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Cogito

Grade 7 Math · Chapter 3 · Lesson 5

Practice Worksheet

Finding the Original Price

Undoing a percent change.

10 problems · about 19 minutes · 7.RP.A.3

NameDate

Figure — use these to answer the problems

The part paid and the part discounted make the original.
paid and discount
the original
What was paid48
What was taken off12
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Simple Interest”

    £600 at 5% for 2 years. Interest in pounds?

    Answer

  2. From “Discounts and Sale Prices”

    £70 with 20% off. Pay in pounds?

    Answer

  3. From “Tax, Tips, and Markup”

    £90 with 20% added. Total in pounds?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. £64 after 20% off. Original in pounds?

    Answer

  2. £90 after 10% off. Original in pounds?

    Answer

  3. £75 after 25% off. Original in pounds?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. £120 after a 20% rise. Original in pounds?

    Answer

  2. Is adding 20% back to a discounted price correct? Answer 1 for yes, 0 for no.

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Sale Tag

    £40 after 20% off. What was the original, in pounds?

    Answer

  2. The Rise

    £110 after a 10% rise. What was the original, in pounds?

    Answer