MathSprig

Unit rates

Use a total price to find the cost of one item.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Unit price

Set the hidden whole-dollar cost of one item. Total cost is unit price × item count.

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mathsprig-1
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decde894
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Unit ratesUnit rates. Practice. 2 identical items cost $28. What is the cost of one item? 9 identical items cost $9. What is the cost of one item? 10 identical items cost $80. What is the cost of one item? 4 identical items cost $72. What is the cost of one item? 4 identical items cost $32. What is the cost of one item? 3 identical items cost $36. What is the cost of one item? 5 identical items cost $100. What is the cost of one item? 9 identical items cost $99. What is the cost of one item? 11 identical items cost $187. What is the cost of one item? 9 identical items cost $126. What is the cost of one item? 10 identical items cost $150. What is the cost of one item? 7 identical items cost $133. What is the cost of one item?Name __________________________Date _______________Unit ratesFind the cost of one item.Worked example6 notebooks cost $18. What is the cost of one notebook? → $3 per item18 ÷ 6 = 3.1.2 identical items cost $28. Whatis the cost of one item?2.9 identical items cost $9. Whatis the cost of one item?3.10 identical items cost $80. Whatis the cost of one item?4.4 identical items cost $72. Whatis the cost of one item?5.4 identical items cost $32. Whatis the cost of one item?6.3 identical items cost $36. Whatis the cost of one item?7.5 identical items cost $100. Whatis the cost of one item?8.9 identical items cost $99. Whatis the cost of one item?9.11 identical items cost $187.What is the cost of one item?10.9 identical items cost $126. Whatis the cost of one item?11.10 identical items cost $150.What is the cost of one item?12.7 identical items cost $133. Whatis the cost of one item?MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · decde894
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Practice + answer key · 2 pages

Ratios & percentages

What you’ll practice

Calculate a unit price and attach the correct unit.

Divide the total cost by the number of items. Your answer is a price per item; multiply it by the item count to check the total.

How this skill works

A total cost covers all of the items. Divide it by the item count to find the cost for one.

Multiply the unit price by the count to check that it returns the stated total.

Worked example

6 notebooks cost $18. What is the cost of one notebook?
  1. 18 ÷ 6 = 3.
  2. Each notebook costs $3.
  3. Check: 6 × $3 = $18.

Answer: $3 per item

Teaching notes

  • Include “per item”; the number alone does not describe the rate.
Practice questions
  1. 2 identical items cost $28. What is the cost of one item?
  2. 9 identical items cost $9. What is the cost of one item?
  3. 10 identical items cost $80. What is the cost of one item?
  4. 4 identical items cost $72. What is the cost of one item?
  5. 4 identical items cost $32. What is the cost of one item?
  6. 3 identical items cost $36. What is the cost of one item?
  7. 5 identical items cost $100. What is the cost of one item?
  8. 9 identical items cost $99. What is the cost of one item?
  9. 11 identical items cost $187. What is the cost of one item?
  10. 9 identical items cost $126. What is the cost of one item?
  11. 10 identical items cost $150. What is the cost of one item?
  12. 7 identical items cost $133. What is the cost of one item?
Answers and steps
  1. $14 per item
    1. $28 ÷ 2 = $14 per item.
    2. Check: 2 × $14 = $28.
  2. $1 per item
    1. $9 ÷ 9 = $1 per item.
    2. Check: 9 × $1 = $9.
  3. $8 per item
    1. $80 ÷ 10 = $8 per item.
    2. Check: 10 × $8 = $80.
  4. $18 per item
    1. $72 ÷ 4 = $18 per item.
    2. Check: 4 × $18 = $72.
  5. $8 per item
    1. $32 ÷ 4 = $8 per item.
    2. Check: 4 × $8 = $32.
  6. $12 per item
    1. $36 ÷ 3 = $12 per item.
    2. Check: 3 × $12 = $36.
  7. $20 per item
    1. $100 ÷ 5 = $20 per item.
    2. Check: 5 × $20 = $100.
  8. $11 per item
    1. $99 ÷ 9 = $11 per item.
    2. Check: 9 × $11 = $99.
  9. $17 per item
    1. $187 ÷ 11 = $17 per item.
    2. Check: 11 × $17 = $187.
  10. $14 per item
    1. $126 ÷ 9 = $14 per item.
    2. Check: 9 × $14 = $126.
  11. $15 per item
    1. $150 ÷ 10 = $15 per item.
    2. Check: 10 × $15 = $150.
  12. $19 per item
    1. $133 ÷ 7 = $19 per item.
    2. Check: 7 × $19 = $133.