WorksheetsMath 6 Extended Quarter 1 Benchmark Review
Total questions: 97
Worksheet time: 6hrs 4mins
Name
Class
Date
1.
What is a Ratio?
a)
Is a comparison of two quantities
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one
d)
Two decimals that can be multiplied
2.
3 ways to write a ratio is.....
a)
read, write, demonstration
b)
to solve
c)
using to, using a colon, and as a fraction
d)
very important
3.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
4.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
5.
Which represents the relationship of oranges to fruit?
a)
1:3
b)
1:2
c)
2:3
d)
2:1
6.
How can -7.5 best be classified?
a)
rational, real
b)
irrational, real
c)
rational
d)
irrational
7.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
8.
Which of the following statements is always true?
a)
All integers are whole numbers
b)
all rational numbers are integers
c)
some whole numbers are not rational numbers
d)
all whole numbers are integers
9.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a counting number
c)
Every integer is a whole number
d)
Every whole number is a rational number
10.
What is true about irrational numbers?
a)
They are terminating decimals.
b)
They are non-repeating decimals.
c)
They are fractions.
d)
They are natural numbers.
11.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
12.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
13.
Fraction to a Percent
3/8
3/8
a)
37.5%
b)
3.75%
c)
.375%
14.
Write 19/25 as a percent.
a)
19%
b)
25%
c)
76%
d)
50%
15.
Write 93.01% as a decimal.
a)
9301
b)
0.9301
c)
9.301
d)
930.1
16.
Write the percent as a decimal:
217%
217%
a)
.0217
b)
0.217
c)
2.17
d)
21.7
17.
0.1 as a percent
a)
1%
b)
10%
c)
100%
d)
1/10
18.
Write 48% as a fraction in simplest form.
a)
12/25
b)
48/100
c)
24/50
d)
4/8
19.
Change 4% to a decimal.
a)
.04
b)
.004
c)
.4
d)
4
20.
When converting decimals to percents, move the decimal:
a)
Two places to the left.
b)
Two places to the right.
c)
Two places up.
d)
Two places down.
21.
What is the percent?
a)
20 %
b)
60%
c)
80%
d)
.60%
22.
Change to a fraction
0.018
a)
18/1000
b)
9/500
c)
4/250
d)
18/100
23.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
24.
How would you write 0.0005 in scientific notation?
a)
50 x 10-5
b)
5 x 10-4
c)
5 x 103
d)
.5 x 103
25.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
26.
If the exponent is a positive number the original number was...
a)
a really big number.
b)
a really small number.
27.
If the exponent is a negative number the original number was...
a)
a really large number.
b)
a really small number.
28.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
29.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
30.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
31.
-4 - 2
a)
6
b)
-2
c)
-8
d)
-6
32.
-32/8
a)
-4
b)
-5
c)
4
d)
24
33.
what is the absolute value of -|24|?
a)
-24
b)
24
c)
98
d)
11
34.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
35.
Which is NOT negative?
a)
Withdrawal
b)
Loss
c)
Fine
d)
Bonus
36.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
37.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
38.
What is an integer?
a)
A whole number
b)
A fraction
c)
A negative number only
d)
Negative and positive whole number and 0
39.
8 * (-5) =
a)
-40
b)
-13
c)
40
d)
-3
40.
(-4)(9) =
a)
36
b)
-36
c)
5
d)
-5
41.
Express an integer: a debt of $50
a)
50
b)
-50
42.
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
43.
Compare these Integers using the symbols:
< > =
-56 ____ -47
< > =
-56 ____ -47
a)
<
b)
>
c)
=
d)
⊕
44.
Compare these Integers using the symbols:
< > =
3 ____ -6
< > =
3 ____ -6
a)
<
b)
>
c)
=
45.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
[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
46.
Order from least to greatest:
[-2, 4, 23, -1, 5, -3, 6]
[-2, 4, 23, -1, 5, -3, 6]
a)
-3, -2, -1, 4, 5, 6, 23
b)
23, 5, -1, -3, -2, 4, 6
c)
-1, -2, -3, 4, 5, 6, 23
d)
4, 5, 6, 23, -1, -2, -3
47.
Compare|-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
48.
Absolute value is always...
a)
negative
b)
positive
c)
an even number
49.
On a whole number line, what number is three steps left of -1?
a)
3
b)
-3
c)
-4
d)
0
50.
Which is the largest number?
a)
-1
b)
-10
c)
-20
d)
-17
51.
The minimum temperature in Stanthorpe was -50C. On the same day in Cairns the minimum temperature was 170C.
Calculate the temperature difference.
a)
120C
b)
-120C
c)
220C
d)
5oC
52.
If the temperature was -120C, and then it rose by 140C, What is the new temperature?
a)
260C
b)
-260C
c)
-20C
d)
20C
53.
If I owe my friend $10 and then Mum gives me $6, how much do I now have if I pay back my friend?
a)
Nothing
b)
-$4
c)
$4
d)
$6
54.
a)
13/3
b)
13/27
c)
9/39
d)
3/13
55.
a)
5/6
b)
3/15
c)
3/8
d)
2/15
56.
a)
1/6
b)
2/12
c)
8/9
d)
8/12
57.
Bobby has 3/4 of a cake. If he shares a 1/8 slice with Morgan, how much does he have left?
a)
4/8
b)
5/8
c)
3/4
d)
7/8
58.
a)
8 1/35
b)
8 12/35
c)
9
d)
8 4/15
59.
3 5/8 + 2 3/4
a)
5 11/8 = 6 3/8
b)
5 8/12 = 5 2/3
c)
5 8/8 = 6
d)
5 3/8
60.
7 1/6 - 2 5/6
a)
5 4/6 = 5 2/3
b)
5 2/6 = 5 1/3
c)
4 2/6 = 4 1/3
d)
4 4/6 = 4 2/3
61.
4/15 ÷ 2/5
a)
8/75
b)
3/2 = 1 1/2
c)
2/3
d)
1/3
62.
Convert into an improper fraction.
a)
15/2
b)
10/5
c)
17/5
d)
11/2
63.
Convert 45/12 to a Mixed Number.
a)
4 5/12
b)
3 9/12
c)
3 3/4
d)
9 3/12
64.
Find the product.
a)
2/14
b)
1/49
c)
2/7
d)
1/14
65.
Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can Valerie cut?
a)
13
b)
6
c)
9
d)
This is not possible.
66.
While making desserts for a bake sale, Lyla used 7/10 of a scoop of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did Lyla use?
a)
1 1/2
b)
2/3
c)
1/5
d)
3/4
67.
√ 16
a)
8
b)
3
c)
4
d)
6
68.
172 =
a)
34
b)
289
c)
225
d)
324
69.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
70.
Between which two whole numbers is the
√5?
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
71.
Between which two whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
72.
Which would be the next number in the pattern?
36, 49, 64, 81 __
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
73.
(-6)2
a)
12
b)
-12
c)
-36
d)
36
74.
−112
a)
121
b)
-121
c)
22
d)
-22
75.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
76.
-√400
a)
200
b)
-200
c)
-20
d)
20
77.
Select the square root that would be represent point A.
a)
√36
b)
√300
c)
√62
d)
√115
78.
Any number written to the 0 power is always 1
Example: 80=1
Example: 80=1
a)
True
b)
False
79.
Rewrite using a positive exponent.
g-7
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
80.
Rewrite each expression with a negative exponent.
1/124
1/124
a)
1/12-4
b)
124
c)
1/20,736
d)
12-4
81.
Rewrite using a positive exponent.
7-10
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
82.
Which exponent will make this statement true?
10? = 0.000001
10? = 0.000001
a)
6
b)
-6
c)
7
d)
-7
83.
What is 2-2 as a decimal?
a)
0.25
b)
-0.25
c)
0.5
d)
-0.5
84.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
85.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
86.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
87.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
d)
not here
88.
Riley has started a babysitting business. She charges $3.85 per hour. If she works 8 hours a week, how many dollars does she earn for the week?
a)
$30.80
b)
$3.08
c)
$308.80
d)
$40.80
89.
It took Mr. Williams 1.6 hours to run the 13.2 miles. What was his average speed?
a)
2.85 mph
b)
8.25 mph
c)
6.25 mph
d)
8.52 mph
90.
On Saturday,12 friends go ice skating.Altogether,they pay $83.40 for admission.They share the cost equally.How much does each person pay?
a)
7.95
b)
6.95
c)
9.93
d)
8.73
91.
You have 2/3 of a pumpkin pie left over from Thanksgiving. You want to give 1/2 of it to your sister. How much of the whole pumpkin pie will this be?
a)
1/5
b)
1/4
c)
1/3
d)
1/6
92.
Lisa had a board that was 18.93 inches long. She cut 2.09 inches off of the end. How long is the remainder of the board?
a)
2.19 inches
b)
21.02 inches
c)
1.684 inches
d)
16.84 inches
93.
Emily bought the following amounts of fruit at a fruit stand:
0.75 pounds of grapes
0.5 pounds of bananas
1.25 pounds of apples
How much did her fruit weigh altogether?
0.75 pounds of grapes
0.5 pounds of bananas
1.25 pounds of apples
How much did her fruit weigh altogether?
a)
0.25 pounds
b)
2.05 pounds
c)
2.50 pounds
d)
25.0 pounds
94.
Katie lives 1.34 miles from school. She biked 0.75 miles, but then her bike tire went flat, so she had to walk the rest of the way. How far did Katie walk?
a)
1.005 miles
b)
2.09 miles
c)
0.59 miles
d)
1.79 miles
95.
A store is shipping 26 birdhouses to a park. Each birdhouse weighs 3.93 pounds. What is the total weight of the shipment?
a)
28.93 pounds
b)
31.44 pounds
c)
102.18 pounds
d)
102.48 pounds
96.
Tickets to the Haunted House are $6.50 for adults and $4.30 for children. How much would it cost for two adults and four children?
a)
$30.20
b)
$10.80
c)
$48.20
d)
$25
97.
2. Justin purchased a 20 pound pumpkin for $9.80. How much did he pay per pound?
a)
$0.49
b)
$196
c)
$4.90
d)
$1.96
100 %
