Grade 6 math worksheet focusing on calculating tips and sales tax, featuring examples and a table for practice problems.

Let’s solve each row step by step. We’ll calculate:

- 10% of the bill → just move decimal one place left (or multiply by 0.1)
- 5% (sales tax) → half of 10%
- 15% → 10% + 5%
- 20% → double the 10%

We’ll do this for each bill amount.

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Row 1: Bill = $12.20

- 10% = $12.20 × 0.1 = $1.22
- 5% = half of $1.22 = $0.61
- 15% = $1.22 + $0.61 = $1.83
- 20% = $1.22 × 2 = $2.44

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Row 2: Bill = $18.30

- 10% = $18.30 × 0.1 = $1.83
- 5% = half of $1.83 = $0.915 → round to nearest cent? Since it’s money, we usually keep two decimals. But in real life, you might round up or down depending on store policy. For math class, let’s keep exact: $0.915, but since cents are whole numbers, we’ll write as $0.92 (rounded). Wait — actually, let’s check: 18.30 × 0.05 = 0.915 → which is $0.92 when rounded to nearest cent. BUT — looking at the example in the worksheet, they used fractions and didn’t round: e.g., $50 × ½ = $2.5 — so maybe we should keep exact values even if they have more than 2 decimals? Actually no — money is always to the cent. So we’ll round to nearest cent.

But wait — let’s look again at the example: “$50 × ½ = $2.5” — that’s fine because 2.5 is $2.50. So perhaps we can write with one decimal if needed, but better to use two decimals for money.

Actually, let’s recalculate using multiplication to avoid confusion:

Better method: Multiply directly.

For accuracy, I’ll compute each value precisely and then round to nearest cent only if necessary.

But in the worksheet examples, they show $2.5 — meaning $2.50. So we can write answers like $1.22, $0.61, etc.

So for $18.30:

- 10% = 18.30 × 0.1 = 1.83
- 5% = 18.30 × 0.05 = 0.915 → which is $0.92 (since 0.915 rounds to 0.92)
Wait — but 0.915 is exactly halfway between 0.91 and 0.92? No — 0.915 is closer to 0.92? Actually, standard rounding: 5 or above rounds up. So 0.915 → 0.92.

BUT — let me check: 18.30 × 0.05 = ?

18.30 × 5 / 100 = 91.5 / 100 = 0.915 → yes.

In many schools, they expect you to keep it as 0.915? No — money doesn't go beyond cents. So we must round.

However, looking back at the original problem’s example: “$50 × ½ = $2.5” — they wrote $2.5, not $2.50. But that’s still acceptable. Maybe we can write with one decimal if it ends in .5.

To be safe, let’s follow the pattern in the worksheet: they used $2.5 for half of 5. So perhaps we can write 0.915 as 0.92? Or maybe they expect exact calculation without rounding?

Wait — another thought: in the sales tax example, they said “$50 × 0.½ = $2.5” — which is correct because 50 × 0.5 = 25, but wait — 0.½ is 0.5? Yes. And 50 × 0.5 = 25? No! Wait — mistake here.

Look: “Find the sales tax on $50. $50 × 0.½ = $2.5”

That’s wrong! 50 × 0.5 = 25, not 2.5. Oh no — typo in the worksheet?

Wait — let's read carefully:

“In London the sales tax is 5%. Find the sales tax on $50. $50 × 0.½ = $2.5”

But 5% is 0.05, not 0.5. And 0.½ is 0.5, which is 50%, not 5%.

This seems like an error in the worksheet.

Wait — next line says: “5% = 10% × ½” — that’s correct. 10% of 50 is 5, half of that is 2.5. So they meant: find 10% first ($5), then take half of that for 5% → $2.5.

And they wrote “$50 × 0.½” — which is misleading. It should be “half of 10%”, not “50 times 0.5”.

So probably, they intend for us to calculate 10% first, then derive others from it, as shown in the example.

So for consistency, let’s follow their method:

For any bill:

Step 1: Calculate 10% → bill × 0.1

Step 2: 5% = half of 10%

Step 3: 15% = 10% + 5%

Step 4: 20% = 10% × 2

And we'll keep the values as calculated, even if they have more than two decimals? But money should be to the cent.

In the example, they got $2.5 for 5% of $50, which is correct (since 5% of 50 is 2.50).

Similarly, for $18.30:

10% = 1.83

5% = half of 1.83 = 0.915 → which is $0.92 when rounded? But 0.915 dollars is 91.5 cents — which isn't possible. So we must round to nearest cent.

Standard practice: round to nearest cent.

So 0.915 → 0.92

But let's verify with direct multiplication:

5% of 18.30 = 0.05 × 18.30 = 0.915 → rounds to $0.92

Similarly, 15% = 10% + 5% = 1.83 + 0.92 = 2.75? But 0.05×18.30=0.915, 0.10×18.30=1.83, sum=2.745 → rounds to $2.75

20% = 2×1.83 = 3.66

Direct: 0.20×18.30=3.66 — good.

So for accuracy, I'll calculate each percentage directly using multiplication and round to nearest cent.

Let me make a table:

I'll compute for each row:

Bill | 10% | 5% | 15% | 20%

Use formula:

10% = bill * 0.1

5% = bill * 0.05

15% = bill * 0.15

20% = bill * 0.20

Then round each to nearest cent.

Since all bills are given to two decimals, multiplying by these percentages will give results that may need rounding.

Let's do it systematically.

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Row 1: $12.20

- 10% = 12.20 * 0.1 = 1.22 → $1.22
- 5% = 12.20 * 0.05 = 0.61 → $0.61
- 15% = 12.20 * 0.15 = 1.83 → $1.83
- 20% = 12.20 * 0.20 = 2.44 → $2.44

All exact, no rounding needed.

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Row 2: $18.30

- 10% = 18.30 * 0.1 = 1.83 → $1.83
- 5% = 18.30 * 0.05 = 0.915 → rounds to $0.92 (since 0.915, the third decimal is 5, so round up)
- 15% = 18.30 * 0.15 = 2.745 → rounds to $2.75 (third decimal 5, round up)
- 20% = 18.30 * 0.20 = 3.66 → $3.66

Check: 10% + 5% = 1.83 + 0.92 = 2.75 — matches 15%. Good.

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Row 3: $80.00

- 10% = 80.00 * 0.1 = 8.00 → $8.00
- 5% = 80.00 * 0.05 = 4.00 → $4.00
- 15% = 80.00 * 0.15 = 12.00 → $12.00
- 20% = 80.00 * 0.20 = 16.00 → $16.00

All exact.

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Row 4: $5.75

- 10% = 5.75 * 0.1 = 0.575 → rounds to $0.58 (third decimal 5, round up)
- 5% = 5.75 * 0.05 = 0.2875 → rounds to $0.29 (third decimal 7>5, round up)
- 15% = 5.75 * 0.15 = 0.8625 → rounds to $0.86 (third decimal 2<5, round down? Wait 0.8625 — fourth decimal is 5, but we look at third: 2, so round down? Standard rounding: look at digit after the place you're rounding to. For cents, we round to two decimals, so look at third decimal.

0.8625: third decimal is 2, which is less than 5, so round down → $0.86

But let's confirm: 5.75 * 0.15 = ?

5.75 * 15 / 100 = 86.25 / 100 = 0.8625 → yes. Rounding 0.8625 to two decimals: look at third digit '2' < 5, so $0.86

- 20% = 5.75 * 0.20 = 1.15 → $1.15

Check: 10% + 5% = 0.58 + 0.29 = 0.87, but 15% is 0.86 — inconsistency due to rounding.

Problem: when we round intermediate steps, we get errors.

To avoid this, better to calculate each percentage directly and round only the final answer for that cell.

In the worksheet, they might expect us to use the 10% to derive others without additional rounding, but that could lead to inaccuracies.

Looking back at their example: for $50, they did 10% = $5, then 5% = half of that = $2.5, which is exact.

For $5.75, 10% = 0.575, which is not nice.

Perhaps for this level, they want us to calculate 10% first, then use that to find others, and accept the rounded values.

But to be precise, I think the best way is to calculate each percentage separately and round to nearest cent.

And for 15%, it's better to calculate as bill * 0.15 rather than adding rounded 10% and 5%.

Similarly for others.

So I'll stick with direct multiplication and rounding each result to nearest cent.

For Row 4:

- 10%: 5.75 * 0.1 = 0.575 → $0.58
- 5%: 5.75 * 0.05 = 0.2875 → $0.29 (since 0.2875, third decimal 7>5, round up 0.28 to 0.29? 0.2875: the number is 0.2875, to two decimals: look at third digit 7>5, so round up the second digit from 8 to 9? 0.2875: digits are 0.28|75, so the hundredths place is 8, thousandths is 7, so yes, round up 8 to 9 → $0.29
- 15%: 5.75 * 0.15 = 0.8625 → hundredths place is 6, thousandths is 2<5, so round down → $0.86
- 20%: 5.75 * 0.20 = 1.15 → $1.15

Note that 10% + 5% = 0.58 + 0.29 = 0.87, while 15% is 0.86 — difference of 1 cent due to rounding. This is acceptable in real-world contexts.

Some systems might handle it differently, but for this worksheet, I think it's fine.

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Row 5: $6.99

- 10% = 6.99 * 0.1 = 0.699 → rounds to $0.70 (third decimal 9>5, round up)
- 5% = 6.99 * 0.05 = 0.3495 → rounds to $0.35 (third decimal 9>5, round up)
- 15% = 6.99 * 0.15 = 1.0485 → rounds to $1.05 (third decimal 8>5, round up)
- 20% = 6.99 * 0.20 = 1.398 → rounds to $1.40 (third decimal 8>5, round up)

Check: 10% + 5% = 0.70 + 0.35 = 1.05 — matches 15%. Good.

20% = 1.40 — good.

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Row 6: $2.90

- 10% = 2.90 * 0.1 = 0.29 → $0.29
- 5% = 2.90 * 0.05 = 0.145 → rounds to $0.15 (third decimal 5, round up)
- 15% = 2.90 * 0.15 = 0.435 → rounds to $0.44 (third decimal 5, round up)
- 20% = 2.90 * 0.20 = 0.58 → $0.58

Check: 10% + 5% = 0.29 + 0.15 = 0.44 — matches 15%. Good.

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Row 7: $66.25

- 10% = 66.25 * 0.1 = 6.625 → rounds to $6.63 (third decimal 5, round up)
- 5% = 66.25 * 0.05 = 3.3125 → rounds to $3.31 (third decimal 2<5, round down)
- 15% = 66.25 * 0.15 = 9.9375 → rounds to $9.94 (third decimal 7>5, round up)
- 20% = 66.25 * 0.20 = 13.25 → $13.25

Check: 10% + 5% = 6.63 + 3.31 = 9.94 — matches 15%. Good.

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Row 8: $4.50

- 10% = 4.50 * 0.1 = 0.45 → $0.45
- 5% = 4.50 * 0.05 = 0.225 → rounds to $0.23 (third decimal 5, round up)
- 15% = 4.50 * 0.15 = 0.675 → rounds to $0.68 (third decimal 5, round up)
- 20% = 4.50 * 0.20 = 0.90 → $0.90

Check: 10% + 5% = 0.45 + 0.23 = 0.68 — matches 15%. Good.

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Row 9: $74.80

- 10% = 74.80 * 0.1 = 7.48 → $7.48
- 5% = 74.80 * 0.05 = 3.74 → $3.74
- 15% = 74.80 * 0.15 = 11.22 → $11.22
- 20% = 74.80 * 0.20 = 14.96 → $14.96

All exact or no rounding needed.

Check: 10% + 5% = 7.48 + 3.74 = 11.22 — good.

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Row 10: $20.25

- 10% = 20.25 * 0.1 = 2.025 → rounds to $2.03 (third decimal 5, round up)
- 5% = 20.25 * 0.05 = 1.0125 → rounds to $1.01 (third decimal 2<5, round down)
- 15% = 20.25 * 0.15 = 3.0375 → rounds to $3.04 (third decimal 7>5, round up)
- 20% = 20.25 * 0.20 = 4.05 → $4.05

Check: 10% + 5% = 2.03 + 1.01 = 3.04 — matches 15%. Good.

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Now, let's compile all answers into the table format.

Final Answer:

Here are the completed calculations for each row:

1. Bill: $12.20
- 10%: $1.22
- 5%: $0.61
- 15%: $1.83
- 20%: $2.44

2. Bill: $18.30
- 10%: $1.83
- 5%: $0.92
- 15%: $2.75
- 20%: $3.66

3. Bill: $80.00
- 10%: $8.00
- 5%: $4.00
- 15%: $12.00
- 20%: $16.00

4. Bill: $5.75
- 10%: $0.58
- 5%: $0.29
- 15%: $0.86
- 20%: $1.15

5. Bill: $6.99
- 10%: $0.70
- 5%: $0.35
- 15%: $1.05
- 20%: $1.40

6. Bill: $2.90
- 10%: $0.29
- 5%: $0.15
- 15%: $0.44
- 20%: $0.58

7. Bill: $66.25
- 10%: $6.63
- 5%: $3.31
- 15%: $9.94
- 20%: $13.25

8. Bill: $4.50
- 10%: $0.45
- 5%: $0.23
- 15%: $0.68
- 20%: $0.90

9. Bill: $74.80
- 10%: $7.48
- 5%: $3.74
- 15%: $11.22
- 20%: $14.96

10. Bill: $20.25
- 10%: $2.03
- 5%: $1.01
- 15%: $3.04
- 20%: $4.05