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Percentages (incl. percent change) — SHSAT practice questions

Practice 150 Percentages (incl. percent change) questions in the app

What this topic is

On the SHSAT Mathematics section, Percentages (incl. percent change) covers finding a percent of a quantity, recovering an original from a known percent, and working percent increase, decrease, and discounts.

A student has to pick the correct base, convert a percent to a fraction or decimal, and reverse a change instead of applying it to the final figure. The exam uses short word problems that give a result after a percent of a number, an increase, or a markdown and ask for another percent of the same original or for the starting value.

Answer choices are nearby amounts from the wrong base or from treating a sale price as original.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Mid

40%40\% of a number is 32. What is 50%50\% of that number?

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Answer: B — 40

If 40%40\% of the number is 32, then the number is 32÷0.4=8032\div0.4=80. Half of 80 is 40.

Question 2Mid

After the number of volunteers increased by 15%15\%, there were 92 volunteers. How many volunteers were there before the increase?

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Answer: B — 80

92 is 115%115\% of the original number, so the original number is 92÷1.15=8092\div1.15=80.

Question 3Mid

A jacket is discounted by 30%30\% and sells for 42.00. What was the original price of the jacket?

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Answer: C — 60.00

If the original price is pp, then the sale price is 0.70p0.70p. Since 0.70p=420.70p=42, divide by 0.70 to get p=60p=60. The original price was 60.00.

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 150 Percentages (incl. percent change) questions in the app

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