Perfect Squares & Square Roots
What is the square root of 144?
12
What is 25% of 160?
40
Write the ratio of 8 to 12 in simplest form.
2:3
How many faces does a rectangular prism have?
6
In a right triangle with legs 3 and 4, what is the hypotenuse?
5
Find the next three perfect squares after 152.
256, 289, 324
Convert the decimal 0.375 to a percent.
37.5%
If a car travels 150 kilometers on 55 Litres of gas, what is the unit rate in km per L?
2.73 km/L
Name the 2D net shape group you would use to make a cube.
squares
Determine if the triangle with side lengths 6, 8, and 10 is a right triangle. Explain.
yes. because 62 + 82 = 102 or 36 + 64 = 100
What is the approximate value of the square root of 50?
7.1
A jacket is marked at $80 with a 20% discount. What is the sale price?
64
Solve the proportion: 3/x = 9/12
x=4
Calculate the surface area of a cube whose side length is 4 units.
96 units3
A ladder leans against a wall; the foot is 9 ft from the wall and the ladder reaches 12 ft up the wall. How long is the ladder?
15. because (92 or) 81 + (122 or)144 = 225. And the square root of 225 is 15.
A square has area 88 square units. Is the side length an integer? Justify your answer and, if not integer, give the approximate side length.
9.4(ish)
Find the original price if an item sells for $54 after a 10% markdown.
$60
A recipe uses 2 cups of flour for every 3 cups of sugar. How much flour is needed for 7.5 cups of sugar?
5 cups of flour
Find the volume of a rectangular prism with length 8 cm, width 3cm, and height 5cm. V=lxwxh
120 cm3
In a right triangle with one leg of length 5 and the hypotenuse is 11, what is the length of the second leg ?
9.8
Solve for x: x2=289. Include both possible solutions.
17 and -17
A student scored 45 out of 62 on a test. What percent did they earn? Round to the nearest tenth of a percent.
72.6%
Find x and y if 3:5:7 = 12:x:y
x = 20 and y = 28
A triangular prism has a triangular base with base 6 cm and height 4cm, and prism length 10cm. Find the volume. V=AbaseXh
120 cm3
Find the dimensions of a square with a diagonal 10 cm. Round to the nearest tenth.
102 = x2 + x2
100 = 2x2
50 = x2
square root of 50 is 7.1