Math · Stage 6

Percentage and rate problem sums with the bar model

Draw the whole as one bar of 100%, split it to match the percent, and use the same bar to find a part, find the whole, work out a discount or increase, and solve simple rate problems.

✦ Math📘 Stage 6 · S6⏱ ~14 min🧒 Ages 10–12★ Free to start

I can solve percentage and rate problem sums on a bar.

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Kavi Shares the Harvest 🧺

The Great Oak gathered a basket of acorns, and Kavi wants to give away exactly 25% of them. "A percent is just parts out of a hundred," she hoots. "If I draw the whole basket as one long bar — that bar is 100% — I can split it to match any percent, find a part, find the whole, work out a discount, or share a rate fairly. One bar solves them all ⚡."

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What your child will learn

1Split the whole bar into equal partsDraw the whole as one bar and cut it into 10 equal parts. Each part is one tenth of the bar, which is 10%. Tap the parts to shade them: 3 parts shaded is 3 tenths = 30%. Half the bar is 50%, and one quarter of the bar is 25%.

2The percentage bar runs 0% to 100%Lay the bar flat as a line. The left end is 0% (none of it) and the right end is 100% (all of it, the whole). Tap Hop +10 to travel 10% at a time: 10%, 20%, 30% … right up to 100%.

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A peek inside

Find 25% of 80 using the bar.

the whole bar is 80 (that is 100%); 25% is one quarter, so split the bar into 4 equal parts: 80 ÷ 4

Try this at home: Find 50% of 60 on the bar: __

Ready to play and learn?

Start the free interactive lesson, or print the handout for screen-free play.

Start the free lesson →⬇ Download PDF

Part of Math · Stage 6 · S6 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.