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

Score band 700-800 · Problem Solving & Data Analysis

Percentages and Percent Change drills for 700-800

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Targeted practice for students currently scoring in the 700-800 range, drilling exclusively on percentages and percent change.

What a 700-800 scorer needs from this topic

The 700 to 800 band is the elite tier of SAT Math. Reaching it requires zero careless errors and confident solves on the hardest one or two questions in each module. Mastery-band drills focus on the hardest released questions: multi-concept problems that combine two or three skills in one stem, abstract algebraic manipulation with parameters instead of numbers, geometry questions that require a clever construction, and data-analysis questions that test conceptual understanding rather than computation. At this level, speed matters as much as accuracy, because the only way to leave time for the hardest questions is to dispatch the easy and medium ones in well under a minute each.

For Percentages and Percent Change specifically, students in the 700-800 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 700-800 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. 700-800 hard Percent in Word Problems

    A jacket originally priced at $895 is marked down by 20%. What is the sale price?

    1. A 711.00
    2. B 716.00
    3. C 895.00
    4. D 721.00
    Worked solution

    Answer: B — 716.00

    Discount = 895 × (20/100) = 179.00. Sale price = 895 - 179.00 = $716.00.

  2. 700-800 hard Percent of a Quantity

    A stock priced at $935 rises by 20% in one week, then falls by 20% the next week. What is the final price?

    1. A 902.60
    2. B 892.60
    3. C 897.60
    4. D 935.00
    Worked solution

    Answer: C — 897.60

    After the first week: 935 × (1 + 20/100). After the second week: multiply by (1 - 20/100). The result is 935 × (1 - 400/10000) = $897.60. Note: this is less than the original, even though the percentages are equal — a common SAT trap.

  3. 700-800 hard Percent Increase and Decrease

    A laptop originally priced at $920 is increased by 20%. What is the new price?

    1. A 1,104.00
    2. B 1,109.00
    3. C 1,099.00
    4. D 920.00
    Worked solution

    Answer: A — 1,104.00

    Increase = 920 × (20/100) = 184.00. New price = 920 + 184.00 = $1,104.00.

  4. 700-800 hard Successive Percent Changes

    A jacket originally priced at $590 is marked down by 10%. What is the sale price?

    1. A 531.00
    2. B 526.00
    3. C 536.00
    4. D 590.00
    Worked solution

    Answer: A — 531.00

    Discount = 590 × (10/100) = 59.00. Sale price = 590 - 59.00 = $531.00.

  5. 700-800 hard Percent in Word Problems

    A stock priced at $445 rises by 15% in one week, then falls by 15% the next week. What is the final price?

    1. A 445.00
    2. B 439.99
    3. C 429.99
    4. D 434.99
    Worked solution

    Answer: D — 434.99

    After the first week: 445 × (1 + 15/100). After the second week: multiply by (1 - 15/100). The result is 445 × (1 - 225/10000) = $434.99. Note: this is less than the original, even though the percentages are equal — a common SAT trap.

  6. 700-800 hard Percent of a Quantity

    A laptop originally priced at $410 is increased by 15%. What is the new price?

    1. A 466.50
    2. B 476.50
    3. C 410.00
    4. D 471.50
    Worked solution

    Answer: D — 471.50

    Increase = 410 × (15/100) = 61.50. New price = 410 + 61.50 = $471.50.

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.

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