Simple Interest Formula/Vocab
Calculating Simple Interest
Word Problems for Simple Interest
Rearranging I=PRT
Converting % to Decimals and Months to Years
100

What does the letter R stand for in the Simple Interest formula?

The interest rate

100

Calculate interest on $2,000 at 7% p.a. for 4 years. (Correct to 2 decimal places)

Interest = $560.00

100

Cathy deposits $3600 at 5% per annum for 2 years. How much simple interest does she earn?

Interest = $360.00

100

If you invest $2,000 and earn $300 in simple interest over 3 years, what is the annual interest rate? (Write answer as a percentage).

HINT: R = I divided by P x T

Interest Rate = 5%

300 divided by 2000 x 3 = 0.05

100

What is 5 months in years? (2 decimal places)

0.42

200

What does the principal (P) mean in the Simple Interest formula?

The principal is the original amount of money you start with. It is either the amount borrowed or the amount invested.

200

Calculate interest on $5,000 at 3.75% p.a. for 5 years. (Correct to 2 decimal places)

Interest = $937.50

200

Over 3 years, Lucy invests $4588. The interest rate is 5.2% per annum. How much simple interest does she earn?

Interest = $715.73

200

Kade borrows $1,500 at an interest rate of 4% per annum. If he pays $240 in simple interest, how many years did he borrow the money for?

HINT: T = I divided by P x R

Time = 4 years

240 divided by 1500 x 0.04 = 4

200

What is 12.5% as a decimal?

0.125

300

What is the extra cost you pay to borrow money, or the extra cash you earn when you save money?

The interest

300

Calculate the monthly interest on $813 at 4.45% per month, for 9 months. (Correct to 2 decimal places)

Interest = $329.27

300

Kade invests $9200 over a 6 month period. The interest rate is 8% per annum. How much simple interest does he earn?

Interest = $368.00

300

Lucy earns $180 in simple interest over 3 years at a rate of 6% p.a. How much money did she originally invest?

HINT: P = I divided by R x T

P = $1000.00

300

What is 137% as a decimal?

1.37

400

What is the simple interest formula?

I = PRT

400

Calculate interest on $1,000 at 6% p.a. for 15 months. (Correct to 2 decimal places)

Interest = $75.00

You could have divided 6% by 12 or divided 15 by 12. You'll get the same answer.

400

Mark invests $1500 over a 21 month period. The interest rate is 4% per annum. What is the total amount he will end up with?

Total Amount = $1605.00

If I = $105, you add the interest to the principal (original amount).

400

Kye borrows $3,200 over an 18-month period and pays $275 in simple interest. What is the annual interest rate as a percentage? (Correct to 2 decimal places).

HINT: R = I divided by P x T

Interest Rate = 5.73%

Divide 18 months by 12 = 1.5

275 divided by 3200 x 1.5 = 0.05729...

400

What is 3.305% as a decimal?

0.03305

500

When rearranged, what is the simple interest formula to find R (the rate)?

R = I divided by P x T

500

Calculate interest on $4,500 at 12% p.a. for 309 days. (Correct to 2 decimal places)

Interest = $457.15

You could have divided 12% by 365 or divided 309 days by 365. You'll get the same answer.

500

Jemma invests $4000 at 6% p.a. for 5 years.

Alex invests $4000 at 4% p.a. for 7 years.

Who will have the higher amount of simple interest and by how much?

Jayda will have a higher interest by $80.00.

500

Sarah earns $95 in simple interest over 200 days. She originally started with $3800. What is the annual interest rate as a percentage? (Correct to 2 decimal places).

HINT: R = I divided by P x T

Interest Rate = 4.56%

Divide 200 days by 365 = 0.547...

95 divided by 3800 x 0.547... = 0.045625

500

What is 266 days in years? (2 decimal places)

0.73