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One Rep Max worksheet

Grades 6–7 · CCSS 6.EE.A.2.c, 6.RP.A.3.c

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

  1. Problem 1.
    • Weight lifted: 180 lb
    • Reps completed: 5
    • Formula: Lander: 1RM = 100 × w ÷ (101.3 − 2.67123 × r)

    Find: Estimated one-rep max (Lander)

  2. Problem 2.
    • Weight lifted: 160 lb
    • Reps completed: 4
    • Formula: Wathan: 1RM = 100 × w ÷ (48.8 + 53.8 × e^(−0.075 × r))

    Find: Estimated one-rep max (Wathan)

  3. Problem 3.
    • Weight lifted: 170 lb
    • Reps completed: 6
    • Formula: Lombardi: 1RM = w × r^0.10

    Find: Estimated one-rep max (Lombardi)

  4. Problem 4.
    • Weight lifted: 220 lb
    • Reps completed: 6
    • Formula: Brzycki: 1RM = w × 36 ÷ (37 − r)

    Find: Estimated one-rep max (Brzycki)

  5. Problem 5.
    • Weight lifted: 170 lb
    • Reps completed: 4
    • Formula: Brzycki: 1RM = w × 36 ÷ (37 − r)

    Find: Estimated one-rep max (Brzycki)

  6. Problem 6.
    • Weight lifted: 150 lb
    • Reps completed: 6
    • Formula: Epley: 1RM = w × (1 + r ÷ 30)

    Find: Estimated one-rep max (Epley)

  7. Problem 7.
    • Weight lifted: 275 lb
    • Reps completed: 7
    • Formula: Lombardi: 1RM = w × r^0.10

    Find: Estimated one-rep max (Lombardi)

  8. Problem 8.
    • Weight lifted: 220 lb
    • Reps completed: 6
    • Formula: Epley: 1RM = w × (1 + r ÷ 30)

    Find: Estimated one-rep max (Epley)

  9. Problem 9.
    • Weight lifted: 170 lb
    • Reps completed: 4
    • Formula: Wathan: 1RM = 100 × w ÷ (48.8 + 53.8 × e^(−0.075 × r))

    Find: Estimated one-rep max (Wathan)

  10. Problem 10.
    • Weight lifted: 180 lb
    • Reps completed: 4
    • Formula: O'Conner: 1RM = w × (1 + 0.025 × r)

    Find: Estimated one-rep max (O'Conner)

Answer key: One Rep Max worksheet

  1. 1. Estimated one-rep max (Lander): 204.7 lb

    1. Use the Lander formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = 100 × w ÷ (101.3 − 2.67123 × r)
    2. Put in your numbers: w = 180 lb and r = 5

      100×180(101.3−2.67123×5)=204.68 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      210+202.5+211.43+202.5+204.68+214.22+209.857=207.88 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      204.68×0.8=163.74 lb
  2. 2. Estimated one-rep max (Wathan): 180.5 lb

    1. Use the Wathan formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = 100 × w ÷ (48.8 + 53.8 × e^(−0.075 × r))
    2. Put in your numbers: w = 160 lb and r = 4

      100×160(48.8+53.8×0.740818)=180.47 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      181.33+174.55+183.79+176+176.57+186.42+180.477=179.88 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      180.47×0.8=144.38 lb
  3. 3. Estimated one-rep max (Lombardi): 203.4 lb

    1. Use the Lombardi formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = w × r^0.10
    2. Put in your numbers: w = 170 lb and r = 6

      170×60.1=203.36 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      204+197.42+203.36+195.5+199.36+206.5+204.567=201.53 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      203.36×0.8=162.69 lb
  4. 4. Estimated one-rep max (Brzycki): 255.5 lb

    1. Use the Brzycki formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = w × 36 ÷ (37 − r)
    2. Put in your numbers: w = 220 lb and r = 6

      220×36(37−6)=255.48 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      264+255.48+263.17+253+258+267.24+264.737=260.8 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      255.48×0.8=204.39 lb
  5. 5. Estimated one-rep max (Brzycki): 185.5 lb

    1. Use the Brzycki formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = w × 36 ÷ (37 − r)
    2. Put in your numbers: w = 170 lb and r = 4

      170×36(37−4)=185.45 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      192.67+185.45+195.28+187+187.61+198.08+191.757=191.12 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      185.45×0.8=148.36 lb
  6. 6. Estimated one-rep max (Epley): 180 lb

    1. Use the Epley formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = w × (1 + r ÷ 30)
    2. Put in your numbers: w = 150 lb and r = 6

      150×(1+630)=180 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      180+174.19+179.43+172.5+175.91+182.21+180.57=177.82 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      180×0.8=144 lb
  7. 7. Estimated one-rep max (Lombardi): 334.1 lb

    1. Use the Lombardi formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = w × r^0.10
    2. Put in your numbers: w = 275 lb and r = 7

      275×70.1=334.07 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      339.17+330+334.07+323.13+332.92+340.72+341.087=334.44 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      334.07×0.8=267.26 lb
  8. 8. Estimated one-rep max (Epley): 264 lb

    1. Use the Epley formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = w × (1 + r ÷ 30)
    2. Put in your numbers: w = 220 lb and r = 6

      220×(1+630)=264 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      264+255.48+263.17+253+258+267.24+264.737=260.8 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      264×0.8=211.2 lb
  9. 9. Estimated one-rep max (Wathan): 191.8 lb

    1. Use the Wathan formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = 100 × w ÷ (48.8 + 53.8 × e^(−0.075 × r))
    2. Put in your numbers: w = 170 lb and r = 4

      100×170(48.8+53.8×0.740818)=191.75 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      192.67+185.45+195.28+187+187.61+198.08+191.757=191.12 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      191.75×0.8=153.4 lb
  10. 10. Estimated one-rep max (O'Conner): 198 lb

    1. Use the O'Conner formula, which predicts your max from a lighter set. Here w is the weight and r is the reps

      1RM = w × (1 + 0.025 × r)
    2. Put in your numbers: w = 180 lb and r = 4

      180×(1+0.025×4)=198 lb
    3. Average all seven formulas, so you can see where the estimates cluster

      204+196.36+206.77+198+198.64+209.73+203.037=202.36 lb
    4. Plan your training weights as a percent of your max. For example, 80% of it is

      198×0.8=158.4 lb