6th Grade: Ratios & Proportions
A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how many cups of sugar do you need?
What is 9 cups of sugar?
A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?
What is 50 miles per hour?
Simplify: 3x + 5 + 2x - 3
What is 5x + 2?
What is the slope of a line passing through the points (0, 3) and (2, 7)?
What is 2?
This is the only even prime number.
What is 2?
If 5 pencils cost $2.50, what is the cost per pencil?
What is $0.50 per pencil?
What is 3/4 + 1/3? Give your answer as a fraction.
What is 13/12 (or 1 and 1/12)?
Solve for x: 2x + 7 = 19
What is x = 6?
What is the y-intercept of the equation y = -3x + 5?
What is 5 (or the point (0, 5))?
In Roman numerals, this number is written as XLVII.
What is 47?
On a map, 1 inch = 25 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
What is 87.5 miles?
What is 20% of 85?
What is 17?
A number is multiplied by 4, then 9 is subtracted. The result is 23. Write and solve the equation to find the number.
What is 8? (4n - 9 = 23)
This table of values: (1, 3), (2, 6), (3, 9), (4, 12) — is this relationship linear or non-linear? How do you know?
What is linear? (The values increase by a constant rate of 3 each time.)
This number is called a "perfect number" because all of its factors (not counting itself) add up to equal it. The smallest perfect number is less than 10.
What is 6? (Its factors are 1, 2, and 3, and 1+2+3=6)
The ratio of boys to girls in a class is 3:4. If there are 28 students total, how many are boys?
What is 12 boys?
A shirt originally costs $40 and is on sale for 35% off. What is the sale price?
What is $26?
Solve the inequality: 3x - 4 > 11. Then graph the solution on a number line (describe the graph).
x>5
(5)-------------->
Solve the system of equations: y = 2x + 1 and y = -x + 7. What is the solution?
What is (2, 5)?
A circle has a radius of 5. Using pi ≈ 3.14, what is its area? (Hint: A = πr²)
What is 78.5 square units?
Juice A: $3.60 for 12 oz. Juice B: $5.00 for 20 oz. Which is the better buy, and what is each unit price?
What is Juice B? (Juice A = $0.30/oz, Juice B = $0.25/oz)
Order these values from LEAST to GREATEST: 0.6, 5/8, 3/5, 62%
What is 3/5, 0.6, 62%, 5/8?
The perimeter of a rectangle is 54 cm. The length is 3 more than twice the width. Write and solve a system to find both dimensions.
What is width = 8 cm and length = 19 cm?
A line has a slope of -2/3 and passes through the point (3, 1). Write the equation of the line in slope-intercept form (y = mx + b).
What is y = -2/3 x + 3?
There are exactly this many seconds in a 24-hour day. (Hint: 60 x 60 x 24)
What is 86,400 seconds?