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Math SBAC Practice 6th Grade Full

Total questions: 87

Worksheet time: 7hrs 49mins

Name
Class
Date
1.
Which axis runs vertically?
a)
x
b)
Y
2.
Which axis runs horizontally?
a)
x
b)
y
3.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
4.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
5.

In the ordered pair (5, 10), which number is the x-coordinate?

a)

5

b)

10

c)

neither

d)

both

6.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
7.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
8.
What is Coordinate N?
a)
(7,6)
b)
(5,5)
c)
(6,6)
d)
(7,7)
9.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
10.
Points G, H, and I are plotted on the coordinate grid.  How many units are between points G and H?
a)
9 units
b)
14 units
c)
13 units
d)
12 units
11.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

6 units

d)

8 units

12.

Which list of coordinates make a square

a)

(-3,1), (4, 6), (-3, 6), (4, 1)

b)

(-3, 1), (1, -3), (4, 6), (6, 4)

c)

(-3,1), (1, 1), (1, 3), (-3, 3)

13.
Caroline had 1/2 of a bag of donuts. She wants to split it evenly between herself and 3 friends. How much of the bag will each friend get? 
a)
6
b)
1/6
c)
8
d)
1/8
14.

The bakery makes 6 pies. Each slice is 1/8 of the whole pie. How many slices are there?

a)

1/48 slices

b)

48 slices

c)

6/8 slices

15.
A container of 8 TVs weighed one-third of a ton.  If every TV weighed the same amount, how heavy was each TV?
a)
24
b)
1/32
c)
32
d)
1/24
16.
A farmer was dividing up his one-half of an acre of land between his 4 children.  since each child got the same amount of land, what fraction of the acre did each get?
a)
8
b)
1/4
c)
1/2
d)
1/8
17.

X > -1.5

Select all correct answers

a)

1.5

b)

0

c)

1

d)

-2

18.

X < 0.5

Select all correct answers

a)

0.5

b)

0

c)

1

d)

-2

19.

Consider the expression


7(10a + 3b)


Use the distributive property to simplify to show exactly two terms

a)

70a + 21b

b)

70a + 3b

c)

7(13ab)

d)

10a + 21b

20.

Consider the expression


8(5 + w)


Use the distributive property to simplify to show exactly two terms

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

21.

Consider the expression


11(9 + d)


Use the distributive property to simplify to show exactly two terms

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

22.

Consider the expression


56x + 21y


Use the distributive property to take out the common factor(s)

a)

7(8x + 3y)

b)

7(8x + 21y)

c)

6(7x + 4y)

d)

(8+3)(x+y)

23.
735÷5=
a)
67r5
b)
9r2
c)
147
d)
123
24.
810÷3=
a)
270
b)
250
c)
28r1
d)
32r2
25.
Write an Equation.
Lee is 32 years younger than his mother and his mother is 67 years old. How old is Lee?
a)
x + 32 = 67
b)
x - 32 = 67
c)
32x = 67
d)
x/32 = 67
26.
Write an Equation.
Devery is going on a rafting trip. She has rafted 12 miles and has 16 miles left to go. How many miles long is the trip?
a)
x − 12 = 16
b)
12x = 16
c)
x/12 = 16
d)
x + 12 = 16
27.

Write an Equation.

Paul could play 16 songs on his guitar. He can now play 23 songs.

a)

S + 16 = 23

b)

16 + 23 = S

c)

23 - 16 = S

d)

16 - S = 23

28.

Select all the equivalent expressions for


3(x - 2y)

a)

3x - 6y

b)

3(x) - 3(2y)

c)

3(x) + 3(-2y)

d)

3x + 2y

29.

Select all the equivalent expressions for


4(5x + 2y)

a)

9x + 6y

b)

4(5x) + 4(2y)

c)

20x + 8y

d)

20x + 2y

30.
What is the missing number in the ratio table?
a)
72
b)
85
c)
76
d)
90
31.
What is the missing number in the ratio table?
a)
21
b)
24
c)
27
d)
25
32.

there was 8 oz. of lemon juice in the 2 gallon carton of lemonade. what is a ratio that represents this.

select all correct answers

a)

8 to 2

b)

4 : 1

c)

2 / 3

d)

10 to 8

33.

If 5 cupcakes cost $6.25, what is a simplified ratio that represents this relationship?

a)

1 to 1.25

b)

5 to 6.25

c)

1 to 125

d)

5 to 625

34.

If 2 songs cost $2.58, how much does 7 songs cost?

a)

$9.03

b)

$18.06

c)

$15.48

d)

$10.32

35.

If 2 songs cost $2.58, how many songs cost $5.16?

a)

4

b)

5

c)

6

d)

3

36.

A quiz contains history and geography questions. The ratio of history questions to total questions is 4 : 5.

Select all statements that must be true

a)

The ratio of total questions to history questions is 5 : 4

b)

The ratio of history questions to geography questions is 4 : 1

c)

There is 1 more history question than geography questions

d)

there are only 5 questions on the quiz

37.

Sam and Yvonne each build model cars. Altogether, they have built 42 models cars. The ratio of cars Sam has built to cars Yvonne has built is represented by the tape diagram.


Enter the number of cars represented by each square.

a)

7

b)

6

c)

1

d)

42

38.

Toni made a table that shows a relationship between the total number of apples and the number of boxes of apples. Each box has the same number of apples. Toni made an error in one row. Which row did he make a mistake?1

a)

1

b)

2

c)

3

d)

4

e)

5

39.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
40.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Line Plot
41.

What list of data is represented in this histogram.

select all possible answers

a)

0, 5, 39, 29, 0, 14, 23, 25, 22

b)

0, 5, 39, 29, 10, 14, 23, 25, 22

c)

0, 5, 39, 29, 0, 14, 23, 25, 30

d)

1, 5, 39, 29, 5, 14, 23, 25, 22

42.

Allison bought a $500 racing bicycle, $150 racing outfit and a $60 helmet with the money she has saved with her summer job.

if :

  • the job pays her $8 an hour
  • she always works 20 hours a week
  • she worked 6 weeks during her summer vacation


How much money did she have left after buying the bicycle?

a)

$260

b)

$200

c)

$250

d)

$130

43.
What is the formula for area of a triangle?
a)
A = bh
b)
A = bh/2
c)
A = b + h
d)
A = b - h
44.
What is the area of this triangle?
a)
12 sq. cm.
b)
6 sq. cm.
c)
12 cm
d)
6 cm
45.

What is the height of triangle XYZ?

a)

24 ft

b)

12 ft

c)

24 ft2

d)

12 ft2

46.

What is the BASE of triangle DEF?

a)

15 yd2

b)

9 yd2

c)

9 yd

d)

15 yd

47.

A lady needs to have her garden fenced. The garden is a triangle and has an area of 12 square feet and one side is 6 feet across. If the hypotenuse of the triangle is along the side of the house, how much fencing is needed to cover the other two sides of the triangular garden section.

a)

10 feet

b)

4 feet

c)

6 feet

d)

8 feet

48.

There is no number greater than 0.59 with a 5 in the tenths place.

Pick an answer that proves this statement false.

a)

0.591

b)

0.450

c)

0.555

d)

0.605

49.

Select ALL equations that have n = 6 as a solution.

a)

2 + n = 6

b)

n + 6 = 12

c)

4 * n = 24

d)

n/3 = 18

50.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
51.
Bob has a rectangular prism gift box what it the volume of bobs gift box?
a)
64in3
b)
60in3
c)
240in3
d)
24in3
52.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
53.
What is 10% of 275
a)
27
b)
27.05
c)
2750
d)
27.5
54.
What is 5% of 50
a)
5
b)
2.5
c)
2
d)
3
55.

Convert 76.4% to decimal

a)

7.64

b)

.764

c)

76.4

d)

764.

56.

Covert 205% to decimals

a)

2.05

b)

20.5

c)

.0205

d)

.205

57.

Convert .45 to percentages

a)

4.5%

b)

0.45%

c)

45%

d)

450%

58.
Which is bigger:
25% of 200 
OR
20 % of 250
a)
25% of 200
b)
20% of 250
c)
They are the same
59.
20% of a number is 60, what is the number?
a)
300
b)
400
c)
500
d)
600
60.
20% of a number is 40. What is the number?
a)
200
b)
150
c)
300
d)
250
61.

You are told to make a box with the following requirements:


1) The volume must be 243 cubic inches

2) the height of the box must be 3 inches

3) the width and length of the box must be equal


What is the length or width of the box?


hint: use the volume of a rectangular prism equation to solve for the missing width and length. V = WLH

a)

9

b)

40.5

c)

8

d)

40

62.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
63.
What's another way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
64.

If the absolute value of x is greater than the absolute value of y, then x is greater than y.

a)

always true

b)

sometimes true

c)

always false

65.

If the absolute value of x is greater than the absolute value of y, then x is greater than y.

Select the answer that proves this true

a)

x= - 15, y = 14

b)

x = -1/3 , y = -1/2

c)

x = - 0.9, y = - 0.8

66.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
67.
The absolute value of |26| is?
a)
26
b)
- 26
68.
What is a the meaning for "median"?
a)
fair share
b)
middle
c)
repeats the most
d)
variation
69.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
70.
If there is an even number of data in the data set how do you find the median?
a)
order the data and find the middle value
b)
order the data add the 2 middle values and divide by 2
71.
Calculate the interquartile range of the following data17, 18, 18, 19, 20, 21, 21, 23, 25
a)
3
b)
4
c)
5
d)
8
72.

What is the correct of order of steps for finding the interquartile range

a)

1) Order the data from least to greatest

2) Find the median

3) Calculate the median of both the lower and upper half of the data 4) Find the difference between the upper and lower medians

b)

1) Calculate the median of both the lower and upper half of the data

2) Find the difference between the upper and lower medians

3) Order the data from least to greatest

4) Find the median

c)

1) Find the median

2) Find the difference between the upper and lower medians

3) Calculate the median of both the lower and upper half of the data

4) Order the data from least to greatest

73.
John kicks 20 soccer balls per 5 minutes.  How many soccer balls does he kick per 1 minute?
a)
5
b)
20
c)
4
d)
1
74.
Jorge’s printer can print 24 pages in 15 minutes. How many pages can it print in 60 minutes?
a)
96
104
b)
96
c)
4
d)
2.5
75.
Billy did 75 math problems in 20 minutes.  At that rate, how many can he do in one hour?
a)
150
b)
225
c)
300
d)
3.75
76.

Mrs. Salomon ran 57 miles in 6 hours. What was her miles per hour?

a)

8

b)

8 and 1/2

c)

9

d)

9 and 1/2

77.

A bus usually travels 36 miles in 45 minutes.

If the bus continues to travel at the same rate, how far would the bus travel after 60 minutes from leaving the bus station?

a)

48

b)

36

c)

40

d)

20

78.

A factory makes 1,200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. What is the fewest number of workdays needed to make 12,600 shirts?

a)

7

b)

8

c)

6

d)

9

79.

Greg planted tulips and lilies in a field with a width of 5.5 meters. The field of flowers is shown.


Identify each equation that could be used to find the area, in square meters, of the field of flowers for any length x, in meters.

a)

A = x2(5.5)

b)

A = 2x + 5.5

c)

A = 5.5x + 11

d)

A = 5.5(x + 2)

e)

A = x + 2 + 5.5

80.
Which is greater?
a)
3/4
b)
3/6
81.
5/9 ___ 2/6
a)
>
b)
<
c)
=
82.
3/5 ____ 1/2
a)
>
b)
<
c)
=
83.
2/5___6/15
a)
<
b)
>
c)
=
84.
A survey showed the 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
a)
soccer 
b)
baseball 
85.

select all expressions that are equivalent to 45

a)

8 * 42 * 2 * 4

b)

4 * 42 * 42

c)

42 * 43

d)

4 * 4 * 4 * 4 * 4 * 4

86.

54 is the same as... (select ALL that apply)

a)

20

b)

625

c)

252

d)

9

87.

Find the equivalent(s) to 34

a)

27

b)

92

c)

81

d)

12

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