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HESI RATIOS AND PROPORTIONS EXAM QUESTIONS

HESI ENTRANCE EXAM Jan 8, 2026
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HESI RATIOS AND PROPORTIONS EXAM QUESTIONS

Actual Qs and Ans Expert-Verified Explanation

This Exam contains:

-Guarantee passing score -18 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation Question 1: John buys 3 bags of chips for $4.50. How much will it cost John to buy five bags of chips?

Answer:

x=$7.50 Question 2: Change the following fractions to ratios: 19/40

Answer:

19:40

Question 3: Change the fraction to a ratio.

Answer:

5/6 = 5 : 6

Steps

  • The numerator (5) is the first listed number.
  • Then write the colon.
  • Finally, place the denominator (6) after the colon.

Question 4: Solve the following for x: 15:x ? 3:8

Answer:

x=40 Question 5: Proportion:

Answer:

Two ratios that have equal values.Question 6: x:81 ? 9:27

Answer:

x=27

Question 7: Solve the proportion ( find the value of x ).

7:10 :: 14:x

Answer:

7:10 :: 14:x 7/10 = 14/x 7/10 x2/= 14/x 10 x 14 x =20

  • Rewrite the proportion as a fraction (this might help to see the solution).
  • Note that 7 × 2 = 14; therefore 10 × 2 = 20.
  • ? Multiply 14 × 10 (two diagonal numbers). The answer is 140.? 140 ÷ 7 = 20 (Divide the remaining number.)

  • The answer is 20.
  • Question 8: Solve the following for x: x:15 ? 120:225

Answer:

x=8 Question 9: The recipe states that 4 cups of sugar will make 144 cookies. How many cups of sugar are needed to make 90 cookies?

Answer:

x=2.5

Question 10: Solve the following for x: 7:5 ? 91:x

Answer:

x=65 Question 11: Solve the following for x: 360:60 ? 6:x

Answer:

x=1

Question 12: Solve the proportion (find the value of x).

x:63 ? 24:72.

Answer:

  • Rewrite the proportion as a fraction.

2. Multiply the diagonal numbers: 24 × 63 = 1512.

3. Divide the answer (1,512) by the remaining number: 1,512 ÷ 72 = 21.

  • The value for x is 21.

Question 13: Solve the proportion (find the value of x).

240:60 ? x:12.

Answer:

  • Rewrite the proportion as a fraction.

2. Multiply the diagonal numbers together: 240 × 12 = 2,880.

3. Divide the answer (2,880) by the remaining number: 2,880 ÷ 60 = 48.

  • The answer to x is 48.
  • Question 14: Change the following fractions to ratios: 22/91

Answer:

22:91

Question 15: HESI HINT:

Answer:

Ratios can be written several ways.

As a fraction: 5/12

Using a colon: 5:12

In words: 5 to 12

Proportions can be written two ways.

5/12 = 25/60

5 : 12 : : 25 : 60

NOTE: The numerator is listed first, then the denominator.

Question 16: Change the decimal to a ratio.

Answer:

0.025 > 25/1000 > 1/40 > 1 : 40

Steps

  • Change the decimal to a fraction.
  • Reduce the fraction.
  • The numerator (1) is the first listed number.
  • Then write the colon.
  • Finally, place the denominator (40) after the colon.
  • Question 17: Ratio:

Answer:

A relationship between two numbers.Question 18: Solve the following for x: 7:9 ? x:63

Answer:

x=49

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Category: HESI ENTRANCE EXAM
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