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Worksheets

Mathematics Practice

Total questions: 49

Worksheet time: 25mins

Name
Class
Date
1.

Which equation demonstrates the associative property of addition?

a)

A. 2 + (1 + 5) = (2 + 1) + 5

b)

B. 2(1 × 5) = (2 × 1)5

c)

C. 1 × 3 = 3 × 1

d)

D. 2(7 + 4) = 2 × 7 + 2 × 4

2.

Using the information in the table, which equation demonstrates the linear relationship between x and y?

a)

y = 6x - 6

b)

y = 5x - 6

c)

y = 4x - 6

d)

y = 3x - 6

3.

Using the table, which equation demonstrates the linear relationship between x and y?

a)

y = -6x - 6

b)

y = -5x - 6

c)

y = -4x - 6

d)

y = -3x - 6

4.

Students board a bus at 7:45 a.m. and arrive at school at 8:20 a.m. How long are the students on the bus?

a)

30 minutes

b)

35 minutes

c)

45 minutes

d)

60 minutes

5.

Which expression has only prime factors of 3, 5, and 11?

a)

66 × 108

b)

15 × 99

c)

42 × 29

d)

28 × 350

6.

Robbie has a bag of treats that contains 5 pieces of gum, 7 pieces of taffy, and 8 pieces of chocolate. If Robbie reaches into the bag and randomly pulls out a treat, what is the probability that Robbie will get a piece of taffy?

a)

1/7

b)

1/5

c)

5/7

d)

7/20

7.

Which figure is a concave polygon?

a)

[First figure]

b)

[Second figure]

c)

[Third figure]

d)

[Fourth figure]

8.

Micah invites 23 friends to his house and is having pizza for dinner. Each pizza feeds approximately 4 people. Micah does not want a lot of leftovers. How many pizzas should he order?

a)

5

b)

6

c)

7

d)

8

9.

Kim and Chris are writing a book together. Kim writes twice as many pages as Chris. Altogether, there are 240 pages in the book. Which equation shows how many pages Chris writes?

a)

2 + 2p = 240

b)

p + 2p = 240

c)

2p - p = 240

d)

p - 2p = 240

10.

An ice chest contains 24 sodas, some regular and some diet. The ratio of diet soda to regular soda is 1:3. How many regular sodas are there in the ice chest?

a)

1

b)

3

c)

18

d)

24

11.

Which inequality is equivalent to 10 ≤ k - 5?

a)

k ≤ 15

b)

k ≥ 15

c)

k ≥ 5

d)

k ≥ 10

12.

What is 5/8 as a percent?

a)

0.625%

b)

1.6%

c)

16%

d)

62.5%

13.

Simplify 52225^2 - 2^2 + 333^3 .

a)

25

b)

30

c)

556

d)

538

14.

Which statement describes the images?

a)

3/9

1.

3/9

b)

3/3

2.

3/3

c)

9/3

3.

9/3

d)

27/3

4.

27/3

15.

When the numerator stays the same and the denominator increases, the fraction increases. When the numerator increases and the denominator stays the same, the fraction increases. When the numerator and the denominator increase, the fraction decreases. When the numerator stays the same and the denominator decreases, the fraction decreases.

a)

True

b)

False

c)

True

d)

False

16.

Danny collects coins. The table shows how many of each type of coin Danny collects for 4 days. Which statement is true?

a)

The mean number of nickels is greater than the mean number of quarters.

b)

The mean number of quarters is greater than the mean number of pennies.

c)

The range of dimes is greater than the range of quarters.

d)

The median number of pennies is 5.

17.

Solve for x.

a)

0

b)

18

c)

180

d)

6

18.

A table is 150 centimeters long. How many millimeters long is the table?

a)

1.5 mm

b)

15 mm

c)

150 mm

d)

1500 mm

19.

Students are asked if they prefer vanilla, chocolate, or strawberry ice cream. The results are tallied on the table below. The students display the information from the table in a bar graph. Which student completes the bar graph correctly?

a)

A. Pedro

b)

B. Benjamin

c)

C. Nicole

d)

D. Susan

20.

If the pattern continues, what is the next number? (2, 5, 14, 41, 122, __)

a)

244

b)

264

c)

422

d)

365

21.

What is the value of 3x + 7y if x = 87?

a)

10

b)

21

c)

31

d)

80

22.

What is the value of the digit 4 in the number 654,123?

a)

one thousand

b)

four thousand

c)

ten thousand

d)

forty thousand

23.

Which equation is described by the data in the table?

a)

y=4x2y = 4 - x^2

b)

x2+y=4x^2 + y = 4

c)

x2+y=21x^2 + y = 2^1

d)

all of the above

24.

The formula for distance is d = r × t. How long will it take a plane to fly 4000 miles from Chicago to London if the plane flies at a constant rate of 500 mph?

a)

20 hours

b)

8 hours

c)

45 hours

d)

3.5 hours

25.

Justin has a summer lawn care business. Justin earns 400perweekbytakingcareof10lawns.Justinpays400 per week by taking care of 10 lawns. Justin pays 35/week in business-related expenses. The money Justin saves after x weeks is represented by the expression x(400 - 35). If y represents Justin’s total earnings, which expression shows how many dollars Justin earns in a summer?

a)

y = 365x

b)

35x = 400y

c)

x + y = 365

d)

x = 365y

26.

Which expression can be solved using the following steps? 1. Subtract 5 from m. 2. Multiply the result by 2. 3. Cube the result.

a)

[2(m - 5)]³

b)

2m³ - 5

c)

2m - 5

d)

2(m - 5)³

27.

Which property is demonstrated by the equivalent expressions? 7(3 + 5) = 7 × 3 + 7 × 5

a)

distributive

b)

associative

c)

commutative

d)

multiplicative

28.

Using the function table, what is the value of f(20)?

a)

20

b)

25

c)

42

d)

50

29.

Which number has a prime factorization of 3 odd numbers and 1 even number?

a)

9

b)

21

c)

45

d)

90

30.

How much longer is line segment MN than line segment KL?

a)

15 mm

b)

30 mm

c)

20 mm

d)

55 mm

31.

Which conclusion can be drawn from the graph? (Refer to the END-OF-YEAR GRADE REPORT bar graph)

a)

More than twice as many students score an "A" in science than score an "F" in science.

b)

The majority of the students score a "C" in math.

c)

The number of students who score a "B" in reading is equal to the number of students who score a "B" in math.

d)

Next year's students do not need very much science instruction because students already know science.

32.

In the fall, 425 students pass the math benchmark. In the spring, 680 students pass the same benchmark. What is the percentage increase in passing scores from fall to spring?

a)

A. 40%

b)

B. 55%

c)

C. 60%

d)

D. 80%

33.

Noah and Jennifer have a total of $10.00 to spend on lunch. If each buys his or her own order of french fries and a soda, how many orders of chicken strips can they share?

a)

0

b)

1

c)

2

d)

3

34.

Lynn has 4 grades in science class. Each grade is worth 100 points. Lynn has an 85% average. If Lynn makes 100% on each of the first 3 grades, what does she earn on her 4th grade?

a)

A. 40%

b)

B. 55%

c)

C. 85%

d)

D. 100%

35.

Which expression is equivalent to dividing 300 by 12?

a)

2(150 ÷ 6)

b)

(300 ÷ 4) ÷ 6

c)

(120 ÷ 6) + (180 ÷ 6)

d)

(120 ÷ 12) + (180 ÷ 12)

36.

Aprille has $50 to buy the items on her list. Assuming there is no sales tax, about how much change will Aprille receive after buying all the items on her list?

a)

$10

b)

$15

c)

$35

d)

$50

37.

Which number has the greatest value?

a)

9299 ones

b)

903 tens

c)

93 hundreds

d)

9 thousands

38.

Which number has the least value?

a)

0.305

b)

0.035

c)

0.35

d)

0.3

39.

What is the area of the shape?

a)

64 mm²

b)

16 mm²

c)

128 mm²

d)

6 mm²

40.

What is the perimeter of the shape?

a)

2 mm

b)

4 mm

c)

10 mm

d)

20 mm

41.

Which three-dimensional solid has 2 triangular faces and 3 rectangular faces?

a)

pyramid

b)

cube

c)

rectangular prism

d)

triangular prism

42.

What are the coefficients and the degrees of the terms in the polynomial? 4x³ + 5x²

a)

coefficients (4, 5), degrees (3, 2)

b)

coefficients (1, 4, 5), degrees (3, 2)

c)

coefficients (3, 2), degrees (4, 5)

d)

coefficients (3, 2), degrees (1, 4, 5)

43.

In which quadrant is the point (−3, −4) located?

a)

I

b)

II

c)

III

d)

IV

44.

Which terms can be used to describe the polygon?

a)

irregular and convex

b)

irregular and concave

c)

regular and convex

d)

regular and concave

45.

How many times larger is the digit 3 in the first number compared to the second number?

a)

A. 2

b)

B. 4

c)

C. 10

d)

D. 100

46.

A fruit stand sells apples, bananas, and oranges at a ratio of 3:2:1. If the fruit stand sells 20 bananas, how many total pieces of fruit does the fruit stand sell?

a)

10

b)

30

c)

40

d)

60

47.

Which type of number is shown below? 3.6555555...

a)

natural number

b)

whole number

c)

integer

d)

rational number

48.

Out of 1560 students at Ward Middle School, 15% want to take French. Which equation can determine how many students want to take French?

a)

x = 1560 ÷ 15

b)

x = 15 ÷ 1560

c)

x = 1560 × 0.15

d)

x = 1560 ÷ 100

49.

What is the 6th term of the sequence if the pattern is to find the difference between the 2 preceding numbers and then multiply by −3?

a)

−81

b)

−135

c)

135

d)

81