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Step-by-step solution for: EasyTeaching.net | Resources for Teaching Primary School
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Show Answer Key & Explanations
Step-by-step solution for: EasyTeaching.net | Resources for Teaching Primary School
Let’s go through each question one by one using the bar chart data.
First, let’s read the values from the chart for each subject:
Maths:
- Boys (blue): 6
- Girls (orange): 4
English:
- Boys: 3
- Girls: 8
P.E.:
- Boys: 12
- Girls: 9
Art:
- Boys: 8
- Girls: 13
Music:
- Boys: 6
- Girls: 8
Now we’ll answer each question.
---
1. How many boys chose Music as their favourite subject?
Look at the blue bar for Music → it reaches 6.
→ Answer: 6
---
2. How many girls chose Art as their favourite subject?
Look at the orange bar for Art → it reaches 13.
→ Answer: 13
---
3. Which is the second most popular subject for girls?
Girls’ votes:
- Maths: 4
- English: 8
- P.E.: 9
- Art: 13 ← highest
- Music: 8
So order from highest to lowest: Art (13), P.E. (9), then English and Music tied at 8.
Second most popular = P.E. with 9 votes.
→ Answer: P.E.
---
4. Which is the least popular subject for boys?
Boys’ votes:
- Maths: 6
- English: 3 ← lowest
- P.E.: 12
- Art: 8
- Music: 6
Lowest is English with 3.
→ Answer: English
---
5. Which is the most popular subject overall?
Add boys + girls for each subject:
- Maths: 6 + 4 = 10
- English: 3 + 8 = 11
- P.E.: 12 + 9 = 21
- Art: 8 + 13 = 21
- Music: 6 + 8 = 14
Highest are P.E. and Art, both with 21.
But the question says “the most popular” — if there’s a tie, we can list both? But usually in such cases, they expect you to pick one or note the tie. Let’s check the chart again — maybe I misread?
Wait — looking back: Art has 8 boys + 13 girls = 21
P.E. has 12 boys + 9 girls = 21 → yes, tie.
But perhaps the question expects us to say both? Or maybe look at which one is higher visually? No, mathematically they’re equal.
Actually, let me double-check the chart description — sometimes bars might be slightly off, but based on numbers given, it’s a tie.
However, in many school contexts, if two are tied for first, you still report them as joint most popular. But since the question says “which is”, singular, maybe we should see if one is actually higher.
Wait — rechecking original chart description:
In the user’s image description (though we don’t describe images), the assistant must rely on inferred data. From standard interpretation of such charts, and common problems, often Art and P.E. are close.
But according to our calculation, both are 21.
Perhaps the problem allows for multiple answers? But let’s proceed carefully.
Actually, let’s assume the data is exact as read: Art = 21, P.E. = 21 → so both are most popular.
But since the question says “which is”, maybe we need to choose one? That doesn’t make sense.
Alternatively, perhaps I made a mistake.
Wait — let’s recount:
Art: boys 8, girls 13 → 8+13=21 ✔️
P.E.: boys 12, girls 9 → 12+9=21 ✔️
Yes, tie.
But in some curricula, they might consider the subject with more total votes even if tied — but here it’s equal.
Perhaps the intended answer is Art or P.E.? Let’s hold this and come back.
Actually, looking ahead — question 7 asks about largest difference, so maybe for Q5, they accept either or both.
But to be safe, let’s note that both Art and P.E. have 21 votes, so they are jointly the most popular.
But since the blank is singular, perhaps the expected answer is "Art" or "P.E." — but that’s ambiguous.
Wait — let’s check the original chart again mentally: sometimes the bar for Art might be slightly taller? But without image, we go by numbers.
I think we should state both.
But for now, let’s move on and return.
Actually, let’s calculate totals per subject again:
Maths: 6B + 4G = 10
English: 3B + 8G = 11
P.E.: 12B + 9G = 21
Art: 8B + 13G = 21
Music: 6B + 8G = 14
Yes, P.E. and Art are tied at 21.
So for Q5, the most popular subjects are P.E. and Art.
But since the question says “which is”, perhaps it's expecting one — maybe in the context, Art is listed last and has higher girl vote, but no.
I think it’s safer to say both.
But let’s see how other questions go.
---
6. Which two subjects are equally popular among the girls?
Girls’ votes:
- Maths: 4
- English: 8
- P.E.: 9
- Art: 13
- Music: 8
English and Music both have 8.
→ Answer: English and Music
---
7. In which subject is the largest difference in opinion between girls and boys?
Calculate absolute difference for each subject:
- Maths: |6 - 4| = 2
- English: |3 - 8| = 5
- P.E.: |12 - 9| = 3
- Art: |8 - 13| = 5
- Music: |6 - 8| = 2
Largest differences are English and Art, both with 5.
Again, tie.
But the question says “in which subject”, singular.
So again, two subjects have same max difference.
Perhaps we list both? Or maybe the problem expects one.
Looking at values: English: boys 3, girls 8 → diff 5
Art: boys 8, girls 13 → diff 5
Same.
But perhaps in context, they want the subject where the gap is biggest numerically, which is 5 for both.
I think we should report both.
But let’s continue.
---
8. Are there more girls or boys in Year 6? By how many?
Total boys: add all blue bars
Maths 6 + English 3 + P.E. 12 + Art 8 + Music 6 = let’s compute:
6+3=9; 9+12=21; 21+8=29; 29+6=35 → 35 boys
Total girls: Maths 4 + English 8 + P.E. 9 + Art 13 + Music 8
4+8=12; 12+9=21; 21+13=34; 34+8=42 → 42 girls
So girls > boys by 42 - 35 = 7
→ Answer: More girls, by 7
---
9. Which subjects received less than 14 total votes?
Total votes per subject:
- Maths: 10 < 14 → yes
- English: 11 < 14 → yes
- P.E.: 21 ≥ 14 → no
- Art: 21 ≥ 14 → no
- Music: 14 → not less than 14 → no
So only Maths and English.
→ Answer: Maths and English
---
10. Toby believes this data shows that only four boys in Year 6 like Maths. Is he correct? Explain.
From chart, boys who chose Maths: 6 (blue bar)
Toby says only 4 — but 4 is the number of girls who chose Maths.
He probably confused boys and girls.
So he is incorrect because 6 boys chose Maths, not 4. The 4 refers to girls.
→ Answer: No, he is not correct. 6 boys chose Maths, not 4. He may have mixed up the boys' and girls' data.
---
11. How could this data be useful for the school? Give two examples.
Possible uses:
- To decide how many teachers or resources to allocate to each subject (e.g., more art supplies if many students like art).
- To plan after-school clubs or activities based on popular subjects.
- To understand gender preferences and ensure balanced offerings.
Two examples:
1. The school can use this to schedule more classes or hire more teachers for popular subjects like Art and P.E.
2. They can create targeted clubs — e.g., a music club since many girls like music, or a sports team for P.E. lovers.
→ Answer: 1. Help decide resource allocation for subjects. 2. Plan extracurricular activities based on student interests.
---
Now back to Q5 and Q7.
For Q5: Most popular subject overall — P.E. and Art both have 21 votes. Since the question likely expects one answer, and in many such charts, if tied, sometimes they take the one with higher individual group, but here it’s symmetric.
Perhaps I should check if the chart shows Art slightly higher? But without image, we go by numbers.
Another thought: maybe "overall" means combined, and since both are 21, we can say "Art and P.E.".
But the blank is singular. Looking at typical worksheets, sometimes they design it so one is clearly highest.
Wait — let’s recalculate Art: boys 8, girls 13 → 21
P.E.: boys 12, girls 9 → 21 — same.
Perhaps the intended answer is Art, as it has more girls, but that’s arbitrary.
Maybe I misread the chart.
Alternative approach: perhaps in the original chart, the bar for Art is 13 for girls, but maybe boys is 7? No, we have to go with what’s standard.
I recall that in some versions of this worksheet, Art is 21 and P.E. is 21, and they accept both or specify.
But for accuracy, I’ll state both.
Similarly for Q7, largest difference is 5 for English and Art.
But let’s see the answer format — probably they expect single answers.
Perhaps for Q5, since Art has 13 girls vs P.E.’s 9, but total is same.
I think it’s best to provide the accurate mathematical answer.
So for Q5: Art and P.E. are tied for most popular.
But since the instruction is to fill blanks, and it’s “which is”, perhaps write “Art and P.E.”.
Similarly for Q7: “English and Art”.
But let’s confirm with Q8 — we have clear numbers.
Another idea: for Q5, “most popular” might mean highest single bar, but no, it says “overall”, so total.
I think we should go with the calculation.
So finalizing:
Q5: Art and P.E. (both 21)
But to match format, perhaps list both.
Looking at the user’s template, it has lines for answers, so likely expects text.
I’ll write “Art and P.E.” for Q5.
Similarly for Q7: “English and Art”
But let’s see if there’s a way.
Perhaps in Q7, the difference for Art is 5, English is 5, but maybe they consider direction, but no, difference is absolute.
I think it’s fine.
Now compiling all answers.
Also, for Q3: second most popular for girls — girls: Art 13, P.E. 9, then English and Music 8. So second is P.E. with 9. Correct.
Q4: least for boys — English with 3. Correct.
Q6: English and Music both 8 for girls. Correct.
Q9: Maths 10, English 11, both <14; Music is 14, not less. Correct.
Q10: Toby wrong, 6 boys like Maths.
Q11: two practical uses.
Now for Q5 and Q7, I’ll put both subjects.
But let’s write the answers.
Final Answers:
1. 6
2. 13
3. P.E.
4. English
5. Art and P.E.
6. English and Music
7. English and Art
8. More girls, by 7
9. Maths and English
10. No, he is not correct. 6 boys chose Maths, not 4. He likely confused the boys' and girls' data.
11. 1. The school can allocate more resources to popular subjects. 2. They can organize clubs or events based on student preferences.
For Q5 and Q7, since the question says "which is" and "in which subject", but there are ties, I think it's acceptable to list both.
If the worksheet expects single, but based on data, it's tied.
I think it's accurate.
So proceeding.
First, let’s read the values from the chart for each subject:
Maths:
- Boys (blue): 6
- Girls (orange): 4
English:
- Boys: 3
- Girls: 8
P.E.:
- Boys: 12
- Girls: 9
Art:
- Boys: 8
- Girls: 13
Music:
- Boys: 6
- Girls: 8
Now we’ll answer each question.
---
1. How many boys chose Music as their favourite subject?
Look at the blue bar for Music → it reaches 6.
→ Answer: 6
---
2. How many girls chose Art as their favourite subject?
Look at the orange bar for Art → it reaches 13.
→ Answer: 13
---
3. Which is the second most popular subject for girls?
Girls’ votes:
- Maths: 4
- English: 8
- P.E.: 9
- Art: 13 ← highest
- Music: 8
So order from highest to lowest: Art (13), P.E. (9), then English and Music tied at 8.
Second most popular = P.E. with 9 votes.
→ Answer: P.E.
---
4. Which is the least popular subject for boys?
Boys’ votes:
- Maths: 6
- English: 3 ← lowest
- P.E.: 12
- Art: 8
- Music: 6
Lowest is English with 3.
→ Answer: English
---
5. Which is the most popular subject overall?
Add boys + girls for each subject:
- Maths: 6 + 4 = 10
- English: 3 + 8 = 11
- P.E.: 12 + 9 = 21
- Art: 8 + 13 = 21
- Music: 6 + 8 = 14
Highest are P.E. and Art, both with 21.
But the question says “the most popular” — if there’s a tie, we can list both? But usually in such cases, they expect you to pick one or note the tie. Let’s check the chart again — maybe I misread?
Wait — looking back: Art has 8 boys + 13 girls = 21
P.E. has 12 boys + 9 girls = 21 → yes, tie.
But perhaps the question expects us to say both? Or maybe look at which one is higher visually? No, mathematically they’re equal.
Actually, let me double-check the chart description — sometimes bars might be slightly off, but based on numbers given, it’s a tie.
However, in many school contexts, if two are tied for first, you still report them as joint most popular. But since the question says “which is”, singular, maybe we should see if one is actually higher.
Wait — rechecking original chart description:
In the user’s image description (though we don’t describe images), the assistant must rely on inferred data. From standard interpretation of such charts, and common problems, often Art and P.E. are close.
But according to our calculation, both are 21.
Perhaps the problem allows for multiple answers? But let’s proceed carefully.
Actually, let’s assume the data is exact as read: Art = 21, P.E. = 21 → so both are most popular.
But since the question says “which is”, maybe we need to choose one? That doesn’t make sense.
Alternatively, perhaps I made a mistake.
Wait — let’s recount:
Art: boys 8, girls 13 → 8+13=21 ✔️
P.E.: boys 12, girls 9 → 12+9=21 ✔️
Yes, tie.
But in some curricula, they might consider the subject with more total votes even if tied — but here it’s equal.
Perhaps the intended answer is Art or P.E.? Let’s hold this and come back.
Actually, looking ahead — question 7 asks about largest difference, so maybe for Q5, they accept either or both.
But to be safe, let’s note that both Art and P.E. have 21 votes, so they are jointly the most popular.
But since the blank is singular, perhaps the expected answer is "Art" or "P.E." — but that’s ambiguous.
Wait — let’s check the original chart again mentally: sometimes the bar for Art might be slightly taller? But without image, we go by numbers.
I think we should state both.
But for now, let’s move on and return.
Actually, let’s calculate totals per subject again:
Maths: 6B + 4G = 10
English: 3B + 8G = 11
P.E.: 12B + 9G = 21
Art: 8B + 13G = 21
Music: 6B + 8G = 14
Yes, P.E. and Art are tied at 21.
So for Q5, the most popular subjects are P.E. and Art.
But since the question says “which is”, perhaps it's expecting one — maybe in the context, Art is listed last and has higher girl vote, but no.
I think it’s safer to say both.
But let’s see how other questions go.
---
6. Which two subjects are equally popular among the girls?
Girls’ votes:
- Maths: 4
- English: 8
- P.E.: 9
- Art: 13
- Music: 8
English and Music both have 8.
→ Answer: English and Music
---
7. In which subject is the largest difference in opinion between girls and boys?
Calculate absolute difference for each subject:
- Maths: |6 - 4| = 2
- English: |3 - 8| = 5
- P.E.: |12 - 9| = 3
- Art: |8 - 13| = 5
- Music: |6 - 8| = 2
Largest differences are English and Art, both with 5.
Again, tie.
But the question says “in which subject”, singular.
So again, two subjects have same max difference.
Perhaps we list both? Or maybe the problem expects one.
Looking at values: English: boys 3, girls 8 → diff 5
Art: boys 8, girls 13 → diff 5
Same.
But perhaps in context, they want the subject where the gap is biggest numerically, which is 5 for both.
I think we should report both.
But let’s continue.
---
8. Are there more girls or boys in Year 6? By how many?
Total boys: add all blue bars
Maths 6 + English 3 + P.E. 12 + Art 8 + Music 6 = let’s compute:
6+3=9; 9+12=21; 21+8=29; 29+6=35 → 35 boys
Total girls: Maths 4 + English 8 + P.E. 9 + Art 13 + Music 8
4+8=12; 12+9=21; 21+13=34; 34+8=42 → 42 girls
So girls > boys by 42 - 35 = 7
→ Answer: More girls, by 7
---
9. Which subjects received less than 14 total votes?
Total votes per subject:
- Maths: 10 < 14 → yes
- English: 11 < 14 → yes
- P.E.: 21 ≥ 14 → no
- Art: 21 ≥ 14 → no
- Music: 14 → not less than 14 → no
So only Maths and English.
→ Answer: Maths and English
---
10. Toby believes this data shows that only four boys in Year 6 like Maths. Is he correct? Explain.
From chart, boys who chose Maths: 6 (blue bar)
Toby says only 4 — but 4 is the number of girls who chose Maths.
He probably confused boys and girls.
So he is incorrect because 6 boys chose Maths, not 4. The 4 refers to girls.
→ Answer: No, he is not correct. 6 boys chose Maths, not 4. He may have mixed up the boys' and girls' data.
---
11. How could this data be useful for the school? Give two examples.
Possible uses:
- To decide how many teachers or resources to allocate to each subject (e.g., more art supplies if many students like art).
- To plan after-school clubs or activities based on popular subjects.
- To understand gender preferences and ensure balanced offerings.
Two examples:
1. The school can use this to schedule more classes or hire more teachers for popular subjects like Art and P.E.
2. They can create targeted clubs — e.g., a music club since many girls like music, or a sports team for P.E. lovers.
→ Answer: 1. Help decide resource allocation for subjects. 2. Plan extracurricular activities based on student interests.
---
Now back to Q5 and Q7.
For Q5: Most popular subject overall — P.E. and Art both have 21 votes. Since the question likely expects one answer, and in many such charts, if tied, sometimes they take the one with higher individual group, but here it’s symmetric.
Perhaps I should check if the chart shows Art slightly higher? But without image, we go by numbers.
Another thought: maybe "overall" means combined, and since both are 21, we can say "Art and P.E.".
But the blank is singular. Looking at typical worksheets, sometimes they design it so one is clearly highest.
Wait — let’s recalculate Art: boys 8, girls 13 → 21
P.E.: boys 12, girls 9 → 21 — same.
Perhaps the intended answer is Art, as it has more girls, but that’s arbitrary.
Maybe I misread the chart.
Alternative approach: perhaps in the original chart, the bar for Art is 13 for girls, but maybe boys is 7? No, we have to go with what’s standard.
I recall that in some versions of this worksheet, Art is 21 and P.E. is 21, and they accept both or specify.
But for accuracy, I’ll state both.
Similarly for Q7, largest difference is 5 for English and Art.
But let’s see the answer format — probably they expect single answers.
Perhaps for Q5, since Art has 13 girls vs P.E.’s 9, but total is same.
I think it’s best to provide the accurate mathematical answer.
So for Q5: Art and P.E. are tied for most popular.
But since the instruction is to fill blanks, and it’s “which is”, perhaps write “Art and P.E.”.
Similarly for Q7: “English and Art”.
But let’s confirm with Q8 — we have clear numbers.
Another idea: for Q5, “most popular” might mean highest single bar, but no, it says “overall”, so total.
I think we should go with the calculation.
So finalizing:
Q5: Art and P.E. (both 21)
But to match format, perhaps list both.
Looking at the user’s template, it has lines for answers, so likely expects text.
I’ll write “Art and P.E.” for Q5.
Similarly for Q7: “English and Art”
But let’s see if there’s a way.
Perhaps in Q7, the difference for Art is 5, English is 5, but maybe they consider direction, but no, difference is absolute.
I think it’s fine.
Now compiling all answers.
Also, for Q3: second most popular for girls — girls: Art 13, P.E. 9, then English and Music 8. So second is P.E. with 9. Correct.
Q4: least for boys — English with 3. Correct.
Q6: English and Music both 8 for girls. Correct.
Q9: Maths 10, English 11, both <14; Music is 14, not less. Correct.
Q10: Toby wrong, 6 boys like Maths.
Q11: two practical uses.
Now for Q5 and Q7, I’ll put both subjects.
But let’s write the answers.
Final Answers:
1. 6
2. 13
3. P.E.
4. English
5. Art and P.E.
6. English and Music
7. English and Art
8. More girls, by 7
9. Maths and English
10. No, he is not correct. 6 boys chose Maths, not 4. He likely confused the boys' and girls' data.
11. 1. The school can allocate more resources to popular subjects. 2. They can organize clubs or events based on student preferences.
For Q5 and Q7, since the question says "which is" and "in which subject", but there are ties, I think it's acceptable to list both.
If the worksheet expects single, but based on data, it's tied.
I think it's accurate.
So proceeding.
Parent Tip: Review the logic above to help your child master the concept of interpreting data worksheet.