Download 6th Grade Math Review #1 - Richmond Public Schools

Spring 2013 MSM1 CCPS SOL Review Items
6.1
The student will describe and compare data, using ratios, and will use appropriate notations, such as
a
b , a to b, and a:b.
Circle all the pictures that have a ratio of 4:3 for the number of circles to the number of squares.
There are 80 red marbles and 50 green marbles in the bag. Circle all
ratios that represent the number of green marbles to red marbles.
6.2
6.2a
8:5
50 to 80
8 to 5
8
5
50:80
5:8
5
8
80 to 50
The student will
a) investigate and describe fractions, decimals, and percents as ratios;
b) identify a given fraction, decimal, or percent from a representation;
c) demonstrate equivalent relationships among fractions, decimals, and percents; and
d) compare and order fractions, decimals, and percents.
Which ratio is equivalent to 3.6?
A.
6
10
B.
6.2b
36
100
C.
18
5
6
100
What percent of the triangles is shaded?
A. 4%
C. 25%
B.
6.2c
D. 3
Circle all of the numbers below that are equivalent to
16%
D.
40%
1
.
40
0.5%
5
100
.25
2.5%
0.025
2
80
Spring 2013 MSM1 CCPS SOL Review Items
6.2d
0.003
0.05
Select all of the numbers that lie between 0.003 and 0.05 and plot them on the number line.
0.12
0.31
6.3
0.04
0.007
0.013
0.002
The student will
a) identify and represent integers;
b) order and compare integers; and
c) identify and describe absolute value of integers.
6.3a
Circle each number that is NOT an integer.
26
39
3
-17
0
1
2
8
24
6.3b
Circle each number that is between 11 and -3
5
-4
-1
12
-10
-2
6.3c
Circle each number that has an absolute value of 8.
0
1
8
8
1
-8
8
1
Spring 2013 MSM1 CCPS SOL Review Items
6.4
The student will demonstrate multiple representations of multiplication and division of fractions.
Which product is demonstrated by the shaded model?
A.
3
25
x
2
25
B.
12
18
x
8
10
C.
3
5
x
4
5
D.
12
15
x
4
5
Each row represents 1 whole. How many three eighths are in six? ______
= 1 whole
This figure represents 1 whole divided into three parts.
How many two-thirds are in 7?
______
Spring 2013 MSM1 CCPS SOL Review Items
6.5
The student will investigate and describe concepts of positive exponents and perfect squares.
Which of these is equivalent to 8 x 8 x 8?
38
A. 3 x 24
C.
B. 8 x 24
D. 83
Which is a perfect square between 49 and 121
A. 36
B. 50
6.6
C. 99
D. 100
The student will
a) multiply and divide fractions and mixed numbers; and
b) estimate solutions and then solve single-step and multistep practical problems
involving addition, subtraction, multiplication, and division of fractions.
6.6.a
One batch of Dylan’s pancake recipe take 1
3
cup of milk. If Dylan makes three batches of his
4
pancake recipe, how many cups of milk will he need?
A.
1
5 cups
4
C.
3
1
cups
2
B.
3
3
cups
4
D.
2
3
cups
4
6.6b
April made 40 cookies for the upcoming bake sale. She made
1
3
of the cookies chocolate chip and of
5
4
them peanut butter. How many chocolate chip and peanut butter cookies are there all together?
A. 18
C. 27
B.
D. 34
24
Spring 2013 MSM1 CCPS SOL Review Items
6.7
The student will solve single-step and multistep practical problems involving addition,
subtraction, multiplication, and division of decimals.
The table shows the prices for video games at 4 different stores.
Store
Game City
Game Time
Game World
Game Craze
Number
of Video
games
3
2
1
4
Price
$35.99
$25.99
$15.99
$40.99
Which store has the lowest price per video game?
A
Game City
B
Game Time
C
Game World
D
Game Craze
The table represents the items Cailey purchased at a local department store.
Item
Jacket
Shoes
Pants
Shirts
Number of
Items
1
2
2
3
Cost Per Item
$35.99
$21.99
$33.00
$17.28
What is the total amount Cailey spent before tax? _______
Spring 2013 MSM1 CCPS SOL Review Items
6.8
The student will evaluate whole number numerical expressions, using the order of operations.
49 ÷ 7 (7) = ____
10  30  5
1 ?
28  7  2
A. 0
B. 1
C. 2
D. 4
When simplifying the following using order of operations, which operation should be performed first?
8–4÷2+35
A.
B.
C.
D.
6.9
8–4
4÷2
2+3
35
The student will make ballpark comparisons between measurements in the U.S.
Customary System of measurement and measurements in the metric system.
The width of the window is 135 cm. Which measurement is closest to the width of the window?
1
feet
2
13 feet
A. 4
B.
C. 135 inches
D.
30 inches
Steve has lost 6 kilograms of weight while dieting. About how many pounds is this?
A.
B.
C.
D.
36 pounds
6 pounds
3 pounds
12 pounds
Spring 2013 MSM1 CCPS SOL Review Items
6.10
6.10a
The student will
a) define π (pi) as the ratio of the circumference of a circle to its diameter;
b) solve practical problems involving circumference and area of a circle, given the
diameter or radius;
c) solve practical problems involving area and perimeter; and
d) describe and determine the volume and surface area of a rectangular prism.
The diameter of a circular pond is 20.4 meters. The circumference is approximately 64 meters.
Which of these could be used to estimate the value of π?
A.
B.
6.10b
d
=
c

c
=d
C.
D.
c
=
d
d

=c
Cindy purchased a circular pool cover with a diameter of 12 feet. Rounded to the nearest whole
number, which pool area would the cover best fit over?
6.10c
A. 19 𝑓𝑡 2
C. 113 𝑓𝑡 2
B. 38 𝑓𝑡 2
D.
452 𝑓𝑡 2
Sam is building a rectangular fence around his garden. The perimeter of the fence is 36 feet.
Circle the measurements that could be the two dimensions of the fence.
6.10d
5 feet
8 feet
13 feet
6 feet
11 feet
18 feet
The measurements of a rectangular prism are shown below.
4 in.
4 in.
7 in.
What is the total surface area of the prism?
A. 15 𝑖𝑛2
C. 112 𝑖𝑛2
B. 72 𝑖𝑛2
D. 144 𝑖𝑛2
Spring 2013 MSM1 CCPS SOL Review Items
6.11
6.11a
The student will
a) identify the coordinates of a point in a coordinate plane; and
b) graph ordered pairs in a coordinate plane.
Which of the following is the location of the point (-5, 0).
A.
B.
C.
D.
6.11b
In Quadrant III
In Quadrant IV
On the x-axis
On the y-axis
If point n is in quadrant IV and point p is on the y-axis use the given numbers to create ordered
pairs for points n and p.
n = (_____ , _____)
6.12
p = (_____ , _____)
-2
0
2
-3
3
6
The student will determine congruence of segments, angles, and polygons.
Figures CMJXT and PDNER are congruent
Which line segment in figure PDNER must be congruent to JX ?
A.
NE
C. PR
B.
CT
D. DP
Spring 2013 MSM1 CCPS SOL Review Items
Circle all the shapes that are congruent to figure A.
A
4 cm
8 cm
4 cm
4 cm
8 cm
8 cm
6.13
8 cm
The student will describe and identify properties of quadrilaterals.
Circle all of the attributes below that are true of a rhombus?
All angles are 90 o
Opposite sides are parallel
All angles are 45
All sides are congruent
Opposite angles are congruent
Diagonals are bisected
Circle each quadrilateral for which the following statement is always true:
Opposite angles and opposite sides are congruent.
Kite
Square
Rhombus
Rectangle
Parallelogram
Trapezoid
Spring 2013 MSM1 CCPS SOL Review Items
6.14
The student, given a problem situation, will
a) construct circle graphs;
b) draw conclusions and make predictions, using circle graphs; and
c) compare and contrast graphs that present information from the same data set
6.14a
George surveyed 250 people at the baseball game to find out what ball park snack they like best. The
results are shown in the table below.
Favorite Ball Park Snack
Snack
Percentage
of People
Nachos
35%
Cotton Candy
12%
Hot Dog
40%
Popcorn
13%
Which circle graph best displays the data in the table?
A.
C.
B.
D.
Spring 2013 MSM1 CCPS SOL Review Items
6.14b
Middle School Voting
Harvey
12%
Ron
7%
Betsy
20%
Lisa
27%
Joseph
9%
Nigel
25%
The circle graph above represents the results of the 8th grade student body president elections. If 500
students voted, how many more students voted for Lisa than for Harvey?
_________
Spring 2013 MSM1 CCPS SOL Review Items
6.14c
The students at Grace Academy voted for a new school mascot. John made this circle graph
to show the results of the election.
Mandy made a bar graph to show the same data. Which of the bar graphs could be Mandy’s
bar graph?
A.
B.
C.
D.
Spring 2013 MSM1 CCPS SOL Review Items
6.15
The student will
a) describe mean as balance point; and
b) decide which measure of center is appropriate for a given purpose.
6.15a
Look at the data on the following line plots. Which set of data has 9 as its balance point?
A.
B.
C.
D.
6.15b
Mr. Ross’s class took a biology test last week. The scores received were 84, 97, 85, 89, 90, 82,
25, 87, 95, 93, and 88. Which would be the best measure of center for these scores?
A.
B.
C.
D.
range
median
mode
mean
Spring 2013 MSM1 CCPS SOL Review Items
6.16
6.16a
The student will
a) compare and contrast dependent and independent events; and
b) determine probabilities for dependent and independent events.
Which of the following situations describes two independent events?
A.
B.
C.
D.
6.16b
drawing one card from a deck, then drawing a second without replacement
pulling three pieces of candy from a bag, one at a time
choosing seven numbers from 0-9, which cannot be repeated
tossing a coin and rolling a die
A sack contains 3 blue marbles, 2 white marbles, and 4 yellow marbles. A marble is chosen and
then put back in the sack, and then another marble is chosen. What is the probability that both
marbles chosen are blue? Write your answer as a fraction in simplest terms.
_______
6.17
The student will identify and extend geometric and arithmetic sequences.
The first four terms of a sequence are shown: 120, 60, 30, 15
This sequence is a –
A.
B.
C.
D.
A geometric sequence with a common ratio of 2.
An arithmetic sequence with a common ratio of ½.
A geometric sequence with a common ratio of ½.
An arithmetic sequence with a common ratio of 2
Put the letter of each sequence next to the correct heading.
Geometric _________
Arithmetic ____________
A. 2, 4, 6, 8
B. 1024, 256, 64, 16
C. 4, 12, 36, 108
D. 1, 4, 9, 16
E. 6, 10, 14, 18, 22
F. 7, 8, 6, 7, 5
Neither _____________
Spring 2013 MSM1 CCPS SOL Review Items
6.18
The student will solve one-step linear equations in one variable involving whole number
coefficients and positive rational solutions.
What is the value of n when
4=
n
4
________
Which of the following could be used to solve the equation?
6y = 36
A.
B.
C.
D.
6.19
Multiply both sides of the equation by 6
Add 6 to both sides of the equation
Divide both sides of the equation by 6
Divide both sides of the equation by 36
The student will investigate and recognize
a) the identity properties for addition and multiplication;
b) the multiplicative property of zero; and
c) the inverse property for multiplication.
6.19abc Write the letter of the equation beside the property it represents.
A. 0 • (2 + 7) = 0
2 5
B. 3 + ( • ) = 4
5 2
Identity Property of Addition ______
Identity Property of Multiplication ______
Multiplicative Property of Zero ______
Inverse Property for Multiplication ______
1
8
C. (  1)  2 
1
2
8
D. 6 + 0 = 6
Spring 2013 MSM1 CCPS SOL Review Items
6.20
The student will graph inequalities on a number line.
Choose the correct inequality displayed on the number line below.
A.
B.
C.
D.
4≥n
4≤n
n>4
4>n
Which number below displays -1 > x?
A.
B.
C.
D.