5. Fractional Worded Problems

Remember to read the instructions for each activity as you work through them. Also don’t forget to ask for help as you need it!

Before attempting this section, you should feel confident in:

After completing this unit, you should be able to confidently:

  • create a number sentence from a worded problem
  • solve real life maths problems using fractions, decimals and percentages
Introduction / Tuning In
Why do we need to use decimals? (V) (E)
Watch this video to see why we need to learn decimals.

Why do we need to use percentages? (V) (E)
Watch this video to see why we need to learn percentages.

Think about it (W)

Have a go at solving these problems before starting. You should be able to solve these to get you off to a good start. Ask for help if you need it!

  1. 500 people came to see our school production. The tickets were $10 for adults and $5 for kids. 60% of the audience were adults. How much money was made from ticket sales?
  2. 400 people bought choc tops at the production. 1/5 of those choc tops were choc-mint. 3/10 were boysenberry. 25% were vanilla. The rest were banana. How many of each flavour were sold? What fraction or percentage were banana. What was the ratio of choc-mint choc tops to all choc tops sold?

Fractions, Decimals and Percentages (E)
Use this tool to compare fractions, decimals and percentages side by side.

Activities Working through worded problems – Teaching Unit (U) (W)This excellent site will walk you through problems for solving worded number problems. Attempt this before you attempt the other tasks. Requires Ultranet login.

Percentage Worded Problems – Teaching Unit (U) (W)
In this Ultranet task you can work through worded problems containing percentages.

Problems with Fractions (W)
Open this copy of the Kmart Toy Catalogue. Choose 8 items you would like to buy, each costing a different amount.

  1. What is the total cost of all the items?
  2. How much would they cost you had a discount card that gave you an extra 25% off the marked price?
  3. What is the new total cost of all the items?
  4. What if you had 30% off? Work out the new price for each item.

Your parents have said you can buy a new bike. Pick one from the catalogue. The have said they will pay 3/4 of the cost, and you must pay the remainder. How much will they pay, and how much will you need to pay?

Check out the DVDs on page 30.

  1. What percentage of the titles are G rated?
  2. What percentage are PG?
  3. Write a ratio showing the number of G to PG titles.
  4. How much will it cost to buy all the G rated movies?
  5. If I offered to pay 2/5 of this amount, how much would you still need to spend to buy them all?

CHALLENGE: Create two of your own questions based on the catalogue for me to solve! They must include a fraction or a percentage.

More Toy Sale Problems (W)
Check out this page from a recent catalogue (click to enlarge). Due to a printing error, none of the discounted prices were printed. The originals were though. Use the percentage on the page to work out what the discounted price of each item should be.

toysale

Conclusion Tony’s Pizza Shop (G) (W)
This game is a challenge! Have a go at working in Tony’s Pizza Shop and see if you can solve the problems. Remember to be persistent.

Mathletics (M) (G)
Complete the following Mathletics Tasks. Remember to use the big ? button on the side if you need help!

  • Percentages and Ratios > Calculating Percentages
  • Percentages and Ratios > Percentage Composition
  • Fractions – Divide and Multiply > Fractions Word Problems
  • Fractions – Divide and Multiply > More Fractions Problems

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