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Running Splits worksheet

Grades 6–7 · CCSS 6.RP.A.3.b, 7.RP.A.3

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

1.
Problem 1.
- Race distance: 14 km
- Target time: hours: 0 h
- Target time: minutes: 42 min
- Target time: seconds: 0 s
- Split every: Mile
- Pacing: Even splits
Find: Average pace per mile
Answer
2.
Problem 2.
- Race distance: 9 km
- Target time: hours: 1 h
- Target time: minutes: 56 min
- Target time: seconds: 0 s
- Split every: Kilometer
- Pacing: Even splits
Find: Average pace per kilometer
Answer
3.
Problem 3.
- Race distance: 10 km
- Target time: hours: 0 h
- Target time: minutes: 40 min
- Target time: seconds: 0 s
- Split every: Kilometer
- Pacing: Negative split
- Second half faster by: 2%
Find: Average pace per kilometer
Answer
4.
Problem 4.
- Race distance: 11 km
- Target time: hours: 0 h
- Target time: minutes: 50 min
- Target time: seconds: 0 s
- Split every: Kilometer
- Pacing: Even splits
Find: Average pace per kilometer
Answer
5.
Problem 5.
- Race distance: 15 km
- Target time: hours: 3 h
- Target time: minutes: 55 min
- Target time: seconds: 0 s
- Split every: Mile
- Pacing: Negative split
- Second half faster by: 2%
Find: Average pace per mile
Answer
6.
Problem 6.
- Race distance: 7 km
- Target time: hours: 0 h
- Target time: minutes: 54 min
- Target time: seconds: 0 s
- Split every: Kilometer
- Pacing: Negative split
- Second half faster by: 3%
Find: Average pace per kilometer
Answer
7.
Problem 7.
- Race distance: 9 km
- Target time: hours: 0 h
- Target time: minutes: 30 min
- Target time: seconds: 0 s
- Split every: Kilometer
- Pacing: Negative split
- Second half faster by: 2%
Find: Average pace per kilometer
Answer
8.
Problem 8.
- Race distance: 12 km
- Target time: hours: 0 h
- Target time: minutes: 28 min
- Target time: seconds: 0 s
- Split every: Mile
- Pacing: Even splits
Find: Average pace per mile
Answer
9.
Problem 9.
- Race distance: 9 km
- Target time: hours: 0 h
- Target time: minutes: 44 min
- Target time: seconds: 0 s
- Split every: Kilometer
- Pacing: Negative split
- Second half faster by: 2%
Find: Average pace per kilometer
Answer
10.
Problem 10.
- Race distance: 13 km
- Target time: hours: 0 h
- Target time: minutes: 38 min
- Target time: seconds: 0 s
- Split every: Kilometer
- Pacing: Negative split
- Second half faster by: 2%
Find: Average pace per kilometer
Answer

Answer key: Running Splits worksheet

1. Average pace per mile: 4:50 /mi
1. Convert the target time to seconds
  $0 h 42 min 0 s$ $= 2,520 s$
2. Convert the distance to miles (1 mile = 1.609344 km)
  $\frac{14 km}{1.609344}$ $= 8.6992 mi$
3. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{2,520 s}{8.6992 mi}$ $= 289.68 s/mi$ $= 4:50 /mi$
2. Average pace per kilometer: 12:53 /km
1. Convert the target time to seconds
  $1 h 56 min 0 s$ $= 6,960 s$
2. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{6,960 s}{9 km}$ $= 773.33 s/km$ $= 12:53 /km$
3. Average pace per kilometer: 4:00 /km
1. Convert the target time to seconds
  $0 h 40 min 0 s$ $= 2,400 s$
2. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{2,400 s}{10 km}$ $= 240 s/km$ $= 4:00 /km$
3. First half = total ÷ (2 − 2%), so that the second half is 2% quicker
  $\frac{2,400}{2 - 0.02}$ $= 1,212.12 s$ $= 0:20:12$
4. Take the chosen percentage off the first half to get the quicker second half
  $1,212.12 \times (1 - 0.02)$ $= 1,187.88 s$ $= 0:19:48$
5. Divide each half's time by half the distance to get the pace to hold in that half
  $\frac{1,212.12}{5} = 4:02 /km; \frac{1,187.88}{5} = 3:58 /km$
4. Average pace per kilometer: 4:33 /km
1. Convert the target time to seconds
  $0 h 50 min 0 s$ $= 3,000 s$
2. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{3,000 s}{11 km}$ $= 272.73 s/km$ $= 4:33 /km$
5. Average pace per mile: 25:13 /mi
1. Convert the target time to seconds
  $3 h 55 min 0 s$ $= 14,100 s$
2. Convert the distance to miles (1 mile = 1.609344 km)
  $\frac{15 km}{1.609344}$ $= 9.3206 mi$
3. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{14,100 s}{9.3206 mi}$ $= 1,512.78 s/mi$ $= 25:13 /mi$
4. First half = total ÷ (2 − 2%), so that the second half is 2% quicker
  $\frac{14,100}{2 - 0.02}$ $= 7,121.21 s$ $= 1:58:41$
5. Take the chosen percentage off the first half to get the quicker second half
  $7,121.21 \times (1 - 0.02)$ $= 6,978.79 s$ $= 1:56:19$
6. Divide each half's time by half the distance to get the pace to hold in that half
  $\frac{7,121.21}{4.6603} = 25:28 /mi; \frac{6,978.79}{4.6603} = 24:58 /mi$
6. Average pace per kilometer: 7:43 /km
1. Convert the target time to seconds
  $0 h 54 min 0 s$ $= 3,240 s$
2. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{3,240 s}{7 km}$ $= 462.86 s/km$ $= 7:43 /km$
3. First half = total ÷ (2 − 3%), so that the second half is 3% quicker
  $\frac{3,240}{2 - 0.03}$ $= 1,644.67 s$ $= 0:27:25$
4. Take the chosen percentage off the first half to get the quicker second half
  $1,644.67 \times (1 - 0.03)$ $= 1,595.33 s$ $= 0:26:35$
5. Divide each half's time by half the distance to get the pace to hold in that half
  $\frac{1,644.67}{3.5} = 7:50 /km; \frac{1,595.33}{3.5} = 7:36 /km$
7. Average pace per kilometer: 3:20 /km
1. Convert the target time to seconds
  $0 h 30 min 0 s$ $= 1,800 s$
2. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{1,800 s}{9 km}$ $= 200 s/km$ $= 3:20 /km$
3. First half = total ÷ (2 − 2%), so that the second half is 2% quicker
  $\frac{1,800}{2 - 0.02}$ $= 909.09 s$ $= 0:15:09$
4. Take the chosen percentage off the first half to get the quicker second half
  $909.09 \times (1 - 0.02)$ $= 890.91 s$ $= 0:14:51$
5. Divide each half's time by half the distance to get the pace to hold in that half
  $\frac{909.09}{4.5} = 3:22 /km; \frac{890.91}{4.5} = 3:18 /km$
8. Average pace per mile: 3:45 /mi
1. Convert the target time to seconds
  $0 h 28 min 0 s$ $= 1,680 s$
2. Convert the distance to miles (1 mile = 1.609344 km)
  $\frac{12 km}{1.609344}$ $= 7.4565 mi$
3. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{1,680 s}{7.4565 mi}$ $= 225.31 s/mi$ $= 3:45 /mi$
9. Average pace per kilometer: 4:53 /km
1. Convert the target time to seconds
  $0 h 44 min 0 s$ $= 2,640 s$
2. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{2,640 s}{9 km}$ $= 293.33 s/km$ $= 4:53 /km$
3. First half = total ÷ (2 − 2%), so that the second half is 2% quicker
  $\frac{2,640}{2 - 0.02}$ $= 1,333.33 s$ $= 0:22:13$
4. Take the chosen percentage off the first half to get the quicker second half
  $1,333.33 \times (1 - 0.02)$ $= 1,306.67 s$ $= 0:21:47$
5. Divide each half's time by half the distance to get the pace to hold in that half
  $\frac{1,333.33}{4.5} = 4:56 /km; \frac{1,306.67}{4.5} = 4:50 /km$
10. Average pace per kilometer: 2:55 /km
1. Convert the target time to seconds
  $0 h 38 min 0 s$ $= 2,280 s$
2. Divide the time by the distance to get your average pace, written as minutes:seconds
  $\frac{2,280 s}{13 km}$ $= 175.38 s/km$ $= 2:55 /km$
3. First half = total ÷ (2 − 2%), so that the second half is 2% quicker
  $\frac{2,280}{2 - 0.02}$ $= 1,151.52 s$ $= 0:19:12$
4. Take the chosen percentage off the first half to get the quicker second half
  $1,151.52 \times (1 - 0.02)$ $= 1,128.48 s$ $= 0:18:48$
5. Divide each half's time by half the distance to get the pace to hold in that half
  $\frac{1,151.52}{6.5} = 2:57 /km; \frac{1,128.48}{6.5} = 2:54 /km$