Ratios & Rates
A robotics team consists of 10 programmers, 5 builders, and 3 designers.
What is the ratio of programmers to designers?
10:3
What is 1/3 divided by 5/6?
2/5
What is the distance between the points (1,-6) and (1,-2) on a coordinate plane?
4 units
What is the value of the given expression?
53 - 34
44
A rectangle with dimensions measured in meters (m) are 6m long and 3m heigh. What is its area?
18 m2
A bike costs $160. The bike is on sale for 45% off. How much money is taken off the cost of the bike?
$72
A rectangle has a length of 1 1/4 inches and an area of 3/4 square inch. What is the width of the rectangle?
3/5 inch
What is the distance between point R, located at (-7,5), and point T, located at (2,5) on the coordinate plane?
9 units
Which expression is equal to 81?
34 43 29 81
34
A square is decomposed into 3 identical rectangular pieces. if the one side of the square measure 9 in, what is the area of one of the rectangles?
27 in2
The six grade class had an election for class president. Out of 100 students, 34 students voted for Jacob to be class president. What is the ratio of students that voted for Jacob to students that did not voted for Jacob?
34:66
Aniah wants to decorate her notebook by placing 1 row of stickers along the notebook's width, with no overlaps or gaps between the stickers. Her notebook is 11 1/4 inches wide. Each sticker is 3/4 inch wide. What is the exact number of stickers Aniah needs?
15 stickers
A number Y is located to the left of 12 on a number line. Which iniquality describes this situation?
y > 12
Write the expanded form to exponential form
(3.8)(3.8)(3.8) + (2)(2)(2)
3.83 + 23
A rectangular prism has these dimensions:
l=11 inches
w=8 inches
h=2 inches
Given the formula V= lwh, What is the volume of the prism, V?
176 cubic inches
176 in3
A high school has 2,500 students. Of those students, 24% are in 9th grade. What is the total number of 9th-grade students at the high school?
600 students
Daniel wants to make some trail mix. Each batch of trail mix requires 1/6 cup of raisins. He has 2/3 cup of raisins. Which equation can be used to find the number of batches of trail mix, n, that Daniel can make?
2/3 divided by 1/6 = n
Two inequalities are shown:
-10 < x
|x| > 4
Which value of x will make both inequalities true?
-12. -5 3 0
-5
Which expression represents 4 more than twice a number, p?
2p + 4
A shape composed of a square and a triangle has the following dimensions:
longer length 10 in
shorter length 5 in
height 5 in
What is the are of the shape?
37.5 in2
Brianna has a collection of seashells.
*Scotch bonnet shells make up 95, or 38%, of the seashell collection.
*Whelk shells make up 28% of the seashell collection.
What is the total number of whelk shells in Brianna's seashell collection?
70 whelk shells
Which expression represents the amount of a birthday cake each person gets when 5 people share 1/2 of the cake equally?
1/2 divide by 5
The thermometer at Maria's house shows a temperature of -30 Fahrenheit. The thermometer at Jordan's house shows a temperature of -70 Fahrenheit.
Which inequality represents this situation?
Which thermometer shows a warmer temperature?
-30F < -70F ; Maria's thermometer shows a warmer temperature.
Damian spent $3.15 printing pages for his science project. It cost $0.15 to print each page. Which equation can be used to find p, the number of pages that Damian printed?
0.15p = 3.15
A trapezoid is composed of a rectangle with dimension 7ft length by 6ft width, and two right triangles with a 4ft length.
What is the complete are of the whole trapezoid?
66 ft2