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8th grade Loans: how the rate and the length change the total cost worksheet

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Loans: how the rate and the length change the total cost

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari reads Mr. Lane's pretend loan for a used car: $7,500 borrowed at 4.5% simple interest a year for 3 years. What is the total repaid?

  2. Esme reads Mr. Grove's pretend loan for a truck: $10,000 borrowed at 3.5% simple interest a year for 5 years. What is the total repaid?

  3. Ms. Reyes's pretend car loan offer is $5,000 at 6% simple interest a year, for 3 years or 5 years. How much more interest does Jun find for the 5-year loan?

  4. Mr. Dunn's pretend truck loan offer is $12,000 at 4% simple interest a year, for 2 years or 4 years. How much more interest does Kira find for the 4-year loan?

  5. Mr. Cole's pretend van loan offer is $9,000 at 5% simple interest a year, for 4 years or 6 years. How much more interest does Milo find for the 6-year loan?

  6. Mr. Grove compares two pretend car loans of $6,000 for 3 years, at 4% and at 7% simple interest a year. How much more interest does Noah find at 7%?

  7. Ms. Shaw compares two pretend truck loans of $15,000 for 5 years, at 3% and at 5% simple interest a year. How much more interest does Pia find at 5%?

  8. Tala checks Ms. Hale's two pretend $5,000 car loans at simple interest. Loan A is 4% a year for 6 years; Loan B is 6% a year for 3 years. Which costs less to repay?

    • Loan B
    • Loan A
    • Both cost the same
  9. Ari checks Ms. Reyes's two pretend $3,000 couch loans at simple interest. Loan A is 7% a year for 2 years; Loan B is 4% a year for 4 years. Which costs less to repay?

    • Loan B
    • Loan A
    • Both cost the same
  10. Bo checks Mr. Cole's two pretend $6,000 van loans at simple interest. Loan A is 8% a year for 2 years; Loan B is 5% a year for 3 years. Which costs less to repay?

    • Both cost the same
    • Loan B
    • Loan A
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8th grade Loans: how the rate and the length change the total cost worksheet – printable
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About this worksheet

Loans: how the rate and the length change the total cost. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the total repaid and the cost of a loan from a payment table.
  • I can show how a longer loan or a higher rate makes a loan cost more, and pick the loan that costs less.
  • I can find the balance on a credit card at compound interest, and the fees on a short-term loan.

Standard: state-only

Words to know

loan: Money borrowed now and paid back later, with interest or fees.

cost of the loan: Everything repaid minus the amount borrowed.

simple interest: Interest on the amount borrowed only, the same every year.

compound interest: Interest on the new balance each time, so interest earns interest.

short-term loan: A small loan for two weeks, with a fee for each $100.

Common mistakes

Your child added the payment and the number of payments. Equal payments are multiplied: 24 payments of $275 is 24 × $275.

Your child gave only the interest. The total repaid (or the balance) also includes the amount borrowed.

Your child gave everything repaid when the question asked only for the extra cost (the interest or the fees).

Questions parents ask

What is the most common mistake with loans: how the rate and the length change the total cost?

Your child added the payment and the number of payments. Equal payments are multiplied: 24 payments of $275 is 24 × $275.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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