Free Printable NM-MSSA Test Prep

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NM-MSSA Test Prep

Total questions: 51

Worksheet time: 3hrs 33mins

Name

Class

Date

The owner of a restaurant buys sets of tables and chairs. She buys 6 chairs for each table. Which equation shows the relationship between t, the number of tables, and c, the number of chairs?

t = 6c

c = 6t

t = c + 6

c = t + 6

Lucy traced each face of a three-dimensional shape. The faces she traced are shown. Which three-dimensional shape did Lucy trace?

The number of customer calls received by a call center is shown in this table. Which graph best represents the data in the table?

Ben has d dollars. Sally has 3 dollars less than Ben. Which expression represents the amount of money that Sally has?

d + 3

3 - d

d - 3

Jerry is thinking of two rational numbers, r and s, such that r is located to the right of s on a number line. Jerry made these claims about r and s: Claim 1: r > s Claim 2: |r| > |s| Which statement best describes Jerry’s claims?

Only Claim 1 is true for all rational numbers.

Only Claim 2 is true for all rational numbers.

Both Claim 1 and Claim 2 are true for all rational numbers.

Neither Claim 1 nor Claim 2 is true for all rational numbers.

Mr. Brown asked Susan to write a statistical question. This is the question Susan wrote.

How many children does Mr. Brown have?

Did Susan write a statistical question?

Yes, because the answer is a number.

No, because the question is written for only one person to answer.

Yes, because there will be variability in the data collected from this question.

No, because there will be no variability in the data collected from this question.

The equation 2x = y + 1 gives the values of y in the table when the value for x is 1, 2, 3, or 4. Which statement describes the value of y when the value of x continues to increase by 1?

The value of y increases by 1.

The value of y increases by 2.

The value of y decreases by 1.

The value of y decreases by 2.

This right rectangular prism is packed with cubes. Each cube has a side length of $\frac{1}{10}$ meter. Which expression can be used to find the volume, in cubic meters, of the prism?

8 × 5 × 5

$\frac{1}{10} \times \frac{1}{10} \times \frac{1}{10}$

$\frac{8}{10}\times\frac{5}{10}\times\frac{5}{10}$

8 × $\frac{5}{10} \times \frac{5}{10}$

Vertex P of triangle MNP is located 2 units directly below vertex N on this coordinate plane. What are the coordinates of vertex P?

(−5, 3)

(3, −5)

(3, −3)

(−3, 3)

10.

Rashaun surveyed 17 students to determine how often they ate cafeteria food for lunch during the last two weeks.

He made this line plot to show the results.

Which would be the best label for Rashaun to use on the number line?

Number of Cafeteria Lunches

Number of Students

Number of Weeks

Number of Minutes in Lunch Line

11.

The perimeter of a rectangle is represented by this expression: 2(3x+8+2x). Which expression also represents the perimeter of the rectangle?

8x+8

5x+10

9x+16

10x+16

12.

Isabella has $\frac{7}{8}$ cup of barbecue sauce. She separates it into $\frac{1}{4}$ -cup portions. How many portions of sauce does Isabella have?

$\frac{7}{2}$

$\frac{1}{6}$

$\frac{7}{32}$

$\frac{32}{7}$

13.

Miranda makes this line plot to show the noon temperatures, in degrees Fahrenheit, during the past two weeks.

What is the median of the data?

The median of the data is 70°F.

The median of the data is 65°F.

The median of the data is 68°F.

The median of the data is 66°F.

14.

Mr. Nelson wants to buy the brand of fertilizer that will provide the greatest amount of nitrogen per square foot of coverage area. Considering that one bag of each brand covers the same area, he chooses Brand A because it has the highest percentage of nitrogen.

Did Mr. Nelson choose the brand that will provide the greatest amount of nitrogen per square foot?

Yes, he was correct to choose the brand with the highest percentage of nitrogen.

No, he should have chosen Brand B because it has the lesser weight of the two brands with the lowest percentage of nitrogen.

No, he should have chosen Brand C because it has the greatest value of (size of bag)(percent nitrogen).

No, he should have chosen Brand D because it has the greatest value of

15.

The table shows the relationship between the time in hours and the distance in miles that a train is traveling. Based on the table, which equation represents the relationship between the distance, d, and time, t?

A. d = 75 + t

B. d = 75t

C. d = 150 + t

D. d = 150t

16.

Jasmine is painting her bedroom walls. The total area that needs to be painted is 480 square feet. Jasmine was able to paint 320 square feet in 4 hours.

How much longer will it take Jasmine to finish painting if she continues to paint at that same rate?

1 hour

2 hours

4 hours

6 hours

17.

Which expression shows 48 + 34 as the product of one factor and the sum of two whole numbers with no common factors other than 1?

A. 2(24 + 17)

B. 3(16 + 11)

C. 4(12 + 8)

D. 6(8 + 4)

18.

Which expressions are equivalent to 5x + 4y? Select all that apply.

2x + 3x + 4y + y

2(x + 2y) + 3x

3(2x + y) - x - y

4x + x + 2y + 3y

5(x + y) - y

19.

Vivian’s basketball team scored these numbers of points in the first five games of the season.

27, 31, 27, 22, 40

Her team scored 27 points in the sixth game and 35 points in the seventh game. Which measure is affected by including these two scores with the scores of the first five games?

mean

median

mode

range

20.

Rectangular Prism W has dimensions of 6 2/5 inches, 6 inches, and 2 1/2 inches. Which rectangular prism has a volume equal to the volume of the Rectangular Prism W?

21.

What is the value of $3^4 + 4^2$ ?

A. 13

B. 20

C. 42

D. 97

22.

Which expressions have a sum of 6.12? Select the two expressions.

3.6 + 3.6

6.1 + 0.2

2.42 + 3.7

2.11 + 4.1

5.02 + 1.1

23.

This list shows data values increasing in order. 33, 40, 40, 40, 40, 51, ?, 62, 71, ? Two data values are missing. Which measures can be determined from the data without the missing numbers?

the mean and the range

the mode and the range

the median and the mean

the median and the mode

24.

Cindy noticed that $\frac{8}{9}$ of the students in her math class were wearing jeans. A total of 24 students were wearing jeans. Which equation can be used to find $s$ , the total number of students in Cindy’s math class?

$\frac{s}{24} = \frac{8}{9}$

$\frac{8}{9}s = 24$

$24s = \frac{8}{9}$

$s = \frac{8}{9} \times 24$

25.

A cafeteria worker is mixing a large batch of lemonade. She first pours 12 pints of water into 40 tablespoons of lemonade mix. She then realizes she needs more lemonade. She tells another worker to mix more using the unit rate of $\frac{3}{10}$ pint of water for every tablespoon of lemonade mix. Did she tell the worker the correct unit rate, in pints?

yes, because $\frac{40}{12} = \frac{10}{3}$

yes, because $\frac{12}{40} = \frac{3}{10}$

no, because $40 + 40 = 1$

no, because $\frac{3}{10} \times 12 = \frac{36}{10}$

26.

This table shows the ingredients Tarena will be using to make Trail Mix. It also shows the amount of each ingredient that is needed per batch and the amount of each ingredient that she currently has. Tarena will only buy more dried cranberries. What should Tarena do in order to calculate the number of cups of dried cranberries to buy from the store in order to make the largest number of batches possible?

A. Divide the amount of each ingredient by the amount per batch and round to the nearest whole number. Then take the least of the whole numbers and multiply it by the amount per batch of dried cranberries.

B. Divide the amount of each ingredient by the amount per batch and round to the nearest whole number. Then take the greatest of the whole numbers and multiply it by the amount per batch of dried cranberries.

C. Multiply the amount of each ingredient by the amount per batch and round to the nearest whole number. Then take the least of the whole numbers and multiply it by the amount per batch of dried cranberries.

D. Multiply the amount of each ingredient by the amount per batch and round to the nearest whole number. Then take the greatest of the whole numbers and multiply it by the amount per batch of dried cranberries.

27.

A rower has a stroke rate of 25 strokes per minute.

Which equation represents how many total strokes, t, the rower completes when rowing for m minutes?

t = 25m

m = 25t

t = m + 25

m = t + 25

28.

A school orders 720 calendars for a fundraiser. The total weight of the calendars is 390 pounds. What is the approximate unit weight in ounces per calendar?

0.54 ounce per calendar

1.85 ounces per calendar

8.67 ounces per calendar

29.54 ounces per calendar

29.

A container of laundry detergent holds 24 cups. A student uses $\frac{3}{8}$ cup of detergent each time they wash a load of laundry. How many loads of laundry can be washed using the whole container?

192

30.

A piece of wood with a length of 6 1/2 feet is cut into two smaller pieces. One of the smaller pieces has a length of 2 1/4 feet. Which equation can be used to find x, the length, in feet, of the second smaller piece of wood?

A. 2 1/4 x = 6 1/2

B. 6 1/2 x = 2 1/4

C. x + 2 1/4 = 6 1/2

D. x - 6 1/2 = 2 1/4

31.

A manager at a store sells bags of red apples and bags of green apples. These tables show the numbers of each type of apple in different numbers of bags. Which statement best describes the ratio of red apples per bag to the ratio of green apples per bag?

A. The ratios are the same because the greatest number of each type of apple is 72.

B. The ratios cannot be compared because the numbers of bags and the numbers of apples are different.

C. The ratio of red apples per bag is less than the ratio of green apples per bag because $\frac{24}{3}$ is less than $\frac{18}{2}$ .

D. The ratio of red apples per bag is greater than the ratio of green apples per bag because 24 is greater than 18.

32.

Points F, G, H, and I are plotted on this number line. Which point represents -1.2 on the number line?

point F

point G

point H

point I

33.

This table shows the prices of some camping gear. Jan buys a sleeping bag and f feet of rope. Which expression models Jan’s total cost?

59.95 + 0.79f

59.95 + 2.19f

89.75 + 0.79f

89.75 + 2.19f

34.

Diego rode his bicycle 12.6 miles in 1.5 hours. Which equation shows the unit rate, r, in miles per hour, that Diego rode his bicycle?

1.5 × 12.6 = r

1.5 ÷ 12.6 = r

12.6 + 1.5 = r

12.6 ÷ 1.5 = r

35.

Diego rode his bicycle 12.6 miles in 1.5 hours. If Diego rides at the same average rate, how many miles will he ride in 2.5 hours?

15.1

16.8

21.0

25.2

36.

The dot plot shows the number of push-ups some students did during the push-up challenge at a school. Based on the dot plot, which statement is true?

Seven students did more than 18 push-ups.

Half the students did more than 15 push-ups.

Thirty students participated in the push-up challenge.

Half the students did between 14 and 16 push-ups.

37.

Yin built a solar-powered model car that travels at a constant speed, modeled by the equation y = 20x, where x is the time in seconds, and y is the distance traveled in feet. Yin plotted four points based on his equation. Which point did Yin plot incorrectly?

Point A

Point B

Point C

Point D

38.

Akeem describes the net of a triangular prism in this way: "The net of a triangular prism has two square bases that are the same size and shape, and it has three triangular faces that connect the bases."

Is Akeem’s description of the net of a triangular prism correct?

yes, because triangular prisms have two bases and three faces

yes, because triangular prisms have square bases and triangular faces

no, because the net should have one triangular base and three triangular faces that meet at a single point at the top

no, because the net should have two triangular bases that are the same size and shape and three rectangular faces that connect the bases

39.

On Jasper’s farm, the ratio of cows to sheep is 4:1. There are 120 cows on the farm. How many sheep are on the farm?

40.

On Jasper’s farm, the ratio of cows to sheep is 4:1. There are 120 cows on the farm. What percent of the animals on the farm are sheep?

10%

20%

25%

30%

41.

Point P is shown on the coordinate plane.

Point Q: - will be plotted on the same coordinate plane - has one coordinate that is the same as point P - has one coordinate that is 2 less than the corresponding coordinate of point P - is across an axis from point P Which are the coordinates of point Q?

(−3, 1)

(−5, 1)

(−3, −1)

(−5, −1)

42.

The highest point in New Mexico is Wheeler Peak at an altitude of 13,161 feet.

Which statement can be used to describe a, the altitude, in feet, of any other location in New Mexico?

a > 13,161

a ≥ 13,161

a ≤ 13,161

a < 13,161

43.

Tyler’s fish tank is shaped like a rectangular prism. The dimensions of the fish tank are shown.

Tyler adds water to the tank until the surface of the water is 2 inches below the top of the tank.

What is the volume, in cubic inches, of the water in the tank?

966

1,054

1,302

2,604

44.

Which problem could be solved by dividing $\frac{2}{3}$ by $\frac{1}{6}$ ?

Lillie cuts $\frac{2}{3}$ of a pie into pieces. Each piece is $\frac{1}{6}$ of the total pie. How many pieces of pie does Lillie have?

Tucker cuts $\frac{2}{3}$ of a pizza into 6 slices. All the slices are the same size. What fraction of the whole pizza is each slice?

Ethan has $\frac{2}{3}$ of a granola bar. He gives $\frac{1}{6}$ of the bar to his brother. How much of the granola bar does Ethan still have?

Kaylinn has $\frac{2}{3}$ quart of milk. She pours $\frac{1}{6}$ of the milk into her cat’s dish. What fraction of the milk does Kaylinn still have?

45.

The shortest side of a triangle is $x$ units long.

The remaining two sides of the triangle are both 3 units longer than the shortest side.

Which expressions can be used to show the perimeter, in units, of the triangle?

Select the two correct expressions.

A. $3x + 6$

B. $3x + 9$

C. $3(x + 3)$

D. $x + x + x + 3$

E. $x + x + 3 + x + 3$

46.

A 15-ounce mixture of water and juice contains 3 ounces of water. What is the ratio of water to juice?

1:6

1:5

1:4

1:3

47.

Two points are graphed on the coordinate plane.

Point M is located at (2, -3). Point N is located at (-4, -8).

Which statement is true?

Both points are on the same side of the x-axis because both points have negative y-coordinates.

Both points are on the same side of the y-axis because both points have negative y-coordinates.

Both points are on opposite sides of the x-axis because point M has a positive and point N has a negative x-coordinate.

Both points are on opposite sides of the y-axis because both points have negative y-coordinates.

48.

This hexagon has six sides that are each approximately 2.3 units in length. Which calculation shows the approximate area, in square units, of this hexagon?

6 × 1/2 (2.3) × 1/2 (2) = 6.9

6 × 1/2 (2.3 × 2) = 13.8

6 × (2.3 + 2) = 25.8

6 × (2.3 × 2) = 27.6

49.

An inequality is shown. 2x < 9 Which numbers make the inequality true? Select all that apply.

D. 6

C. 5

E. 7

B. 4

A. 3

50.

The locations of Charlie’s and Luke’s houses are plotted on the grid below. Which expression can be used to find the distance, in units, between Charlie’s house and Luke’s house?

|4−7|

|2−7|

|2+7|

|4+7|

51.

Mr. Nelson wants to compare costs of the different brands of fertilizer.

In one of his comparisons, he determines this ratio for each brand:

price / (size of bag × percent nitrogen)

What will Mr. Nelson’s ratio determine?

percent nitrogen per square foot

dollars per pounds of nitrogen

percent nitrogen per dollar

dollars per square foot

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NM-MSSA Test Prep

Total questions: 51

Worksheet time: 3hrs 33mins

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