Let’s go step by step to solve each question using the table of cyclists and their distances.
First, let’s list all the cyclists and their distances clearly:
1. Gina – 40 1/2
2. Rey – 50
3. Faye – 55 3/4
4. Mark – 60
5. John – 45
6. James – 55 1/4
7. Albert – 60
8. William – 45
9. Nathan – 40 1/2
10. Kate – 50
11. Mary – 45
12. Risa – 40 1/2
13. Paul – 60
14. Abi – 40 1/2
15. Joan – 55 3/4
That’s 15 names total.
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Question 1: How many cyclists were there?
We just counted — 15 names in the list.
✔ Answer:
15
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Question 2: What was the longest distance traveled?
Look at all the distances:
- 40 1/2 appears multiple times
- 45 appears a few times
- 50 appears twice
- 55 1/4 (James)
- 55 3/4 (Faye and Joan)
- 60 (Mark, Albert, Paul)
The biggest number here is
60 miles.
✔ Answer:
60 miles
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Question 3: How many cyclists traveled less than 50 miles?
Less than 50 means: 40 1/2 or 45.
Let’s count:
- 40 1/2: Gina, Nathan, Risa, Abi → that’s 4
- 45: John, William, Mary → that’s 3
Total = 4 + 3 =
7
Wait — let’s double-check the list:
Gina (40½), Nathan (40½), Risa (40½), Abi (40½) → 4
John (45), William (45), Mary (45) → 3
Any others? No. Rey is 50 — not less than 50. So yes, 7.
✔ Answer:
7
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Question 4: What was the most common distance traveled by the cyclists?
This means: which distance appears most often?
Let’s tally:
- 40 1/2: Gina, Nathan, Risa, Abi → 4 times
- 45: John, William, Mary → 3 times
- 50: Rey, Kate → 2 times
- 55 1/4: James → 1 time
- 55 3/4: Faye, Joan → 2 times
- 60: Mark, Albert, Paul → 3 times
So 40 1/2 appears 4 times — more than any other.
✔ Answer:
40 1/2 miles
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Question 5: How many more cyclists traveled 45 miles than 55 1/4 miles?
Cyclists who traveled 45 miles: John, William, Mary → 3
Cyclists who traveled 55 1/4 miles: only James → 1
Difference: 3 - 1 =
2
✔ Answer:
2
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Question 6: How many cyclists traveled more than 45 miles?
More than 45 means: 50, 55 1/4, 55 3/4, 60
List them:
- 50: Rey, Kate → 2
- 55 1/4: James → 1
- 55 3/4: Faye, Joan → 2
- 60: Mark, Albert, Paul → 3
Add them up: 2 + 1 + 2 + 3 =
8
Double-check: Total cyclists = 15
Those with ≤45: 40½ (4) + 45 (3) = 7
So 15 - 7 = 8 → matches!
✔ Answer:
8
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Final Answer:
1. 15
2. 60 miles
3. 7
4. 40 1/2 miles
5. 2
6. 8
Parent Tip: Review the logic above to help your child master the concept of line plots with fractions 5th grade worksheet.