Skip to content
Calcapedia
Print as
Number of problems

In the print window, choose “Save as PDF” as the printer (or print it on paper). Seed 1 rebuilds this exact sheet.

Showing 10 problems, seed 1.

Social Security worksheet

Grades 7–8 · CCSS 7.RP.A.3, 8.EE.C.7.b

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

  1. Problem 1.
    • Start from: My average indexed monthly earnings (AIME)
    • Average indexed monthly earnings (AIME): $5,000
    • Year you were born: 2,000
    • Age you plan to claim: 70 years
    • Compare with claiming at: 67 years

    Find: Monthly benefit claiming at 70

  2. Problem 2.
    • Start from: My benefit at full retirement age
    • Monthly benefit at full retirement age: $1,525
    • Year you were born: 2,000
    • Age you plan to claim: 70 years
    • Compare with claiming at: 70 years

    Find: Monthly benefit claiming at 70

  3. Problem 3.
    • Start from: My average indexed monthly earnings (AIME)
    • Average indexed monthly earnings (AIME): $7,400
    • Year you were born: 2,000
    • Age you plan to claim: 62 years
    • Compare with claiming at: 70 years

    Find: Monthly benefit claiming at 62

  4. Problem 4.
    • Start from: My average indexed monthly earnings (AIME)
    • Average indexed monthly earnings (AIME): $3,750
    • Year you were born: 1,964
    • Age you plan to claim: 65 years
    • Compare with claiming at: 70 years

    Find: Monthly benefit claiming at 65

  5. Problem 5.
    • Start from: My average indexed monthly earnings (AIME)
    • Average indexed monthly earnings (AIME): $3,450
    • Year you were born: 1,950
    • Age you plan to claim: 67 years
    • Compare with claiming at: 70 years

    Find: Monthly benefit claiming at 67

  6. Problem 6.
    • Start from: My average indexed monthly earnings (AIME)
    • Average indexed monthly earnings (AIME): $4,000
    • Year you were born: 2,000
    • Age you plan to claim: 67 years
    • Compare with claiming at: 62 years

    Find: Monthly benefit claiming at 67

  7. Problem 7.
    • Start from: My benefit at full retirement age
    • Monthly benefit at full retirement age: $2,200
    • Year you were born: 2,000
    • Age you plan to claim: 62 years
    • Compare with claiming at: 62 years

    Find: Monthly benefit claiming at 62

  8. Problem 8.
    • Start from: My benefit at full retirement age
    • Monthly benefit at full retirement age: $1,800
    • Year you were born: 2,000
    • Age you plan to claim: 67 years
    • Compare with claiming at: 62 years

    Find: Monthly benefit claiming at 67

  9. Problem 9.
    • Start from: My benefit at full retirement age
    • Monthly benefit at full retirement age: $2,500
    • Year you were born: 1,964
    • Age you plan to claim: 70 years
    • Compare with claiming at: 70 years

    Find: Monthly benefit claiming at 70

  10. Problem 10.
    • Start from: My average indexed monthly earnings (AIME)
    • Average indexed monthly earnings (AIME): $5,000
    • Year you were born: 2,000
    • Age you plan to claim: 67 years
    • Compare with claiming at: 70 years

    Find: Monthly benefit claiming at 67

Answer key: Social Security worksheet

  1. 1. Monthly benefit claiming at 70: $2,908.79

    1. Work out your full benefit (PIA) from your average earnings with the 2026 formula. You get 90% of the first $1,286.00, 32% of the part from there up to $7,749.00 and 15% of anything above, rounded down to the dime

      90%×$1,286.00+32%×$3,714.00=$2,345.80
    2. Find your full retirement age, which depends on your birth year. Born in 2000, yours is 67

      full retirement age in months=804
    3. Claiming at your age (70) is 36 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      36×23=24%
    4. Find the monthly check if you claim at 70: 124% of your full benefit

      $2,345.80×124%=$2,908.79
    5. Find the monthly check if you claim at 67: 100% of your full benefit

      $2,345.80×100%=$2,345.80
    6. Find the break-even age, in months: when the total from claiming at 70 catches up with the total from claiming at 67

      $2,908.79×840−$2,345.80×804$2,908.79−$2,345.80=990
  2. 2. Monthly benefit claiming at 70: $1,891.00

    1. Find your full retirement age, which depends on your birth year. Born in 2000, yours is 67

      full retirement age in months=804
    2. Claiming at your age (70) is 36 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      36×23=24%
    3. Find the monthly check if you claim at 70: 124% of your full benefit

      $1,525.00×124%=$1,891.00
  3. 3. Monthly benefit claiming at 62: $2,179.66

    1. Work out your full benefit (PIA) from your average earnings with the 2026 formula. You get 90% of the first $1,286.00, 32% of the part from there up to $7,749.00 and 15% of anything above, rounded down to the dime

      90%×$1,286.00+32%×$6,114.00=$3,113.80
    2. Find your full retirement age, which depends on your birth year. Born in 2000, yours is 67

      full retirement age in months=804
    3. Claiming at your age (62) is 60 months early, so the benefit is cut. It loses 5/9 of 1% for each of the first 36 months and 5/12 of 1% for each of the other 24

      36×59+24×512=30%
    4. Find the monthly check if you claim at 62: 70% of your full benefit

      $3,113.80×70%=$2,179.66
    5. The comparison age (70) is 36 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      36×23=24%
    6. Find the monthly check if you claim at 70: 124% of your full benefit

      $3,113.80×124%=$3,861.11
    7. Find the break-even age, in months: when the total from claiming at 70 catches up with the total from claiming at 62

      $3,861.11×840−$2,179.66×744$3,861.11−$2,179.66=964.44
  4. 4. Monthly benefit claiming at 65: $1,686.36

    1. Work out your full benefit (PIA) from your average earnings with the 2026 formula. You get 90% of the first $1,286.00, 32% of the part from there up to $7,749.00 and 15% of anything above, rounded down to the dime

      90%×$1,286.00+32%×$2,464.00=$1,945.80
    2. Find your full retirement age, which depends on your birth year. Born in 1964, yours is 67

      full retirement age in months=804
    3. Claiming at your age (65) is 24 months early, so the benefit is cut. It loses 5/9 of 1% for each of the first 24 months

      24×59=13.3333%
    4. Find the monthly check if you claim at 65: 86.6667% of your full benefit

      $1,945.80×86.6667%=$1,686.36
    5. The comparison age (70) is 36 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      36×23=24%
    6. Find the monthly check if you claim at 70: 124% of your full benefit

      $1,945.80×124%=$2,412.79
    7. Find the break-even age, in months: when the total from claiming at 70 catches up with the total from claiming at 65

      $2,412.79×840−$1,686.36×780$2,412.79−$1,686.36=979.29
  5. 5. Monthly benefit claiming at 67: $1,997.78

    1. Work out your full benefit (PIA) from your average earnings with the 2026 formula. You get 90% of the first $1,286.00, 32% of the part from there up to $7,749.00 and 15% of anything above, rounded down to the dime

      90%×$1,286.00+32%×$2,164.00=$1,849.80
    2. Find your full retirement age, which depends on your birth year. Born in 1950, yours is 66

      full retirement age in months=792
    3. Claiming at your age (67) is 12 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      12×23=8%
    4. Find the monthly check if you claim at 67: 108% of your full benefit

      $1,849.80×108%=$1,997.78
    5. The comparison age (70) is 48 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      48×23=32%
    6. Find the monthly check if you claim at 70: 132% of your full benefit

      $1,849.80×132%=$2,441.74
    7. Find the break-even age, in months: when the total from claiming at 70 catches up with the total from claiming at 67

      $2,441.74×840−$1,997.78×804$2,441.74−$1,997.78=1,002
  6. 6. Monthly benefit claiming at 67: $2,025.80

    1. Work out your full benefit (PIA) from your average earnings with the 2026 formula. You get 90% of the first $1,286.00, 32% of the part from there up to $7,749.00 and 15% of anything above, rounded down to the dime

      90%×$1,286.00+32%×$2,714.00=$2,025.80
    2. Find your full retirement age, which depends on your birth year. Born in 2000, yours is 67

      full retirement age in months=804
    3. Find the monthly check if you claim at 67: 100% of your full benefit

      $2,025.80×100%=$2,025.80
    4. The comparison age (62) is 60 months early, so the benefit is cut. It loses 5/9 of 1% for each of the first 36 months and 5/12 of 1% for each of the other 24

      36×59+24×512=30%
    5. Find the monthly check if you claim at 62: 70% of your full benefit

      $2,025.80×70%=$1,418.06
    6. Find the break-even age, in months: when the total from claiming at 67 catches up with the total from claiming at 62

      $2,025.80×804−$1,418.06×744$2,025.80−$1,418.06=944
  7. 7. Monthly benefit claiming at 62: $1,540.00

    1. Find your full retirement age, which depends on your birth year. Born in 2000, yours is 67

      full retirement age in months=804
    2. Claiming at your age (62) is 60 months early, so the benefit is cut. It loses 5/9 of 1% for each of the first 36 months and 5/12 of 1% for each of the other 24

      36×59+24×512=30%
    3. Find the monthly check if you claim at 62: 70% of your full benefit

      $2,200.00×70%=$1,540.00
  8. 8. Monthly benefit claiming at 67: $1,800.00

    1. Find your full retirement age, which depends on your birth year. Born in 2000, yours is 67

      full retirement age in months=804
    2. Find the monthly check if you claim at 67: 100% of your full benefit

      $1,800.00×100%=$1,800.00
    3. The comparison age (62) is 60 months early, so the benefit is cut. It loses 5/9 of 1% for each of the first 36 months and 5/12 of 1% for each of the other 24

      36×59+24×512=30%
    4. Find the monthly check if you claim at 62: 70% of your full benefit

      $1,800.00×70%=$1,260.00
    5. Find the break-even age, in months: when the total from claiming at 67 catches up with the total from claiming at 62

      $1,800.00×804−$1,260.00×744$1,800.00−$1,260.00=944
  9. 9. Monthly benefit claiming at 70: $3,100.00

    1. Find your full retirement age, which depends on your birth year. Born in 1964, yours is 67

      full retirement age in months=804
    2. Claiming at your age (70) is 36 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      36×23=24%
    3. Find the monthly check if you claim at 70: 124% of your full benefit

      $2,500.00×124%=$3,100.00
  10. 10. Monthly benefit claiming at 67: $2,345.80

    1. Work out your full benefit (PIA) from your average earnings with the 2026 formula. You get 90% of the first $1,286.00, 32% of the part from there up to $7,749.00 and 15% of anything above, rounded down to the dime

      90%×$1,286.00+32%×$3,714.00=$2,345.80
    2. Find your full retirement age, which depends on your birth year. Born in 2000, yours is 67

      full retirement age in months=804
    3. Find the monthly check if you claim at 67: 100% of your full benefit

      $2,345.80×100%=$2,345.80
    4. The comparison age (70) is 36 months after full retirement age, so the benefit grows. It gains 2/3 of 1% for each month you wait

      36×23=24%
    5. Find the monthly check if you claim at 70: 124% of your full benefit

      $2,345.80×124%=$2,908.79
    6. Find the break-even age, in months: when the total from claiming at 70 catches up with the total from claiming at 67

      $2,908.79×840−$2,345.80×804$2,908.79−$2,345.80=990