Let’s solve each problem step by step. We’ll do Part A first, then Part B.
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Part A: Find the Rate
We are finding “rate” — that means how much per one unit (like per hour, per case, per shelf, etc.). So we divide the total amount by the number of units.
1.
Net pay of $80 for 8 hours
→ Divide money by hours: 80 ÷ 8 =
$10 per hour
2.
70 bottles of water in 2 cases
→ Bottles per case: 70 ÷ 2 =
35 bottles per case
3.
250 books on 5 shelves
→ Books per shelf: 250 ÷ 5 =
50 books per shelf
4.
6 doughnuts for $2.10
→ Price per doughnut: 2.10 ÷ 6 =
$0.35 per doughnut
5.
1000 km in 8 hours
→ Speed: 1000 ÷ 8 =
125 km/h
6.
$567.50 for 10 ski tickets
→ Cost per ticket: 567.50 ÷ 10 =
$56.75 per ticket
7.
Hourly pay (before deductions) of $100 for 8 hours
→ Pay per hour: 100 ÷ 8 =
$12.50 per hour
8.
6 minutes to run 5 laps
→ Time per lap: 6 ÷ 5 =
1.2 minutes per lap
*(or you can write as 1 minute and 12 seconds, but decimal is fine unless specified)*
9.
Plant 1500 trees in 6 hours
→ Trees per hour: 1500 ÷ 6 =
250 trees per hour
10.
96 slices of pizza in 12 pizzas
→ Slices per pizza: 96 ÷ 12 =
8 slices per pizza
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Part B: Find D, V, or T
Remember:
- Distance (D) = Speed × Time → D = V × T
- Speed (V) = Distance ÷ Time → V = D ÷ T
- Time (T) = Distance ÷ Speed → T = D ÷ V
Always include units!
11.
Find distance if you drive 110 km/h for 10 hours
→ D = V × T = 110 × 10 =
1100 km
12.
Time to travel 800 km at 100 km/h
→ T = D ÷ V = 800 ÷ 100 =
8 hours
13.
Speed if 1000 km covered in 12 hours
→ V = D ÷ T = 1000 ÷ 12 ≈
83.33 km/h
*(You can leave as fraction: 250/3 km/h, but decimal is usually okay)*
14.
Travelling 80 km/h, how long to go 1600 km?
→ T = D ÷ V = 1600 ÷ 80 =
20 hours
15.
Speed of cyclist who covers 100 km in 3 hours
→ V = D ÷ T = 100 ÷ 3 ≈
33.33 km/h
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Final Answer:
Part A:
1. $10/hour
2. 35 bottles/case
3. 50 books/shelf
4. $0.35/doughnut
5. 125 km/h
6. $56.75/ticket
7. $12.50/hour
8. 1.2 min/lap
9. 250 trees/hour
10. 8 slices/pizza
Part B:
11. 1100 km
12. 8 h
13. 83.33 km/h (or 250/3 km/h)
14. 20 h
15. 33.33 km/h (or 100/3 km/h)
Parent Tip: Review the logic above to help your child master the concept of consumer mathematics worksheet.
