Math Topics and Questions
Fractions and Decimals
Question 1: Convert the fraction 3/4 to a decimal.
Solution: 3 ÷ 4 = 0.75
Question 2: What is 2/5 + 1/3?
Solution: 2/5 + 1/3 = 6/15 + 5/15 = 11/15
Question 3: Convert 0.6 to a fraction in its simplest form.
Solution: 0.6 = 6/10 = 3/5
Geometry
Question 1: Calculate the area of a rectangle with length 8 cm and width 5 cm.
Solution: Area = length × width = 8 cm × 5 cm = 40 cm²
Question 2: What is the perimeter of a square with sides of 6 inches?
Solution: Perimeter = 4 × side = 4 × 6 inches = 24 inches
Question 3: Calculate the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm.
Solution: Volume = length × width × height = 4 cm × 3 cm × 5 cm = 60 cm³
Problem Solving
Question 1: If a recipe calls for 2/3 cup of sugar to make 12 cookies, how much sugar is needed to make 18 cookies?
Solution: 18 cookies is 1.5 times 12 cookies. So, we need 1.5 × 2/3 cup = 1 cup of sugar.
Question 2: A rectangular garden is 15 feet long and 10 feet wide. How many feet of fencing is needed to enclose the garden?
Solution: Perimeter = 2 × (length + width) = 2 × (15 feet + 10 feet) = 2 × 25 feet = 50 feet
Question 3: If you have $20 and want to buy notebooks that cost $2.50 each, how many can you buy?
Solution: Number of notebooks = $20 ÷ $2.50 = 8 notebooks