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6th Grade Number Sense Focus Standards Sample
Questions
Name:_______________________
Date:_______________________
______________________________________________________________________________
1
Complete the ratio to form a proportion.
A
B
C
D
2
10
5
4
8
Simplify.
–3 + 4
A
B
C
D
3
–7
–1
1
7
Simplify.
–15 + (–4)
A
B
C
D
4
–19
–11
11
19
Simplify.
–9 – 6
A
B
C
D
15
3
–3
–15
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Page 1 of 20
6th Grade Number Sense Focus Standards Sample Questions
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5
Simplify.
–23 + (–5)
A
B
C
D
6
28
18
–18
–28
Simplify.
8 – (–3)
A
B
C
D
7
11
5
–5
–11
Use the circle graph below.
What percent of students’ jobs is NOT in restaurants?
A
B
C
D
10%
45%
55%
30%
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Page 2 of 20
6th Grade Number Sense Focus Standards Sample Questions
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8
Use the table below.
Choose the correct rule for the function.
A
B
C
D
9
y= x+1
y = 2x – 1
y= x–1
y = 2x + 1
Use the table below.
Find the value of y for x = 9.
A
B
C
D
10
5
15
14
17
Triangle ABC is similar to triangle XYZ. If the measure of angle B is 60 , what is the
measure of angle Y?
A
B
C
D
30
60
80
100
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6th Grade Number Sense Focus Standards Sample Questions
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11
A model airplane is 6 cm long. The scale of the model is 1 cm : 3.3 m. How long is the
actual airplane?
A
B
C
D
19.8 m
198 m
55 m
18.1 m
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6th Grade Number Sense Focus Standards Sample Questions
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12
Choose the circle graph that represents the data in the table.
Favorite Weekend Activity of 100 Students
Activity
Number of Students
listening to music
26
exercise
18
spending time with family
12
spending time with friends
44
A
B
The darkest shaded section represents “listening to music”.
C
The unlabled shaded section represents “listening to music”.
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Page 5 of 20
6th Grade Number Sense Focus Standards Sample Questions
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13
A picture frame measures 4 in. by 8 in. You want to make a simlilar frame with a 16 in.
long side. What is the length of the short side of the new frame?
A
B
C
D
14
6 in.
12 in.
8 in.
10 in.
Clyde made a model of his favorite type of car. His model is 6 inches long, and the actual
length of the car is 15 feet. What is the scale of Clyde’s model?
A
B
C
D
1 in. : 15 in.
1 in. : 18 in.
1 in. : 24 in.
1 in. : 30 in.
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6th Grade Number Sense Focus Standards Sample Questions
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15
Choose the circle graph that represents the data in the spreadsheet.
A
B
C
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Page 7 of 20
6th Grade Number Sense Focus Standards Sample Questions
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16
Which ratio can form a proportion with the fraction?
A
B
C
D
17
Which pair of ratios can form a proportion?
A
B
C
D
18
A local grocery store is advertising a special on picnic supplies. Charcoal is priced at 3
bags for $11.50. Use the following proportion to find the cost of 5 bags of charcoal.
A
B
C
D
19
$15.50
$18.40
$19.17
$22.75
Which pair of ratios does not form a proportion?
A
and
B
and
C
and
D
and
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Page 8 of 20
6th Grade Number Sense Focus Standards Sample Questions
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20
Four tickets at an amusement park cost $7.00. How much do six tickets cost?
A
B
C
D
21
$4.67
$3.43
$10.50
$10.75
Graph the simple interest earned over 3 years on $1,000 invested at an annual rate of 6%.
A
B
C
D
22
Eugene borrows $250 at a 4% interest rate. How much simple interest will he owe in a
year?
A
B
C
D
$10
$15
$18
$20
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Page 9 of 20
6th Grade Number Sense Focus Standards Sample Questions
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23
Mr. Werner works at a computer store. He receives a 20% discount off all merchandise as
an employee benefit. Which proportion can be used to find a, the amount of the discount
Mr. Werner will receive on a computer system that normally costs $1,650?
A
B
C
D
24
You and a friend go to lunch. The bill is $18.75. How much should you leave for a 15% tip?
Round to the nearest cent if necessary.
A
B
C
D
25
Luke’s dinner bill is $35.89. He plans to leave a 20% tip. Which of the following is the
closest estimate of the tip?
A
B
C
D
26
$1.88
$2.81
$3.75
$21.56
$7.00
$8.00
$9.00
$10.00
The estimated cost to repair Chen’s bicycle is $29.95. The owner of the bike shop tells
Chen that the actual cost to repair the bike will be no higher than 10% more than the
estimated cost. Which is the closest estimate of the most Chen can expect to pay for the
bicycle repair?
A
B
C
D
$30.00
$31.00
$32.00
$33.00
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Page 10 of 20
6th Grade Number Sense Focus Standards Sample Questions
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27
Sue’s bank pays her a simple yearly interest rate of 4.8% on the money in her college
savings account. She opens her account with $812. Which is the closest estimate of the
amount of interest her account will have earned after one year?
A
B
C
D
28
Find the amount of a 15% tip on a $7.15 lunch bill.
A
B
C
D
29
$30.00
$29.78
$4.96
$29.74
The price of a new edition of a book is 110% of the price of the original edition. The
original edition cost $29.95. What is the cost of the new edition?
A
B
C
D
31
$1.72
$1.07
$1.50
$1.42
Find the total cost of a $24.78 bill with a 20% tip.
A
B
C
D
30
$30
$32
$40
$42
$32.95
$31.05
$30.06
$3
A store is having a sale in which all items are 20% off. How much would you pay for a
video game that originally cost $45?
A
B
C
D
$25
$36
$44.80
$45.20
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Page 11 of 20
6th Grade Number Sense Focus Standards Sample Questions
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32
Find the simple interest on the principal amount $590 with a 5% interest rate.
A
B
C
D
33
If you save $700 at an annual interest rate of 4.25%, how much money would you have in
the account at the end of one year?
A
B
C
D
34
$1,600.96
$1,609.60
$2,560.00
$1,696.00
Find 48% of 80.
A
B
C
D
36
$729.75
$793.10
$728.25
$704.25
You deposit $1,600 in a bank account that pays 6% interest annually. What is the balance
after one year?
A
B
C
D
35
$29.50
$30.00
$2.95
$59.00
32
38.4
60
Find 145% of 78.
A
B
C
D
185.9
113.1
53.8
1.859
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Page 12 of 20
6th Grade Number Sense Focus Standards Sample Questions
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37
Find 150% of 17.
A
B
C
D
38
18% of 90 is what number?
A
B
C
D
39
80%
16%
4%
20%
In one city the rainfall in July was 110% of the month’s normal rainfall. If the normal rainfall
is 3.2 inches, what was July’s rainfall that year?
A
B
C
D
41
0.2
16.2
1.62
162
A class has 20 students. Sixteen of the students know the answer to a particular math
question. What percent of the students know the answer?
A
B
C
D
40
25.5
9
25
26.5
2.88 in.
3.52 in.
3.58 in.
4.32 in.
70% of what number is 42?
A
B
C
D
60
72
84
93
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Page 13 of 20
6th Grade Number Sense Focus Standards Sample Questions
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42
What percent of 35 is 21?
A
B
C
D
43
Gina plans to buy a birdbath for her garden. The birdbath costs $79.95. The sales tax rate
in her state is 8.25%. What will be the total cost of the birdbath?
A
B
C
D
44
$37.69
$38.94
$39.08
$39.39
Amber bought a shirt on sale for $12. The original price was $15. Find the percent of
discount.
A
B
C
D
46
$73.35
$86.55
$88.20
$91.55
Trey pays $34.25 for dinner. If he leaves a 15% tip, how much will he spend on dinner and
the tip?
A
B
C
D
45
14%
21%
40%
60%
20%
24%
27%
30%
A music store buys compact discs for $9.90 each. The store sells each disc for $14.65.
What is the percent of markup?
A
B
C
D
34%
48%
52%
65%
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Page 14 of 20
6th Grade Number Sense Focus Standards Sample Questions
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47
Marco bags groceries. After six months on the job his pay increases from $5.25 per hour
to $6.15 per hour. Find the percent increase in his hourly rate of pay.
A
B
C
D
48
Greg is paid a salary of $500.00 per month plus 15% commission on all the furniture sales
in his department. How many dollars’ worth of furniture does Greg’s department need to
sell this month for Greg to receive a $3,500.00 paycheck?
A
B
C
D
49
$20,000
$20,500
$23,333
$26,666
In Spearfish, North Dakota, the temperature once went from –4°F to 45°F in two minutes.
How did the temperature change in that two-minute period?
A
B
C
D
50
9%
12%
15%
17%
41 degrees colder
41 degrees warmer
49 degrees colder
49 degrees warmer
What is the value of –15 – (–33)?
A
B
C
D
–48
–18
18
48
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Page 15 of 20
6th Grade Number Sense Focus Standards Sample Questions
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51
What is the missing value in the function table below?
Input
Output
4
1
6
3
8
5
10
7
12
?
A
B
C
D
52
3
6
9
11
Use an equation to solve.
What percent of 62 is 37.2?
A
B
C
D
53
6%
60%
0.6%
1.6%
Use an equation to solve.
128 is 32% of what number?
A
B
C
D
4
40
0.25
400
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Page 16 of 20
6th Grade Number Sense Focus Standards Sample Questions
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54
Use the sequence below.
–3, –5, –7, –9, . . .
Choose the correct table to represent the sequence.
A
B
C
D
55
Use the sequence below.
–3, –5, –7, –9, . . .
Choose the correct variable expression for the rule. Then find the 100th term.
A
B
C
D
56
–2n – 1; –201
2n + 1; –201
–2n + 1; –199
2n – 1; –199
Use a proportion to solve.
What is 32% of 160?
A
B
C
D
500
51.2
512
50
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Page 17 of 20
6th Grade Number Sense Focus Standards Sample Questions
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57
Use a proportion to solve.
What percent of 64 is 56?
A
B
C
D
58
The figures are similar. Find the missing value.
A
B
C
D
59
x
x
x
x
= 9, y = 15
= 12, y = 20
= 18, y = 30
= 20, y = 12
Determine whether the ratios in the pair form a proportion.
A
B
60
0.875%
8%
8.75%
87.5%
yes
no
Simplify.
A
B
C
D
–80
–24
5
80
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Page 18 of 20
6th Grade Number Sense Focus Standards Sample Questions
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61
Simplify.
A
B
C
D
62
Simplify.
A
B
C
D
63
5
60
55
–5
Simplify.
A
B
C
D
64
6
–6
–65
–91
–48
–16
8
48
Simplify.
A
B
C
D
–31
–15
15
–182
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Page 19 of 20
6th Grade Number Sense Focus Standards Sample Questions
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65
A scale drawing has a scale of 1 in. : 8 ft. Find the actual length for each drawing length.
12 in.
A
B
C
D
66
72 ft
144 ft
96 ft
120 ft
Use the function rule. Find y for x = 1, 2, and 3.
y=x+5
A
B
C
D
67
5, 6, 7
6, 7, 8
1, 2, 3
7, 8, 9
Use the function rule. Find y for x = 1, 2, and 3.
y = 3x – 4
A
B
C
D
68
1, 2, 5
–2, 5, 8
5, 8, 11
–1, 2, 5
Use the function rule. Find y for x = 1, 2, and 3.
Which function rule describes the number d of days in w weeks?
A
B
C
D
d = 7w
7d = w
d = 5w
12d = w
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