Solve proportional reasoning problems, from recipe ratios to unit conversions and constant-speed rate problems.
93 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 recipe calls for 2 cups of flour for every 3 cups of sugar. If a baker uses 9 cups of sugar, how many cups of flour are needed?
9 cups sugar is 3× the ratio amount (3 cups), so flour scales the same way: 2 × 3 = 6 cups.
The ratio of boys to girls in a class is 4:5. If there are 36 students total, how many girls are there?
The ratio 4:5 has 9 total parts. Each part represents 36 ÷ 9 = 4 students. Girls = 5 × 4 = 20.
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 3 cups of cement for every 6 cups of sand. If a baker uses 18 cups of sand, how many cups of cement are needed?
18 cups of sand is 3× the ratio amount (6 cups), so cement scales the same way: 3 × 3 = 9 cups.
A recipe calls for 5 cups of cement for every 4 cups of sand. If a baker uses 20 cups of sand, how many cups of cement are needed?
20 cups of sand is 5× the ratio amount (4 cups), so cement scales the same way: 5 × 5 = 25 cups.