wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

IAR Practice-6th Grade

Total questions: 26

Worksheet time: 7hrs 30mins

Name
Class
Date
1.

What is |−7.5|?

a)

-7.5

b)

6.5

c)

-8.5

d)

7.5

2.

Pavlova is a popular dessert in Australia. A manager at a restaurant wants to keep at least 25 servings of pavlova available for customers to order. Which inequality represents the number of servings of pavlova, p, available at the restaurant?

a)

p < 25

b)

p ≤ 25

c)

p > 25

d)

p ≥ 25

3.

Which of the following questions are examples of statistical questions? Select all the correct answers.

a)

How tall is the Empire State Building?

b)

What is your age?

c)

What is the capital of Arkansas?

d)

How many times have you been to the beach?

e)

How much money do you earn each week?

4.

An expression is shown: 3x2+10y+5z+73x^2 + 10y + 5z + 7 . Evaluate the expression for x=3x = 3 , y=0y = 0 , and z=2z = 2 .

a)

44

b)

54

c)

60

d)

35

5.

When plotting the point (-4, 2) on the coordinate plane, the x-coordinate indicates that the point is how many units to the left of the origin?

a)

2 units

b)

4 units

c)

6 units

d)

8 units

6.

Which point is located at (−4, 5)?

a)

Point P

b)

Point Q

c)

Point R

d)

Point S

7.

A rectangular plaque honoring war veterans is 34\frac{3}{4} meter long and has an area of 12\frac{1}{2} square meter. What is the width of the plaque?

a)

A. 38\frac{3}{8} m

b)

B. 23\frac{2}{3} m

c)

C. 32\frac{3}{2} m

d)

D. 54\frac{5}{4} m

8.

Which expression is equivalent to 5(x – 7)?

a)

A. 5x – 7

b)

B. x – 35

c)

C. 5x + 35

d)

D. 5x – 35

9.

What is the quotient of 11.88 ÷ 0.54?

a)

A. 22

b)

B. 21

c)

C. 20

d)

D. 19

10.

What is the greatest common factor of 10 and 75?

a)

15

b)

10

c)

5

d)

1

11.

Evaluate the expression 7(x2)3+x27(x - 2)^3 + x^2 when x=5x = 5 .

a)

73

b)

214

c)

512

d)

729

12.

What is the quotient of 4,945 ÷ 23?

a)

205

b)

225

c)

215

d)

195

13.

Which point is a distance of 5 units away from (1, 3) and in Quadrant II?

a)

(-4, 3)

b)

(1, -2)

c)

(1, 8)

d)

(6, 3)

14.

A vegetable garden is in the shape of a right triangle with legs measuring 12 meters and 9 meters. A farmer wants to divide the garden into two sections by installing a fence, as shown in the diagram. The farmer will plant carrots in the triangular section of the garden and squash in the other section. What is the area, in square meters, of the section of the garden where carrots will be planted?

a)

54 square meters

b)

96 square meters

c)

72 square meters

d)

24 square meters

15.

Which values make the inequality 2y + 3 > 3y true? Select all the correct answers.

a)

y = 0

b)

y = 1

c)

y = 2

d)

y = 3

e)

y = 4

16.

A principal recorded the number of students in each math class in the school. The box plot shown summarizes the data. Based on the box plot, what is the median number of students in a math class in the principal’s school?

a)

23

b)

24

c)

25

d)

27

17.

How many cubic inches is the volume of the rectangular prism shown? Express your answer as a decimal.

a)

1.5 cubic inches

b)

10 cubic inches

c)

7.5 cubic inches

d)

5.25 cubic inches

18.

A box of cereal with the following dimensions is being shipped. It costs $5.76 to ship the box of cereal. The box of cereal contains 6 cups of cereal. What is the volume of the box of cereal with dimensions 12 inches, 8 inches, and 2 inches?

a)

192 cubic inches

b)

106 cubic inches

c)

22 cubic inches

d)

24 cubic inches

19.

If it costs $4.80 to ship the box of cereal, what is the cost for shipping each cubic inch of the box if the volume of the box is 120 cubic inches?

a)

$0.03 per cubic inch

b)

$0.04 per cubic inch

c)

$0.05 per cubic inch

d)

$0.01 per cubic inch

20.

What is the value of the two following expressions when x = 3?

-2(x - 5)

10 - 2x

Are the two expressions equivalent?

a)

-4

Yes

b)

4

Yes

c)

-5

Yes

d)

6

Yes

21.

Samantha can bike at a constant rate of 12 miles per hour. Jake can bike at a constant rate of 10 miles per hour. How much farther will Samantha have biked than Jake after 4 hours?

a)

8 miles

b)

10 miles

c)

12 miles

d)

15 miles

22.

Jamie has 1/2 cup of raisins. How many 1/8-cup servings of raisins are in 1/2 cup of raisins?

a)

2 servings

b)

3 servings

c)

4 servings

d)

5 servings

23.

Which table shows the correct conversions from pints and quarts to cups?

a)

Table A

b)

Table B

c)

Table C

d)

Table D

24.

An electronics store advertises 25% off the regular price of any stereo. What is the amount of the discount on a $300 stereo?

a)

$75

b)

$25

c)

$225

d)

$275

25.

Amari was making a banner for a Juneteenth parade. She placed a hook 25% of the way across the banner from left to right. The hook was 2 feet from the left side of the banner. What is the length, in feet, of Amari’s banner?

a)

6 feet

b)

18 feet

c)

10 feet

d)

8 feet

26.

The map shows some locations in Paige’s town. Each unit represents 1 mile. What is the distance from Paige’s house to the school? What is the distance from the school to library?

a)

6 miles(house to school)

6 miles(school to library)

b)

3 miles(house to school)

3 miles(school to library)

c)

6 miles(house to school)

3 miles(school to library)

d)

3 miles(house to school)

6 miles(school to library)