Practice Test GeeksIMSA - Intermediate Math Skill Assesment Practice Test
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Ratios, Proportions, and Percentages Flashcards

7 cards from real IMSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. If 40% of a number equals 28, what is the number?

    Answer: 70

    Setting up 0.40x = 28 and dividing both sides by 0.40 gives x = 70.

  2. In a proportion a/b = c/d, which of the following must always be true?

    Answer: a × d = b × c

    The cross-multiplication property of proportions states that a × d = b × c.

  3. A student scored 72 out of 90 on a test. What percentage did the student score?

    Answer: 80%

    72 ÷ 90 × 100 = 0.80 × 100 = 80%.

  4. Two numbers are in the ratio 4:7. Their sum is 99. What is the larger number?

    Answer: 63

    Let the numbers be 4x and 7x; then 4x + 7x = 99, so x = 9 and the larger number is 7 × 9 = 63.

  5. A tank is 40% full. After adding 30 liters, it becomes 70% full. What is the total capacity of the tank?

    Answer: 100 liters

    The 30 liters added represents 70% − 40% = 30% of the capacity, so capacity = 30 ÷ 0.30 = 100 liters.

  6. An item costs $45 after a 25% discount. What was the original price?

    Answer: $60

    $45 is 75% of the original price, so original = 45 ÷ 0.75 = $60.

  7. The ratio of A to B is 3:5 and the ratio of B to C is 4:7. What is the ratio of A to C?

    Answer: 12:35

    Making B common: A:B = 12:20 and B:C = 20:35, so A:C = 12:35.