Problem Solving Cycle
Fractions
Tax, Tip, Discount, Markup
Simple Interest
Compound Interest
100

The second step of the PSC

What is Analyze?

100

2/3 * 1/2

What is 1/3?

100

The discount of a $30 shirt marked 15% off

What is $4.50?

100

The interest of $1,500 at 2% interest for 7 years

What is $210?

100

The amount of money you will have in 10 years if you invest $3,000 at 5% compounded quarterly?

What is $4,930.86?

200

The 5th step of the PSC

What is Assess?

200

3/2 / 1/4

What is 6?

200

The dollar amount of the mark-up if a store marks-up its prices by 12% on a $78 pair of shoes

What is $9.36?

200

The interest of $2,700 at 3% interest for 5 years

What is $405?

200

The amount of money you will have in 4 years if you invest $8,000 at 5% compounded semiannually?

What is $9,747.22?

300

Steps 4-7 of the PSC

What is Apply, Assess, Refine/Extend, Report?

300

5/7 / 3/4

What is 20/21?

300

The sale price of a $450 TV on sale with a 40% discount

What is $270?

300

The interest of $4,950 at 1.25% interest for 30 years

What is $1,856.25?

300

A species of rare birds is slowly becoming extinct, declining at a rate of 4% each year. If there are 12,500 birds of this type now, how many birds will be left in 15 years?

What is 6,776?

400

All 7 steps of the PSC

What is Identify, Analyze, Strategize, Apply, Assess, Refine/Extend, Report?

400

3/5 + 3/4

What is 27/20?

400

Total cost of a $49 pair of pants with a 9% sales tax rate

What is $53.41?

400

The final balance of $1,200 invested at 3.5% for 5 years

What is $1,410?

400

The amount of money you will have in 9 months if you invest $4,000 at 1.75% compounded monthly?

What is $4,052.81?

500

All 7 steps of the PSC backwards

What is Report, Refine/Extend, Assess, Apply, Strategize, Analyze, Identify?

500

6/7 - 4/5

What is 2/35?

500

The total cost per person if you and four friends went to dinner and spent $54 on food, paid 8.5% tax and left a 20% tip (before tax)

What is $13.88?

500

The final balance of $10,265 invested at 2.45% for 25 years

What is $16,552.31?

500

The population of Smithville has been declining by 8% each year for the past 50 years. If their population was 564 people in 2023, how many people lived in Smithville in 2015?

What is 1,098?