ScoreReady SAT
Drill by score band: 400–500 500–600 600–700 700–800

Score band 500-600 · Problem Solving & Data Analysis

Percentages and Percent Change drills for 500-600

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Targeted practice for students currently scoring in the 500-600 range, drilling exclusively on percentages and percent change.

What a 500-600 scorer needs from this topic

The 500 to 600 score band is where most students start when they first sit a practice SAT. Questions in this band still test single concepts, but the numbers get less friendly and the stems get longer. The College Board starts adding distractors that punish students who solved correctly but answered the wrong question. To break out of this band, you need to combine accuracy on the easy questions with a willingness to slow down on the medium ones. Building-band drills focus on the most common medium-difficulty patterns released by the College Board: word-problem translation, multi-step arithmetic, two-variable systems with messy coefficients, and proportional reasoning with awkward unit conversions.

For Percentages and Percent Change specifically, students in the 500-600 band need to focus on the question patterns the College Board uses at this difficulty level. Compute percent of, percent change, and successive percent operations. The questions below are pulled from the ScoreReady question bank and filtered to the 500-600 band based on difficulty calibration that matches publicly released College Board practice materials.

Drill these untimed first. Once you can produce a clean worked solution on paper for every question without notes, switch to timed mode and aim for under 75 seconds per question. That pace is roughly the average time per question on the actual SAT Math section, and it leaves time for the harder questions you will see at the end of each module.

Practice set

  1. 500-600 easy Successive Percent Changes

    A laptop originally priced at $750 is increased by 25%. What is the new price?

    1. A 942.50
    2. B 937.50
    3. C 932.50
    4. D 750.00
    Worked solution

    Answer: B — 937.50

    Increase = 750 × (25/100) = 187.50. New price = 750 + 187.50 = $937.50.

  2. 500-600 easy Percent in Word Problems

    A jacket originally priced at $640 is marked down by 40%. What is the sale price?

    1. A 389.00
    2. B 384.00
    3. C 379.00
    4. D 640.00
    Worked solution

    Answer: B — 384.00

    Discount = 640 × (40/100) = 256.00. Sale price = 640 - 256.00 = $384.00.

  3. 500-600 medium Percent of a Quantity

    A stock priced at $750 rises by 20% in one week, then falls by 20% the next week. What is the final price?

    1. A 725.00
    2. B 715.00
    3. C 720.00
    4. D 750.00
    Worked solution

    Answer: C — 720.00

    After the first week: 750 × (1 + 20/100). After the second week: multiply by (1 - 20/100). The result is 750 × (1 - 400/10000) = $720.00. Note: this is less than the original, even though the percentages are equal — a common SAT trap.

  4. 500-600 medium Percent Increase and Decrease

    A laptop originally priced at $495 is increased by 15%. What is the new price?

    1. A 564.25
    2. B 574.25
    3. C 495.00
    4. D 569.25
    Worked solution

    Answer: D — 569.25

    Increase = 495 × (15/100) = 74.25. New price = 495 + 74.25 = $569.25.

  5. 500-600 medium Successive Percent Changes

    A jacket originally priced at $650 is marked down by 10%. What is the sale price?

    1. A 650.00
    2. B 585.00
    3. C 590.00
    4. D 580.00
    Worked solution

    Answer: B — 585.00

    Discount = 650 × (10/100) = 65.00. Sale price = 650 - 65.00 = $585.00.

  6. 500-600 medium Percent in Word Problems

    A stock priced at $890 rises by 25% in one week, then falls by 25% the next week. What is the final price?

    1. A 839.38
    2. B 890.00
    3. C 834.38
    4. D 829.38
    Worked solution

    Answer: C — 834.38

    After the first week: 890 × (1 + 25/100). After the second week: multiply by (1 - 25/100). The result is 890 × (1 - 625/10000) = $834.38. Note: this is less than the original, even though the percentages are equal — a common SAT trap.

How to use these drills to climb a band

Climbing from one score band to the next requires a different study mix than climbing within a band. Within a band, you are mostly fixing careless errors and pattern-recognizing the question types you already understand. Climbing to the next band means adding new question types to your toolbox — patterns you currently recognize but cannot solve fluently. The 700–800 set in this drill is exactly that toolbox for students currently in the 600–700 range.

The single most reliable indicator that you are ready to move up a band is being able to explain a worked solution to someone else, in your own words, without referring to notes. Practice this with one classmate or one parent per week. The act of teaching exposes the gaps your timed solves did not.

Other 500-600 drills