Solve proportional reasoning problems, from recipe ratios to unit conversions and constant-speed rate problems.
66 original ratios, rates, proportions, and units questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.
A car travels at a constant speed of 60 miles per hour. How many miles does it travel in 45 minutes?
45 minutes is 0.75 hours. Distance = 60 × 0.75 = 45 miles.
A recipe calls for 2 cups of concentrate for every 5 cups of water. If a baker uses 25 cups of water, how many cups of concentrate are needed?
25 cups of water is 5× the ratio amount (5 cups), so concentrate scales the same way: 2 × 5 = 10 cups.
A recipe calls for 6 cups of flour for every 2 cups of sugar. If a baker uses 14 cups of sugar, how many cups of flour are needed?
14 cups of sugar is 7× the ratio amount (2 cups), so flour scales the same way: 6 × 7 = 42 cups.
A recipe calls for 2 cups of concentrate for every 6 cups of water. If a baker uses 30 cups of water, how many cups of concentrate are needed?
30 cups of water is 5× the ratio amount (6 cups), so concentrate scales the same way: 2 × 5 = 10 cups.
A recipe calls for 5 cups of flour for every 4 cups of sugar. If a baker uses 28 cups of sugar, how many cups of flour are needed?
28 cups of sugar is 7× the ratio amount (4 cups), so flour scales the same way: 5 × 7 = 35 cups.