Problem Solving & Data Analysis

Ratios and Proportions

Set up and solve proportional reasoning problems. Each question below has a complete worked solution.

This collection of 25 SAT math practice questions on ratios and proportions is sequenced by difficulty so you can warm up on routine problems and progress to the kind of question that separates a competitive math score from an elite one. The first eight problems are calibrated to roughly easy College Board difficulty — the kind that appears in the first third of the math section. The next ten are medium difficulty: the bread-and-butter of the middle of the test. The final seven push into hard territory, where the question writers add an extra step, hide a sign change, or ask for an unrelated expression after you solve.

Work each question on paper before you look at the worked solution. The solution is there to confirm or correct your work, not to lead you. If you cannot start a problem after 30 seconds, mark it and come back; if you cannot finish after 90 seconds, look at the first line of the solution and try again. That structured exposure to the worked solution — not a glance, not a copy — is the most reliable way to convert a missed question into a permanent skill.

#QuestionDifficultyBand
1 In a class, the ratio of seniors to juniors is 7:6. If there are 143 students total, how many are se… easy 400-500 Open
2 In a class, the ratio of seniors to juniors is 7:9. If there are 48 students total, how many are sen… easy 400-500 Open
3 In a class, the ratio of seniors to juniors is 4:3. If there are 63 students total, how many are sen… easy 400-500 Open
4 In a class, the ratio of seniors to juniors is 7:2. If there are 54 students total, how many are sen… easy 400-500 Open
5 In a class, the ratio of seniors to juniors is 8:9. If there are 119 students total, how many are se… easy 400-500 Open
6 In a class, the ratio of seniors to juniors is 6:5. If there are 33 students total, how many are sen… easy 400-500 Open
7 In a class, the ratio of seniors to juniors is 9:4. If there are 52 students total, how many are sen… easy 500-600 Open
8 In a class, the ratio of seniors to juniors is 4:9. If there are 117 students total, how many are se… easy 500-600 Open
9 In a class, the ratio of seniors to juniors is 9:2. If there are 132 students total, how many are se… medium 500-600 Open
10 In a class, the ratio of seniors to juniors is 5:7. If there are 36 students total, how many are sen… medium 500-600 Open
11 In a class, the ratio of seniors to juniors is 7:6. If there are 104 students total, how many are se… medium 500-600 Open
12 In a class, the ratio of seniors to juniors is 4:5. If there are 27 students total, how many are sen… medium 500-600 Open
13 In a class, the ratio of seniors to juniors is 6:9. If there are 135 students total, how many are se… medium 600-700 Open
14 In a class, the ratio of seniors to juniors is 2:7. If there are 81 students total, how many are sen… medium 600-700 Open
15 In a class, the ratio of seniors to juniors is 8:4. If there are 48 students total, how many are sen… medium 600-700 Open
16 In a class, the ratio of seniors to juniors is 2:5. If there are 35 students total, how many are sen… medium 600-700 Open
17 In a class, the ratio of seniors to juniors is 6:6. If there are 144 students total, how many are se… medium 600-700 Open
18 In a class, the ratio of seniors to juniors is 8:2. If there are 60 students total, how many are sen… medium 600-700 Open
19 In a class, the ratio of seniors to juniors is 4:9. If there are 104 students total, how many are se… hard 600-700 Open
20 In a class, the ratio of seniors to juniors is 2:3. If there are 25 students total, how many are sen… hard 700-800 Open
21 In a class, the ratio of seniors to juniors is 7:3. If there are 70 students total, how many are sen… hard 700-800 Open
22 In a class, the ratio of seniors to juniors is 9:7. If there are 192 students total, how many are se… hard 700-800 Open
23 In a class, the ratio of seniors to juniors is 3:9. If there are 132 students total, how many are se… hard 700-800 Open
24 In a class, the ratio of seniors to juniors is 7:8. If there are 150 students total, how many are se… hard 700-800 Open
25 In a class, the ratio of seniors to juniors is 8:4. If there are 48 students total, how many are sen… hard 700-800 Open