Line Graphs 6th Grade Worksheets - Free Printable
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Step-by-step solution for: Line Graphs 6th Grade Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Line Graphs 6th Grade Worksheets
Let’s go step by step to answer each question using the line graph.
We are looking at a line graph titled “Average Monthly Rainfall in New York City.” The vertical axis (y-axis) shows rainfall in inches, from 0 to 5. The horizontal axis (x-axis) lists the months: January through December.
We’ll read the values for each month as accurately as possible from the graph (estimating to one decimal place).
Here’s what we can estimate from the graph:
- January: ~3.4
- February: ~3.2
- March: ~4.1
- April: ~3.7
- May: ~3.9
- June: ~3.6
- July: ~4.4
- August: ~4.1
- September: ~4.2
- October: ~3.8
- November: ~3.4
- December: ~4.5
Now let’s answer each question:
---
1) What was the highest amount of rainfall recorded?
Look for the highest point on the graph — that’s December at about 4.5 inches.
→ Answer: 4.5
---
2) Which month had the least rainfall?
Look for the lowest point — that’s February at about 3.2 inches.
→ Answer: February
---
3) How much did the total rainfall increase between February and March?
February: 3.2
March: 4.1
Increase = 4.1 - 3.2 = 0.9
→ Answer: 0.9
---
4) What was the total rain fall in October, November and December?
October: 3.8
November: 3.4
December: 4.5
Total = 3.8 + 3.4 + 4.5 = 11.7
→ Answer: 11.7
---
5) How much rainfall occurred between October and September?
This is asking for the difference between October and September.
September: 4.2
October: 3.8
Difference = 4.2 - 3.8 = 0.4
But note: it says “between October and September” — since October comes after September, and rainfall decreased, the change is negative? But usually in these contexts, they want the absolute difference or just how much it changed. Since the question doesn’t specify direction, and given the wording “how much rainfall occurred between”, it likely means the difference in value.
Actually, re-reading: “How much rainfall occurred between October and September?” — this is ambiguous. But looking at context, probably means “what was the difference in rainfall from September to October?”
So: September → October: 4.2 to 3.8 → decrease of 0.4
But if they mean total over both months? That would be unusual. Let’s check the wording again.
Wait — question 4 says “total rainfall in October, November and December” — so “in” means sum.
Question 5: “between October and September” — that’s odd phrasing. Probably means “from September to October” — i.e., the change.
In many worksheets, “between A and B” when talking about two consecutive months often means the difference.
Also, looking at question 6: “difference... between autumn and winter” — which implies subtraction.
So for Q5: likely wants the difference: |4.2 - 3.8| = 0.4, but since it went down, maybe -0.4? But the worksheet says “give your answers to 1 decimal place” — doesn’t specify sign.
Looking at the graph trend: September is higher than October, so rainfall decreased by 0.4 inches.
But let’s see the exact wording: “How much rainfall occurred between October and September?”
That’s poorly worded. It might mean “what was the rainfall in the period between those months?” — but there’s no month between them.
I think it’s a typo or misphrasing — likely meant “from September to October”.
Given that, and to match typical worksheet style, I’ll assume they want the numerical difference: 0.4 inches less in October than September.
But since it says “occurred”, maybe they want the amount that fell in those two months combined? That would be 4.2 + 3.8 = 8.0 — but that seems unlikely because question 4 already used “total” for three months.
Another possibility: “between” meaning the interval — but again, no data between.
I think safest is to interpret as the difference: September minus October = 4.2 - 3.8 = 0.4
And since the question doesn’t say “increase” or “decrease”, just “how much... occurred between”, perhaps they want the absolute difference.
Looking at similar questions online, often “between A and B” for two points means the difference.
I’ll go with 0.4 (the magnitude of change).
But let’s double-check with the graph: September peak is at 4.2, October dips to 3.8 — so drop of 0.4.
Answer: 0.4
---
6) What is the difference in rainfall between the autumn and winter months?
First, define seasons:
Typically in Northern Hemisphere:
- Autumn: September, October, November
- Winter: December, January, February
So:
Autumn total: Sep + Oct + Nov = 4.2 + 3.8 + 3.4 = 11.4
Winter total: Dec + Jan + Feb = 4.5 + 3.4 + 3.2 = 11.1
Difference = |11.4 - 11.1| = 0.3
Or if they want autumn minus winter: 11.4 - 11.1 = 0.3
Since it says “difference”, usually absolute, but sometimes signed. Given context, likely positive 0.3.
Answer: 0.3
---
7) Which 2 consecutive months had a combined rainfall of 8.5 inches?
We need to check pairs of consecutive months whose sum is 8.5.
Let’s list monthly values again:
Jan: 3.4
Feb: 3.2
Mar: 4.1
Apr: 3.7
May: 3.9
Jun: 3.6
Jul: 4.4
Aug: 4.1
Sep: 4.2
Oct: 3.8
Nov: 3.4
Dec: 4.5
Now check consecutive pairs:
Jan+Feb: 3.4+3.2=6.6
Feb+Mar: 3.2+4.1=7.3
Mar+Apr: 4.1+3.7=7.8
Apr+May: 3.7+3.9=7.6
May+Jun: 3.9+3.6=7.5
Jun+Jul: 3.6+4.4=8.0
Jul+Aug: 4.4+4.1=8.5 ← YES!
Aug+Sep: 4.1+4.2=8.3
Sep+Oct: 4.2+3.8=8.0
Oct+Nov: 3.8+3.4=7.2
Nov+Dec: 3.4+4.5=7.9
Dec+Jan: 4.5+3.4=7.9 (but not consecutive in year order? Usually we consider Jan-Dec cycle, but "consecutive" typically means adjacent in the sequence shown, so Dec and Jan are not considered consecutive unless specified.)
The pair July and August gives exactly 8.5.
Answer: July and August
---
8) How many months had the total rainfall less than 4 inches?
Count months where rainfall < 4.0
From our estimates:
Jan: 3.4 → yes
Feb: 3.2 → yes
Mar: 4.1 → no
Apr: 3.7 → yes
May: 3.9 → yes
Jun: 3.6 → yes
Jul: 4.4 → no
Aug: 4.1 → no
Sep: 4.2 → no
Oct: 3.8 → yes
Nov: 3.4 → yes
Dec: 4.5 → no
So: Jan, Feb, Apr, May, Jun, Oct, Nov → that’s 7 months.
List: 1.Jan, 2.Feb, 4.Apr, 5.May, 6.Jun, 10.Oct, 11.Nov → 7 months.
Answer: 7
---
Final Answers:
1) 4.5
2) February
3) 0.9
4) 11.7
5) 0.4
6) 0.3
7) July and August
8) 7
──────────────────────────────────────
Final Answer:
1) 4.5
2) February
3) 0.9
4) 11.7
5) 0.4
6) 0.3
7) July and August
8) 7
We are looking at a line graph titled “Average Monthly Rainfall in New York City.” The vertical axis (y-axis) shows rainfall in inches, from 0 to 5. The horizontal axis (x-axis) lists the months: January through December.
We’ll read the values for each month as accurately as possible from the graph (estimating to one decimal place).
Here’s what we can estimate from the graph:
- January: ~3.4
- February: ~3.2
- March: ~4.1
- April: ~3.7
- May: ~3.9
- June: ~3.6
- July: ~4.4
- August: ~4.1
- September: ~4.2
- October: ~3.8
- November: ~3.4
- December: ~4.5
Now let’s answer each question:
---
1) What was the highest amount of rainfall recorded?
Look for the highest point on the graph — that’s December at about 4.5 inches.
→ Answer: 4.5
---
2) Which month had the least rainfall?
Look for the lowest point — that’s February at about 3.2 inches.
→ Answer: February
---
3) How much did the total rainfall increase between February and March?
February: 3.2
March: 4.1
Increase = 4.1 - 3.2 = 0.9
→ Answer: 0.9
---
4) What was the total rain fall in October, November and December?
October: 3.8
November: 3.4
December: 4.5
Total = 3.8 + 3.4 + 4.5 = 11.7
→ Answer: 11.7
---
5) How much rainfall occurred between October and September?
This is asking for the difference between October and September.
September: 4.2
October: 3.8
Difference = 4.2 - 3.8 = 0.4
But note: it says “between October and September” — since October comes after September, and rainfall decreased, the change is negative? But usually in these contexts, they want the absolute difference or just how much it changed. Since the question doesn’t specify direction, and given the wording “how much rainfall occurred between”, it likely means the difference in value.
Actually, re-reading: “How much rainfall occurred between October and September?” — this is ambiguous. But looking at context, probably means “what was the difference in rainfall from September to October?”
So: September → October: 4.2 to 3.8 → decrease of 0.4
But if they mean total over both months? That would be unusual. Let’s check the wording again.
Wait — question 4 says “total rainfall in October, November and December” — so “in” means sum.
Question 5: “between October and September” — that’s odd phrasing. Probably means “from September to October” — i.e., the change.
In many worksheets, “between A and B” when talking about two consecutive months often means the difference.
Also, looking at question 6: “difference... between autumn and winter” — which implies subtraction.
So for Q5: likely wants the difference: |4.2 - 3.8| = 0.4, but since it went down, maybe -0.4? But the worksheet says “give your answers to 1 decimal place” — doesn’t specify sign.
Looking at the graph trend: September is higher than October, so rainfall decreased by 0.4 inches.
But let’s see the exact wording: “How much rainfall occurred between October and September?”
That’s poorly worded. It might mean “what was the rainfall in the period between those months?” — but there’s no month between them.
I think it’s a typo or misphrasing — likely meant “from September to October”.
Given that, and to match typical worksheet style, I’ll assume they want the numerical difference: 0.4 inches less in October than September.
But since it says “occurred”, maybe they want the amount that fell in those two months combined? That would be 4.2 + 3.8 = 8.0 — but that seems unlikely because question 4 already used “total” for three months.
Another possibility: “between” meaning the interval — but again, no data between.
I think safest is to interpret as the difference: September minus October = 4.2 - 3.8 = 0.4
And since the question doesn’t say “increase” or “decrease”, just “how much... occurred between”, perhaps they want the absolute difference.
Looking at similar questions online, often “between A and B” for two points means the difference.
I’ll go with 0.4 (the magnitude of change).
But let’s double-check with the graph: September peak is at 4.2, October dips to 3.8 — so drop of 0.4.
Answer: 0.4
---
6) What is the difference in rainfall between the autumn and winter months?
First, define seasons:
Typically in Northern Hemisphere:
- Autumn: September, October, November
- Winter: December, January, February
So:
Autumn total: Sep + Oct + Nov = 4.2 + 3.8 + 3.4 = 11.4
Winter total: Dec + Jan + Feb = 4.5 + 3.4 + 3.2 = 11.1
Difference = |11.4 - 11.1| = 0.3
Or if they want autumn minus winter: 11.4 - 11.1 = 0.3
Since it says “difference”, usually absolute, but sometimes signed. Given context, likely positive 0.3.
Answer: 0.3
---
7) Which 2 consecutive months had a combined rainfall of 8.5 inches?
We need to check pairs of consecutive months whose sum is 8.5.
Let’s list monthly values again:
Jan: 3.4
Feb: 3.2
Mar: 4.1
Apr: 3.7
May: 3.9
Jun: 3.6
Jul: 4.4
Aug: 4.1
Sep: 4.2
Oct: 3.8
Nov: 3.4
Dec: 4.5
Now check consecutive pairs:
Jan+Feb: 3.4+3.2=6.6
Feb+Mar: 3.2+4.1=7.3
Mar+Apr: 4.1+3.7=7.8
Apr+May: 3.7+3.9=7.6
May+Jun: 3.9+3.6=7.5
Jun+Jul: 3.6+4.4=8.0
Jul+Aug: 4.4+4.1=8.5 ← YES!
Aug+Sep: 4.1+4.2=8.3
Sep+Oct: 4.2+3.8=8.0
Oct+Nov: 3.8+3.4=7.2
Nov+Dec: 3.4+4.5=7.9
Dec+Jan: 4.5+3.4=7.9 (but not consecutive in year order? Usually we consider Jan-Dec cycle, but "consecutive" typically means adjacent in the sequence shown, so Dec and Jan are not considered consecutive unless specified.)
The pair July and August gives exactly 8.5.
Answer: July and August
---
8) How many months had the total rainfall less than 4 inches?
Count months where rainfall < 4.0
From our estimates:
Jan: 3.4 → yes
Feb: 3.2 → yes
Mar: 4.1 → no
Apr: 3.7 → yes
May: 3.9 → yes
Jun: 3.6 → yes
Jul: 4.4 → no
Aug: 4.1 → no
Sep: 4.2 → no
Oct: 3.8 → yes
Nov: 3.4 → yes
Dec: 4.5 → no
So: Jan, Feb, Apr, May, Jun, Oct, Nov → that’s 7 months.
List: 1.Jan, 2.Feb, 4.Apr, 5.May, 6.Jun, 10.Oct, 11.Nov → 7 months.
Answer: 7
---
Final Answers:
1) 4.5
2) February
3) 0.9
4) 11.7
5) 0.4
6) 0.3
7) July and August
8) 7
──────────────────────────────────────
Final Answer:
1) 4.5
2) February
3) 0.9
4) 11.7
5) 0.4
6) 0.3
7) July and August
8) 7
Parent Tip: Review the logic above to help your child master the concept of line graphs worksheet 6th grade.