6th grade FSA Math Review

Proportions

100

You type 500 words in 250 minutes; find the number of words per minute you type.

What is 2 words per minute?

200

The bus holds 32 students and there are 192 students to use the bus, find the number of students per bus.

What is 6 students per bus?

300

Drew rode his bicycle 3 miles in 30 minutes. What is his average speed, expressed as a unit rate?

What is .1 miles/ 1 minutes

400

It took Sergio 2 hours to read 5 chapters of a book. If he continues reading at a constant rate and the chapters are similar in length, how many hours will it take Sergio to complete the entire book if it is 6 chapters long?

What is 6.4 hours or 6 2/5 hours 0r 6 hours and 24 minutes

500

Justine is mixing yellow and red paint to make orange paint. Below is the ratio of drops of red paint to drops of yellow paint needed to make orange paint. 2 red to 5 yellow, 8 red to 20 yellow, 6 red to 15 yellow. How many drops of red paint are needed when 35 drops of yellow paint are used?

What is 14 drops of red?

Equations and Expressions

100

Hannah wants to rent a bike.  Bike rentals cost $15 per hour plus a one-time fee of $8.  Write an equation to represent the relationship between the number of hours, h Hannah rents the bike and the total cost, c.

What is c = 15h + 8?

200

Simplify the expression 2( 3x + 1 ) + 7

What is 6x + 9

300

Daniel is saving money to go to summer camp. He had $43.25 and then added all of his allowance for the month. He has $60.25 after adding his allowance. Write and solve an equation to determine how much allowance, x, Daniel received.

What is $43.25 + x= $60.25 x= $17.00

400

Marvin has a rock collection that is 1/17 the size of Jenna's rock collection. Marvin has 28 rocks in his collection. Write and solve an equation to find how many rocks are in Jenna's collection. Let x represent the number of rocks in Jenna's collection.

What is 1/17(x) = 28 x = 476 rocks in Jenna's collection

500

Paul sells apples at the farmer's market. He sells each pound of apples for $2, but he must pay $25 of the money he makes to the market. Write and solve an expression to determine how much Paul will make if he sells68 pounds of apples.

What is 2(68) - 25 $111.00 is what Paul will make

Inequalities

100

Aaron's wrestling coach placed him in the lowest weight class. All the wrestlers in this weight class weigh under 70 pounds. If w stands for Aaron's weight, write an inequality that BEST represents his current weight.

What is w < 70

200

The highest point on Earth is the peak of Mount Everest, which has an altitude of 29,035 feet above sea level. Write an inequality to describe the altitude of all other points(p) on Earth.

What is p < 29.035

300

Which of the following is a solution to the inequality 2x + 9 > 15?

    A.  1           B.  2            C.   3            D.  4

What is D?

400

Alonzo has taken 3 out of 4 math tests this semester and has scored 90, 85, and 92. To earn an A for the course, Alonzo needs to get a total of more than 359 points on the 4 tests. Write and solve an inequality to determine how many points Alonzo needs on his fourth test to get a grade of an A. Use t to represent the fourth test grade.

What is 90 + 85 + 92 + t is greater than or equal to 359 t is greater than or equal to 92

500

A biologist is monitoring the number of bass fish, x, in a certain pond throughout the year. She calculates that the pond conditions are ideal when the number of fish is 350 < x < 550 During each of her visits to the pond last year, the biologist estimated the number of bass to be 375,600, 550, 450, and 575. Which estimates make the inequality for ideal pond conditions true?

What is 475 and 450

Integers and the Coordinate Plane

100

What is the least common multiple of 8 and 12?

What is 24

200

What is the absolute value of a number?  Give a definition and an example.

What is "the absolute value of a number is how far away that number is from zero".  An example would be:  The absolute value of (-15) is 15 because it is 15 units away from zero.

300

Which list orders integers from greatest to least?

    A.  12, 11, -13, -5, -8

    B.  -9, -5, -3, 1, 2

    C.  12, 1, -3, -5, -8

    D.  1, 2, -8, -5, -3

What is C?

400

Three vertices of a rectangle are represented by the points ( 4, -3 ) ( 4, 5 ) and ( 7, 5) What are the coordinates of the fourth point? What is the length of the side connecting the fourth point to ( 7, 5)?

What is fourth point ( 7, -2 ) the length is 8 units

500

What would the other 2 coordinates of a square if one vertex is located at (-3, -1) and a second vertex is located at (3, -1)?

What is (-3,5) and (3,5)?

Geometry

100

Find the area of a triangle with a height of 10 feet and a base of 15 feet.

What is 75 square feet?

200

Find the volume of the following prism:

Length 7 inches, Width 6 inches, Height 5 inches of a rectangular prism

What is 210 cubic inches?

300

Find the area of a trapezoid with the following dimensions:

height is 12 meters

base is 4 meters

base is 10 meters

What is 84 square meters?

400

What is the volume of a rectangular prism with the following dimensions?
4.5 centimeters by 2.5 centimeters by 3 cm

What is 33.75 square centimeters?

500

Find the surface area of a square pyramid.  The height of the triangular face is 4 feet and the base of the square base is 6 feet.  (HINT:  drawing a picture will be VERY helpful!!!!!)

What is 84 square feet?