
t + 4
What inequality does this number line show?
n > 5
n < 5
5 ≤ n
5 ≥ n
At a frozen yogurt counter, the weight of a customer’s order determines the price. Which of the variables is independent and which is dependent?
w is independent, p is dependent
p is independent, w is dependent
both variables are independent
both variables are dependent
Solve for b. b + 7 > 8
b > 15
b > 1
b < 15
b < 1
A movie club sells DVDs for 16each.Theclubchargesashippingandhandlingchargeof 4 for an entire order. Which of the following expressions shows the total cost if you order n DVDs?
16n + 4
16 + 4n
16n - 4
4n + 16
If the area of the shaded triangle is 24 in², what is the value of a?
Not enough info
8
6
4
What is the area of the entire combined geometric figure?
Not enough info
48 in²
24 in²
56 in²
Lily is building a fence for her dog. She is trying to determine which figure would give her the largest area while keeping the cost of building materials the lowest. Which shape fence would be the cheapest to build based on the perimeter?
They are the same
Square
Triangle
Rectangle
What is the volume of a cube with a side length of 5.5 inches?
A 166.375 in³
B 30.25 in²
C 166.375 in²
D 30.25 in³
What is the volume of this triangular prism?
4 ft³
8 ft³
2 ft³
6 ft³
Use the information below for questions 6-7. Point Q = (2,1); Point U = (2, -4.5). What quadrant is point Q in?
A First
B Second
C Third
D Fourth
Use the information below for questions 6-7. Point Q = (2,1); Point U = (2, -4.5). Find the distance between point Q and point U.
A 4.5
B 2
C 0
D 5.5
Which geometric shape will this net make?
A Triangular Prism
B Rectangular Prism
C Cube
D Cone
What is the surface area of the geometric figure formed from the net above?
A 16 units²
B 32 units³
C 40 units²
D 64 units³
What are all the possible dimensions of a case that perfectly fits 25 boxes, each measuring 1 in³?
1 in × 1 in × 25 in, 1 in × 5 in × 5 in, 5 in × 5 in × 1 in, 25 in × 1 in × 1 in
1 in × 2 in × 12 in, 2 in × 2 in × 6 in, 3 in × 3 in × 3 in
1 in × 1 in × 24 in, 2 in × 2 in × 7 in, 5 in × 2 in × 2 in
1 in × 5 in × 6 in, 2 in × 2 in × 5 in, 5 in × 5 in × 2 in
Jon questioned the first 22 students to arrive at the school. What type of sampling technique does this represent?
observational
representative
biased
random
Which test has the most variation?
Not enough info
They are equal
Test B
Test A
What is the interquartile range of test A?
35
25
40
45
What is the median of test A?
0
20
30
40
What is the range of test B?
35
50
25
40
What is not true regarding a bar graph and a histogram?
bar graphs are usually used to display "categorical data"
histograms are usually used to present "continuous data"
The way the graphs are drawn—histograms are never drawn with spaces between the bars
it is more appropriate to talk about the skewness of a bar graph than a histogram
How many students checked out books more than 3 times?
A. 20
B. 29
C. 8
D. 9
What was the sample size?
6
7
10
37
Rounded to the nearest tenth, what was the mean number of times books were checked out during the term?
1.1
2.5
3.6
5.4
Last year, the school made 800 atits cookie sale. This year it made 1,200. Suppose you show these amounts on a bar graph, but you start the vertical scale at 600 instead of 0. Exactly how many times taller will the second bar be than the first?
1.5 times
2 times
3 times
4 times
Choose the best answer. 1. Find the difference 1 – (–10).
A –11
B –9
C 9
D 11
Order the integers from greatest to least: 4, –3, 0, 8, –5.
–5, –3, 0, 4, 8
–3, –5, 0, 4, 8
8, 4, 0, –3, –5
0, –3, 4, –5, 8
Find the absolute value |–4|.
A –4
B 0
C -2
D 4
At 7 A.M. the temperature was –2 °C. In the afternoon, the temperature was 11 °C. What was the change of temperature during the day?
A –13 °C
B –6 °C
C 11 °C
D 13 °C
What inequality does this number line show?
A x > 2
B 2 > x
C x ≥ 2
D x ≤ 2
Which point is in Quadrant IV?
A (3, -1)
B (-5, 2)
C (-2, -3)
D (5, 3)
Which sign makes the statement true? -1 1/5 __ -3 2/5
A >
B ≤
C ≥
D =
Which set of coordinates represent the rectangle EFGH after a reflection over the x-axis?
(–3, 0); (–1, 0); (–1, 1); (–3, 1)
(–3, 0); (–1, 0); (–1, –1); (–3, –1)
(3, 0); (2, 0); (–1, 1); (–3, 1)
(3, 0); (1, 0); (1, 1); (3, 1)
What is the horizontal distance between the coordinates F (–1, 0) and E (–3, 0)?
A 2
B 4
C 0
D -2
A number line might help you solve this problem by:
Showing the position of numbers visually
Making the problem harder to understand
Removing numbers from the problem
Ignoring the order of numbers
Should 0 be on your number line?
Yes, because it is the starting point of the number line.
No, because it is not needed on the number line.
On a number line representing the floors of a building, which of the following correctly shows the positions of the 3rd floor, the main lobby, and the fourth underground storage level?
3, 0, -4
2, 0, -3
3, 1, -4
2, 1, -5
How many floors does she have to go to get back to the main lobby on the first floor?
1
2
3
4
