Ratios and Proportional Relationships: math test, Grade 7 – download the PDF

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Suggested time: 45 minutes. Out of 20 points. Calculator allowed only when the problem says so.

Sommaire

a) A runner covers $ \dfrac{3}{8} $ mile in $ \dfrac{1}{12} $ hour. Find her speed in miles per hour.

b) Two and a half pounds of cheese cost $18.75. Find the price per pound, then the cost of $ 3\dfrac{1}{2} $ pounds.

A 3D printer uses $ y $ grams of filament in $ x $ minutes.

x (minutes)	3	5	8	12
y (grams)	10.5	17.5	28	42

a) Is the relationship proportional? Justify.

b) Give the constant of proportionality and its meaning.

c) Write an equation.

The graph shows the height in feet $ y $ of a drone after $ x $ seconds.

a) Explain why the graph shows a proportional relationship.

b) Give the point with $ x = 1 $ and explain what it means.

c) Write the equation.

A backpack costs $120. It is on sale for 30% off, and then 6% sales tax is added to the sale price.

a) Find the sale price.

b) Find the final cost.

A drink uses juice concentrate and water in the ratio $ 2:7 $.

a) How many cups of each are in 45 cups of drink?

b) How many cups of concentrate are needed for 63 cups of drink?

The gallons of paint $ y $ needed for $ x $ identical rooms satisfy $ y = 0.75x $.

a) What does 0.75 mean in this situation?

b) How many rooms can be painted with 6 gallons?

Test yourself: quick challenge for Grade 7