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Depreciation worksheet

Grades 9–10 · CCSS HSF.BF.A.2

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Method: Sum-of-years' digits
    • Asset cost: $50,000
    • Salvage value: $5,250
    • Useful life: 6 years
    • Show results for year: 1

    Find: Depreciation in year 1

  2. Problem 2.
    • Method: Straight line
    • Asset cost: $50,000
    • Salvage value: $4,500
    • Useful life: 4 years
    • Show results for year: 1

    Find: Depreciation in year 1

  3. Problem 3.
    • Method: Units of production
    • Asset cost: $60,000
    • Salvage value: $4,200
    • Total units over the asset's life: 100,000
    • Units used each year: 27500, 30000, 27500, 17250, 12000
    • Show results for year: 1

    Find: Depreciation in year 1

  4. Problem 4.
    • Method: Units of production
    • Asset cost: $45,000
    • Salvage value: $4,000
    • Total units over the asset's life: 90,000
    • Units used each year: 25000, 30000, 20000, 15000, 10000
    • Show results for year: 1

    Find: Depreciation in year 1

  5. Problem 5.
    • Method: Declining balance
    • Asset cost: $47,500
    • Salvage value: $3,000
    • Useful life: 5 years
    • Declining-balance rate: 200%
    • Switch to straight line when it gives a larger charge: Yes
    • Show results for year: 3

    Find: Depreciation in year 3

  6. Problem 6.
    • Method: Straight line
    • Asset cost: $45,000
    • Salvage value: $4,500
    • Useful life: 6 years
    • Show results for year: 1

    Find: Depreciation in year 1

  7. Problem 7.
    • Method: Units of production
    • Asset cost: $60,000
    • Salvage value: $4,750
    • Total units over the asset's life: 100,000
    • Units used each year: 16000, 22500, 22000, 14000, 10500
    • Show results for year: 1

    Find: Depreciation in year 1

  8. Problem 8.
    • Method: Declining balance
    • Asset cost: $57,500
    • Salvage value: $5,000
    • Useful life: 5 years
    • Declining-balance rate: 220%
    • Switch to straight line when it gives a larger charge: Yes
    • Show results for year: 1

    Find: Depreciation in year 1

  9. Problem 9.
    • Method: Straight line
    • Asset cost: $41,000
    • Salvage value: $5,250
    • Useful life: 6 years
    • Show results for year: 1

    Find: Depreciation in year 1

  10. Problem 10.
    • Method: Sum-of-years' digits
    • Asset cost: $45,000
    • Salvage value: $6,300
    • Useful life: 4 years
    • Show results for year: 1

    Find: Depreciation in year 1

Answer key: Depreciation worksheet

  1. 1. Depreciation in year 1: $12,785.71

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $50,000.00−$5,250.00=$44,750.00
    2. Add up the year numbers 1 + 2 + … + 6. A shortcut gives the total: n(n + 1) ÷ 2, where n is the life in years

      6×72=21
    3. In year 1, 6 years of life remain at the start, so take 6/21 of the base

      $44,750.00×621=$12,785.71
    4. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $50,000.00−$12,785.71=$37,214.29
    5. Running total of depreciation through year 1: cost minus book value

      $50,000.00−$37,214.29=$12,785.71
  2. 2. Depreciation in year 1: $11,375.00

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $50,000.00−$4,500.00=$45,500.00
    2. Straight line charges the same every year, so split the base evenly over 4 years

      $45,500.004=$11,375.00
    3. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $50,000.00−$11,375.00=$38,625.00
    4. Running total of depreciation through year 1: cost minus book value

      $50,000.00−$38,625.00=$11,375.00
  3. 3. Depreciation in year 1: $15,345.00

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $60,000.00−$4,200.00=$55,800.00
    2. Divide the base by the total units you expect, to get a cost for each unit of use

      $55,800.00100,000=0.558
    3. Multiply by the 27,500 units used in year 1

      0.558×27,500=$15,345.00
    4. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $60,000.00−$15,345.00=$44,655.00
    5. Running total of depreciation through year 1: cost minus book value

      $60,000.00−$44,655.00=$15,345.00
  4. 4. Depreciation in year 1: $11,388.89

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $45,000.00−$4,000.00=$41,000.00
    2. Divide the base by the total units you expect, to get a cost for each unit of use

      $41,000.0090,000=0.455556
    3. Multiply by the 25,000 units used in year 1

      0.455556×25,000=$11,388.89
    4. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $45,000.00−$11,388.89=$33,611.11
    5. Running total of depreciation through year 1: cost minus book value

      $45,000.00−$33,611.11=$11,388.89
  5. 5. Depreciation in year 3: $6,840.00

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $47,500.00−$3,000.00=$44,500.00
    2. Find the yearly rate: 200% ÷ 5 years

      200%5=40%
    3. Take that percentage of the book value at the start of year 3

      $17,100.00×40%=$6,840.00
    4. Book value at the end of year 3: the value at the start of the year minus this year's depreciation

      $17,100.00−$6,840.00=$10,260.00
    5. Running total of depreciation through year 3: cost minus book value

      $47,500.00−$10,260.00=$37,240.00
  6. 6. Depreciation in year 1: $6,750.00

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $45,000.00−$4,500.00=$40,500.00
    2. Straight line charges the same every year, so split the base evenly over 6 years

      $40,500.006=$6,750.00
    3. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $45,000.00−$6,750.00=$38,250.00
    4. Running total of depreciation through year 1: cost minus book value

      $45,000.00−$38,250.00=$6,750.00
  7. 7. Depreciation in year 1: $8,840.00

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $60,000.00−$4,750.00=$55,250.00
    2. Divide the base by the total units you expect, to get a cost for each unit of use

      $55,250.00100,000=0.5525
    3. Multiply by the 16,000 units used in year 1

      0.5525×16,000=$8,840.00
    4. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $60,000.00−$8,840.00=$51,160.00
    5. Running total of depreciation through year 1: cost minus book value

      $60,000.00−$51,160.00=$8,840.00
  8. 8. Depreciation in year 1: $25,300.00

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $57,500.00−$5,000.00=$52,500.00
    2. Find the yearly rate: 220% ÷ 5 years

      220%5=44%
    3. Take that percentage of the book value at the start of year 1

      $57,500.00×44%=$25,300.00
    4. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $57,500.00−$25,300.00=$32,200.00
    5. Running total of depreciation through year 1: cost minus book value

      $57,500.00−$32,200.00=$25,300.00
  9. 9. Depreciation in year 1: $5,958.33

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $41,000.00−$5,250.00=$35,750.00
    2. Straight line charges the same every year, so split the base evenly over 6 years

      $35,750.006=$5,958.33
    3. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $41,000.00−$5,958.33=$35,041.67
    4. Running total of depreciation through year 1: cost minus book value

      $41,000.00−$35,041.67=$5,958.33
  10. 10. Depreciation in year 1: $15,480.00

    1. Find the amount to spread out (the depreciable base): cost minus what it'll be worth at the end

      $45,000.00−$6,300.00=$38,700.00
    2. Add up the year numbers 1 + 2 + … + 4. A shortcut gives the total: n(n + 1) ÷ 2, where n is the life in years

      4×52=10
    3. In year 1, 4 years of life remain at the start, so take 4/10 of the base

      $38,700.00×410=$15,480.00
    4. Book value at the end of year 1: the value at the start of the year minus this year's depreciation

      $45,000.00−$15,480.00=$29,520.00
    5. Running total of depreciation through year 1: cost minus book value

      $45,000.00−$29,520.00=$15,480.00