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Worksheets

Wilson GMAS PREP 6th grade

Total questions: 80

Worksheet time: 3hrs 43mins

Name
Class
Date
1.
The ratio 5:15 simplifies to...
a)
1:3
b)
3:1
c)
1:5
d)
3:5
2.
10 students want hotdogs for lunch and 26 want hamburgers.  What is the ratio of the number of students who want hot dogs to the number of students who want hamburgers?
a)
26:10
b)
10:26
c)
10:36
d)
25:36
3.
Simplify the ratio 12:3
a)
1:2
b)
6:1
c)
4:1
d)
1:4
4.
There are 13 male teachers and 5 female teachers at Margo's School.  What is the ratio of female teachers to male teachers?
a)
5:13
b)
13:5
c)
18:10
d)
26:5
5.
A bag contains marbles: 5 blue and 10 green. How many green marbles are there for every blue marble?
a)
1
b)
2
c)
5
d)
10
6.
Find the missing number:
2 : 5 = ? : 20
a)
8
b)
10
c)
25
d)
6
7.
What is the ratio of circles to squares?
a)
3:1
b)
2:1
c)
1:2
d)
5:3
8.
What is the ratio of bananas to apples?
a)
5 : 3
b)
4 : 6
c)
2 : 1
d)
3 : 5
9.
Use the table to express the ratio in simplest form: Oak To Ash
a)
10/18
b)
10/12
c)
5/6
d)
5/9
10.
Solve the proportion.
a)
18
b)
3
c)
2
d)
9
11.
Solve the proportion.
a)
60
b)
15
c)
3
d)
12
12.
Solve the proportion.
a)
84
b)
21
c)
11
d)
5
13.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
14.
Enter the missing numbers to create equivalent ratios. 
1 : 3
6 : 18
2 : _
4 : _
a)
4 & 8
b)
4 & 12
c)
6 & 12
d)
6 & 8
15.
The cookie jar has six chocolate chip cookies and five oatmeal cookies. What is the ratio of oatmeal to chocolate chip cookies?
a)
6:5
b)
5:6
c)
6:11
d)
6:11
16.

Give an example of a UNIT RATE.

a)

David travels 110 miles in 5 hours

b)

110/5 = 22/1

c)

David travels 22 miles in 1 hours

d)

Hearts/ Stars = 4:3

17.

What is a RATIO?

a)

A product of 2 quantities

b)

Comparison of 2 quantities written as a:b or a/b or a to b

c)

An integer

18.

Write equivalent ratios for 3:5

a)

5:3

b)

6:10

c)

10:6

d)

30:50

e)

50:30

19.
Change 5/8 into a decimal. 
a)
1.6
b)
5.8
c)
.58
d)
.625
20.
Which of the following expressions represents a positive number? 
a)
-4.5 - (-5)
b)
-1/8 + (-5/8)
c)
6.1 + (-6.2)
d)
-3/4 - (-2/3)
21.
A dozen tamales cost $8.04. What is the cost of each tamale?
a)
$0.67
b)
$0.96
c)
$6.70
d)
$8.16
22.
-15 + 15 =
a)
30
b)
0
c)
-30
23.
_____ +  (-7.28) = positive number
Fill in the blank.
a)
7.25
b)
7.8
c)
7.2
d)
7.24
24.

To which category does 1/2 belong?

a)

Integer & Rational

b)

Rational #

c)

Integer Only

d)

Whole # Only

25.

To which category does the number -3 belong?

a)

Whole # Only

b)

Integer Only

c)

Rational # Only

d)

Integer & Rational

26.

To which category does the number 3 belong?

a)

All of These

b)

Integer Only

c)

Rational # Only

d)

Whole # Only

27.

To which category does -3.4 belong?

a)

Whole # Only

b)

Integer Only

c)

Rational # Only

d)

Integer & Rational # Only

28.

To which category does -2/5 belong?

a)

Rational # Only

b)

Integer Only

c)

Whole # Only

d)

Integer & Rational

29.

To which category does the number 4 belong?

a)

Rational # Only

b)

Whole # Only

c)

Integer Only

d)

All of These

30.

To which category does the number 8 belong?

a)

Whole # Only

b)

All of These

c)

Rational # Only

d)

Integer Only

31.
What is 12 ⋅ 12 ⋅  12 ⋅ 12 written as a exponent
a)
124
b)
12  ⋅  4
c)
412
32.
What is 43
a)
12
b)
64
c)
81
33.

Use the distributive property to simplify 2(x + 4)

a)

2x + 4

b)

2x + 8

c)

10x

d)

x2 + 8

34.

Evaluate using correct order of operations

12 - 2 ⋅ 4

a)

4

b)

46

c)

40

35.
Which phrase matches the expression
y  -  6
a)
6 decreased by a number, y
b)
A number, y, decreased by 6
c)
6 minus a number, y
36.

Which expression represents the phrase "eight fewer than the product of a number x, and four"?

a)

8 - 4x

b)

4x - 8

c)

x + 4 - 8

d)

4x ÷ 8

37.

Use the distributive property to simplify the expression 2x + 3(x - 1)

a)

5x - 3

b)

5x - 1

c)

2x

d)

5x + 3

38.
What is a word phrase for t - 8
a)
the difference of t and 8
b)
the product of t and 8
c)
the quotient of t and 8
d)
the difference of 8 and t
39.
Evaluate 15 - m  for m = 7
a)
22
b)
8
c)
2
d)
9
40.
What is an equivalent way to express 3y? 
a)
y * y * y
b)
y + y + y 
c)
y3
d)
3 + y
41.
Lindsay had $40. She works at the grocery store and earns $15 each day.
Which equation shows the relationship between Lindsay's savings (y) and the number of days Lindsay works (x)?
a)
y = 15x + 40
b)
x = 15y + 40
c)
y = 40x + 15
d)
y = 40 - 15x
42.
Evaluate 6p - 3  when p = 2
a)
5
b)
15
c)
9
d)
12
43.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
44.
Jenna wants to buy a new pair of boots that cost $108.00.  She earns $12 per week babysitting her little sister in the afternoons.  How many weeks will it take Jenna to save enough money to buy the boots?
a)
8 weeks 
b)
9 weeks
c)
10 weeks
d)
12 weeks
45.
Joe is training for a race in 30 days.  He needs to run a total of 135 miles.  How many miles will Joe need to run each day to be ready for the race? 
a)
0.22 miles per day
b)
3.5 miles per day 
c)
4.25 miles per day
d)
4.5 miles per day 
46.
Which algebraic expression matches the following phrase?  
5 times the sum of x and 3
a)
5x + 3
b)
5  + x + 3
c)
3(x+5)
d)
5(x+3)
47.
Identify the constants in the following expression.
2x – 5 + 6.5x – 3.2 +8 +9x
a)
2, 5, 6.5, 3.2, 8, 9 
b)
-5, -3.2, 8
c)
2, -5, 6.5, -3.2, 8, 9 
d)
5, 3.2, 8
48.
Identify the coefficients in the following expression.
2x – 5 + 6.5x – 3.2 +8 +9x
a)
2, 5, 6.5, 3.2, 8, 9 
b)
2, 6.5, 9 
c)
2, -5, 6.5, -3.2, 8, 9 
d)
-5, -3.2, 8
49.
$15 more than Pam spent
a)
p-15
b)
p/15
c)
p+15
d)
15+p
50.
A number to the power of 9
a)
n9
b)
nxnxnxnxnxnxnxnxn
c)
9n
d)
9
51.
Eleven more than Brittany's age is 34
a)
11-B=34
b)
B+11=34
c)
B-11=34
d)
34-11=B
52.

Name the shape.

a)

parallelogram

b)

square

c)

rhombus

d)

rectangle

53.

Name the shape.

a)

parallelogram

b)

square

c)

rhombus

d)

rectangle

54.

What are the coordinates for point A?

a)

(1,1)

b)

(1,3)

c)

(4,5)

55.

What are the coordinates for point B?

a)

(1,1)

b)

(1,3)

c)

(4,5)

56.
Which of the following temperatures is the COLDEST?
P: -13
Q: 59
R: -15
S: 32
a)
P
b)
Q
c)
R
d)
S
57.
Where would -1 be on a number line?
a)
To the right of 0
b)
Beside 1
c)
One to the left of 0
d)
Two to the left of 0
58.
Which is true?
a)
2 > -2
b)
2 < -4
c)
-2 < -4
d)
-4 > 4
59.
1/4 of the eggs in an egg carton are cracked. What percent of the eggs are cracked?
a)
66%
b)
33%
c)
30%
d)
25%
60.

During a basketball game, Kylie made 15 out of 25 shots successfully. What was her percent of success?

a)

10%

b)

40%

c)

50%

d)

60%

e)

70%

61.
Simplify:
10 + 2(4 + w)
a)
2w + 18
b)
w + 18
c)
w + 16
d)
2w + 14
62.

What is the outlier in this data set?


101, 98, 95, 40, 105, 95

a)

101

b)

40

c)

95

d)

98

63.

What is the mode?


8, 7, 9, 6, 7, 10

a)

3

b)

9.5

c)

7

d)

No mode

64.

What is the mean without the outlier?


$50, $45, $47, $51, $10, $57

a)

45

b)

$50

c)

41.7

d)

47

65.

If the data is skewed left then...

a)

most of the data is on the left

b)

most of the data is on the right

c)

the data is symmetric

66.

What is the median of the data?

(Order from least to greatest)


$90, $87, $79, $94, $95

a)

89

b)

92

c)

90

d)

88.5

67.

To find the ________________ order the numbers from least to greatest and find the middle number.

a)

mean

b)

median

c)

mode

d)

range

68.

To find the ______________ subtract the smallest number from the largest number

a)

mean

b)

median

c)

mode

d)

range

69.

The dot plot is .....

a)

skewed left

b)

skewed right

c)

symmetric

70.

Which interval has the most trees?

a)

150-200

b)

250-300

c)

300-350

d)

100-150

71.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
72.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
73.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
74.
Find the mean of these numbers:
5,11, 2,12, 4, 2
a)
4.1
b)
6
c)
4.5
d)
4
75.
Find the median of these numbers:
4, 2, 7, 4, 3
a)
2
b)
5
c)
7
d)
4
76.
A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location? 
a)
-300
b)
-1300
c)
-3300
d)
300
77.
What is the GCF of 12 and 16? 
a)
4
b)
8
c)
12
d)
2
78.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
79.
What is the absolute value of | -7 |?
a)
-7
b)
7
c)
-7 and 7
80.

Which statement about the opposite of a number is correct?

a)

The opposite of 5 is 1/5.

b)

The opposite of 0 is 0.

c)

The opposite of -5 is 0.

d)

The opposite of -5 is 1.

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