Geometry
What is the area of a rectangle with a width of 7 cm and a length of 35 cm?
245 cm2
What is the ratio of the number of circles to the total number of shapes?
There are two circles, two squares, and one triangle.
2:5
What is the greatest common factor (GCF) of 9 and 28?
1
What is the coefficient of the variable in the following expression?
5z + (9/3)
5
21 / 3 = a or 21 / a = 3
a x 3 = 21 or 3 x a = 21
Becky is 7 years old.
Find the area of a triangle with a height of 22 ft and a base of 25 ft.
275 sq ft
Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?
2 tablespoons of salt
What is the least common multiple (LCM) of 9 and 12?
36
Ken and Tami are making necklaces. Ken makes 25 necklaces. Tami makes m more necklaces than Ken. Which expression represents the total number of necklaces Ken and Tami made?
A. 25 + (25 + m)
B. 25 + 25m
C. 25 + m
D. 25m
A. 25 + (25 + m)
A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of red and blue coloring will the factory need in the 50-gallon batch of purple paint?
1,200 red drops
800 blue drops
What is the volume, in cubic inches, of a right rectangular prism with the following measurements:
length: 8 in.
height: 5/8 in.
width: 1 3/4 in.
8 3/4 inches
A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo?
1:4
What is the greatest common factor of 20 and 15?
5
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Write an equation that can be used to solve for, w, the number of white eggs used last week?
46 + w = 231
or
231 - 46 = w
A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk?
128 servings
A rectangle has a shaded triangle within it.
The length of the rectangle is 8 cm. The width of the rectangle is 7 cm.
The shaded triangle has a height of 5 cm and a base of 4 cm.
What is the area, in square centimeters, of the part of the rectangle that is not shaded?
46 cm2
A farmer places beehives containing bees in her orchard to pollinate the plants. The table shows the ratio of the number of beehives to the number of acres in the orchard.
Beehives Per Acre
Number of Beehives: 3 9 12 18
Number of Acres: 8 24 32 ?
If the bees pollinate the plants at a constant rate, how many acres will be pollinated by the bees in 18 beehives?
48 acres
What is the least common multiple (LCM) of 18 and 3?
18
What number is not part of the solution set to the inequality below?
w -10 < or = 16
A. 11
B. 15
C. 26
D. 27
D. 27
A store sells two different packages of glue sticks as described below.
Package A: 18 glue sticks
Package B: 12 glue sticks
Write an equation for Package A and an equation for Package B that represent the total number of glue sticks, g, in p packages.
Then solve:
Ms. Wilson buys 5 packages of the Package A glue sticks. Dr. Condino buys 8 packages of the Package B glue sticks. Use your equations to find the difference in the total number of glue sticks that each person purchased.
Package A: 18p = g
Package B: 12p = g
Ms. Wilson
18(5) = 90 gluesticks
Dr. Condino
12(8) = 96 gluesticks
Difference
96 - 90 = 6 gluesticks
What is the surface area, in square inches, of the square pyramid?
The net has a square base. Each side of the base is 8 inches. The pyramid has triangular sides. The height of each triangular side is 10 inches.
224 inches2
The ratio of number of yards to number of miles is 3,520:2. How many yards are in 5 miles?
8,800 yards
What is the greatest common factor (GCF) of 54 and 27?
27
What is the value of the expression 5b + c3 when b= 7 and c= 4?
99
An office supply store sells boxes of pencils. Each box contains 160 pencils. Write an equation that represents the total number of pencils, y, in x boxes.
Then, find the total number of pencils the supply store sells in one day, if they sell 12 boxes (x = 12).
y = 160x or y/x = 160
y = 160(12); y = 1,920 pencils