8th Grade ACT Aspire Math Review

What is the formula for the circumference of a circle?

• Circumference = πd, where d is the diameter.

• Circumference = 2πr, where r is the radius.

• Circumference = πr^2, where r is the radius.

• Circumference = 2r, where r is the radius.

What is the result of 3x + 8x?

• 9x

• 10x

• 11x

• 12x

What is the formula for the volume of a rectangular prism?

• Volume = length × width × height.

• Volume = length + width + height.

• Volume = length × width + height.

• Volume = length × height × width.

What is scientific notation?

• A method for calculating square roots of large numbers.

• A way of expressing numbers that are too large or too small to be conveniently written in decimal form. The first number must be greater than 1 and less than 10, followed by a power of 10.

• A technique used to convert fractions into decimals.

• A system for organizing data in a spreadsheet.

What is the square root of 100?

• 8

• 9

• 10

• 12

Solve for x: 3x - 5 = 4.

• x = 1

• x = 2

• x = 3

• x = 4

What does it mean for a number to be in scientific notation?

• It means the number is expressed as a product of a number between 1 and 10 and a power of 10.

• It means the number is written in decimal form only.

• It means the number is rounded to the nearest whole number.

• It means the number is expressed as a fraction of two integers.

Which equation represents the relationship between the height, width, and diagonal of a right triangle?

• @@30^2 + b^2 = 40^2@@ where b is the width.

• @@30^2 + b^2 = 50^2@@ where b is the height.

• @@b^2 + 40^2 = 50^2@@ where b is the width.

• @@30^2 + 40^2 = b^2@@ where b is the diagonal.

If a triangle has sides of length 3 and 4, what is the length of the hypotenuse?

• 4

• 5

• 6

• 7

What is the formula for the area of a rectangle?

• Area = length × width.

• Area = length + width.

• Area = length - width.

• Area = length ÷ width.