Quiz about Math Level 7: Diagnostic Assessment

Question 1

Amy used 2 tea bags for every 3 cups of water to make iced tea. Which ratio of tea bags to cups of water will make the same strength of iced tea?

Accepted Answer

12 : 18

Answer

6 : 10

Answer

5 : 6

Answer

9 : 15

Question 2

It costs $350 to spend 4 nights at the Econo Motel. It costs $475 to spend 6 nights at the Bluebird Inn. Which of these statements is true?

Accepted Answer

The Econo Motel is more expensive per night, because 350 : 4 is greater than 475 : 6.

Answer

The Bluebird Inn is more expensive per night, because 475 : 6 is greater than 350 : 4.

Answer

The Bluebird Inn is more expensive per night, because $$475 is greater than $$ 350.

Answer

The Econo Motel is more expensive per night, because 4 nights is less than 6 nights.

Question 3

The list shows the number of copies of a new book that were sold each week after its release date. By what factor did the number of copies change each week from the first week to the fifth week?

Accepted Answer

D. 6

Answer

A. 4

Answer

B. 31,080

Answer

C. 120

Question 4

During an assembly, 15 out of 60 students wore orange shirts to show school spirit. What percentage of the students did not wear orange shirts?

Accepted Answer

75%

Answer

8%

Answer

15%

Answer

25%

Question 5

Nadia scored 96% on her math test. There were a total of 75 questions on the test. How many questions did Nadia answer correctly?

Accepted Answer

72 questions

Answer

74 questions

Answer

70 questions

Answer

3 questions

Question 6

The shaded area on the grid represents the part of Kira's free throws that she made in basketball practice today. What percent of her free throws did Kira make today?

Accepted Answer

68%

Answer

32%

Answer

35%

Answer

65%

Question 7

On opening night of the school play, 220 seats in the auditorium were occupied. The auditorium seats 400 people. What percent of the seats were unoccupied?

Accepted Answer

45%

Answer

40%

Answer

55%

Answer

60%

Question 8

Katie purchases a skateboard that is on sale for 30% off the original price. Katie saves $18 on the skateboard. What is the original price of the skateboard?

Accepted Answer

$60.00

Answer

$5.40

Answer

$42.00

Answer

$78.00

Question 9

Leah's mom bought a bag of pistachios. According to the bag, one serving of pistachios is $$\frac{7}{8}$$ ounce. When Leah gets the bag from her brother, there is $$\frac{1}{4}$$ ounce of pistachios remaining. How many servings remain in the bag?

Accepted Answer

$$\frac{2}{7}$$ serving

Answer

$$\frac{7}{32}$$ serving

Answer

$$3\ \frac{1}{2}$$ servings

Answer

$$4\ \frac{4}{7}$$ servings

Question 10

Jackson Middle School hosts a pizza party for the new school year. There are 588 students in the school. A pizza company sells extra-large pizzas that are cut into 12 slices each. How many pizzas does the school need to order so that each student receives 2 slices?

Accepted Answer

98 pizzas

Answer

25 pizzas

Answer

95 pizzas

Answer

101 pizzas

Question 11

Trang saves money for a computer. She charges $8.25 per hour to walk dogs in her neighborhood. She also mows lawns for $12.75 per hour and does other odd jobs for her neighbors for $6.50 per hour. The chart shows the number of hours Trang works each job. How much money does Trang earn for her computer?

Accepted Answer

$447.50

Answer

$27.50

Answer

$80.50

Answer

$298.00

Question 12

A middle school needs volunteers from fifth and sixth grades for a project. The chart shows the number of volunteers from each grade. The volunteers are split equally into groups. Which best describes the greatest number of groups that can be created?

Accepted Answer

There are 12 groups with 2 fifth-grade students and 3 sixth-grade students.

Answer

There are 2 groups with 12 fifth-grade students and 18 sixth-grade students.

Answer

There are 4 groups with 6 fifth-grade students and 9 sixth-grade students.

Answer

There are 6 groups with 4 fifth-grade students and 6 sixth-grade students.

Question 13

Which statement cannot be described by a negative number?

Accepted Answer

Laurie climbs stairs every day to get to her office.

Answer

Savvy withdraws money from her savings account.

Answer

A fish swims below the surface of the water.

Answer

Jonathan loses weight.

Question 14

What number is the opposite of the value of point C on the number line?

Accepted Answer

$$1\ \frac{3}{4}$$

Answer

$$-2\ \frac{1}{2}$$

Answer

$$-1\ \frac{3}{4}$$

Answer

$$2\ \frac{1}{2}$$

Question 15

Point A is located at (-6, 2). Which point on the grid shows a reflection of point A across the y-axis?

Accepted Answer

point D

Answer

point E

Answer

point C

Answer

point C

Question 16

Jolie and Justin use a coordinate grid to map the location of trees in their backyard. The points on the graph represent newly planted trees. Jolie and Justin plant a fourth tree to form a square. Which ordered pair shows the location of the fourth tree?

Accepted Answer

(-4, 4)

Answer

(-4, 3)

Answer

(-3, 3)

Answer

(3, -4)

Question 17

Which of the equations could be used to represent the model shown?

Accepted Answer

5 + (-8) = -3

Answer

-8 + (-5) = -3

Answer

5 - (-8) = -3

Answer

8 - (-5) = -3

Question 18

Which of the following best describes the number 4 in the expression $$6\left(4h-9\right)$$ ?

Accepted Answer

coefficient

Answer

constant

Answer

product

Answer

term

Question 19

Which of the following is equivalent to 24x + 32y using the distributive property?

Accepted Answer

8(3x + 4y)

Answer

4(8x + 6y)

Answer

3(8x + 12y)

Answer

2(12y + 16x)

Question 20

Look at the model. Based on the model, which of the following statements of equality is true?

Accepted Answer

3(3 + x) = 9 + 3x

Answer

9(3 + 3x) = 27 + 3x

Answer

3(x + 3) = 3x + 6

Answer

3x + 27 = 3(3 + 2x)

Question 21

Which equation has a solution of $$\frac{3}{5}$$ for n?

Accepted Answer

$$10n=6$$

Answer

$$n-\frac{1}{2}=\frac{1}{5}$$

Answer

$$6n=10$$

Answer

$$1\ \frac{1}{2}+n=2\ \frac{1}{4}$$

Question 22

Julio's age is three increased by double his sister's age, a. Which expression shows Julio's age?

Accepted Answer

3 + 2a

Answer

(3 + 2)a

Answer

3a + 2a

Answer

3(2a)

Question 23

Which number line represents the solution to x + 4 > 9?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 24

The table shows the relationship between c, the original cost of items before a coupon has been applied, and d, the amount spent. Which equation represents the relationship shown in the table?

Accepted Answer

d = c - 7.5

Answer

d = 7.5c

Answer

d = c + 7.5

Answer

d = 7.5 - c

Question 25

Jerry trains for a cross country bike ride. The graph shows the total number of miles, y, Jerry rides his bike after different numbers of hours, x. Which equation best represents the relationship between x and y?

Accepted Answer

y = 8x

Answer

y = 8 + x

Answer

x = 8y

Answer

x = 8 + y

Question 26

The measure of the base of triangle ABC is 8.5 units. The base of triangle DEF has vertices at (3, -10) and (10, -10) on the coordinate plane. What is the difference between the lengths of the bases of the two triangles?

Accepted Answer

1.5 units

Answer

12 units

Answer

3 units

Answer

2 units

Question 27

Which question will yield variability in the data?

Accepted Answer

What are the heights of your classmates?

Answer

What year were you born?

Answer

How many days were you absent during the last school year?

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