Colourful Equivalences (B) Worksheet | Cazoom Maths Worksheets - Free Printable
Educational worksheet: Colourful Equivalences (B) Worksheet | Cazoom Maths Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Colourful Equivalences (B) Worksheet | Cazoom Maths Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Colourful Equivalences (B) Worksheet | Cazoom Maths Worksheets
Let’s go grid by grid and find the three boxes that show equivalent values — one fraction, one decimal, and one percentage.
We’ll convert each value to a common form (like decimal) to check if they match.
---
Grid 1:
Values:
- 7/10 = 0.7 → 70%
- 25% = 0.25
- 3/4 = 0.75 → 75%
- 0.75 → 75%
- 7% = 0.07
- 73% = 0.73
- 75% = 0.75
- 0.25 → 25%
- 1/7 ≈ 0.142...
Look for matching set:
→ 0.75, 75%, and 3/4 are all equal!
✔ So color: 0.75, 75%, 3/4
---
Grid 2:
Values:
- 0.2 = 20%
- 1/2 = 0.5 = 50%
- 2% = 0.02
- 0.15 = 15%
- 1/5 = 0.2 = 20%
- 22% = 0.22
- 5% = 0.05
- 0.5 = 50%
- 20% = 0.2
Match:
→ 0.2, 1/5, and 20% are all equal!
✔ Color: 0.2, 1/5, 20%
---
Grid 3:
Values:
- 1/7 ≈ 0.142...
- 40% = 0.4
- 3/4 = 0.75
- 0.25 = 25%
- 4/10 = 0.4 = 40%
- 25% = 0.25
- 44/100 = 0.44
- 0.52
- 1/4 = 0.25 = 25%
Match:
→ 0.25, 25%, and 1/4 are all equal!
✔ Color: 0.25, 25%, 1/4
*(Note: 4/10 and 40% also match, but we need only one set per grid — and 0.25/25%/1/4 is clearly there.)*
Wait — let’s double-check: Is there another set?
Actually, 4/10 = 0.4 = 40% — that’s also a valid set!
But the instruction says “colour three boxes” — meaning one set per grid. Either set works, but let’s pick the clearest.
Looking again: 0.25, 25%, and 1/4 are all present and exact.
Also, 4/10, 40%, and... wait, is there a 0.4? No, 0.4 isn’t in this grid. Only 4/10 and 40% — no third match.
So yes, 0.25, 25%, 1/4 is correct.
✔ Final for Grid 3: 0.25, 25%, 1/4
---
Grid 4:
Values:
- 7/10 = 0.7 = 70%
- 77% = 0.77
- 7/100 = 0.07
- 0.75 = 75%
- 7% = 0.07
- 70% = 0.7
- 75% = 0.75
- 0.7 = 70%
- 1/7 ≈ 0.142...
Match:
→ 0.7, 70%, and 7/10 are all equal!
✔ Color: 0.7, 70%, 7/10
---
Grid 5:
Values:
- 0.25 = 25%
- 0.025 = 2.5%
- 1/2 % = 0.5% = 0.005
- 0.15 = 15%
- 2/5 = 0.4 = 40%
- 50% = 0.5
- 1/2 = 0.5 = 50%
- 0.5 = 50%
- 20% = 0.2
Match:
→ 0.5, 50%, and 1/2 are all equal!
✔ Color: 0.5, 50%, 1/2
---
Grid 6:
Values:
- 5/15 = 1/3 ≈ 0.333...
- 15% = 0.15
- 55/100 = 0.55 = 55%
- 0.15 = 15%
- 1/15 ≈ 0.066...
- 55% = 0.55
- 15/100 = 0.15 = 15%
- 0.51
- 1/5 = 0.2 = 20%
Match:
→ 0.15, 15%, and 15/100 are all equal!
✔ Color: 0.15, 15%, 15/100
---
Grid 7:
Values:
- 4/100 = 0.04 = 4%
- 25% = 0.25
- 3/4 = 0.75
- 0.4 = 40%
- 2/5 = 0.4 = 40%
- 40% = 0.4
- 44/100 = 0.44
- 0.44
- 1/4 = 0.25 = 25%
Match:
→ 0.4, 40%, and 2/5 are all equal!
✔ Color: 0.4, 40%, 2/5
---
Grid 8:
Values:
- 6/100 = 0.06 = 6%
- 16% = 0.16
- 3/5 = 0.6 = 60%
- 0.66 ≈ 66%
- 6% = 0.06
- 66% = 0.66
- 60% = 0.6
- 0.6 = 60%
- 2/3 ≈ 0.666...
Match:
→ 0.6, 60%, and 3/5 are all equal!
✔ Color: 0.6, 60%, 3/5
---
Grid 9:
Values:
- 1/10 = 0.1 = 10%
- 1% = 0.01
- 11/100 = 0.11 = 11%
- 0.1% = 0.001
- 0.01 = 1%
- 11% = 0.11
- 1/100 = 0.01 = 1%
- 10% = 0.1
- 1.1 = 110%
Match:
→ 0.01, 1%, and 1/100 are all equal!
✔ Color: 0.01, 1%, 1/100
---
Grid 10:
Values:
- 8/10 = 0.8 = 80%
- 80% = 0.8
- 3/4 = 0.75
- 0.8 = 80%
- 4/5 = 0.8 = 80%
- 8.8% = 0.088
- 8/100 = 0.08
- 0.08 = 8%
- 1/8 = 0.125
Match:
→ 0.8, 80%, and 8/10 are all equal!
Also, 4/5 = 0.8 — so multiple options.
But we need one set: 0.8, 80%, and 8/10 or 4/5.
Since 8/10 is listed, and 0.8 and 80% — that’s fine.
✔ Color: 0.8, 80%, 8/10
(Alternatively, 4/5 could be used instead of 8/10 — both are correct. But since 8/10 is directly given, we’ll use that.)
---
Grid 11:
Values:
- 0.3 with dot = 0.333... = 1/3
- 33 1/3 % = 1/3 ≈ 0.333...
- 33/100 = 0.33
- 0.03
- 0.3
- 33% = 0.33
- 30/100 = 0.3 = 30%
- 3% = 0.03
- 1/3 ≈ 0.333...
Match:
→ 0.3̇ (repeating), 33 1/3 %, and 1/3 are all equal!
✔ Color: 0.3̇, 33 1/3 %, 1/3
---
Grid 12:
Values:
- 1/20 = 0.05 = 5%
- 0.05 = 5%
- 1/5 = 0.2 = 20%
- 0.02 = 2%
- 20% = 0.2
- 0.2% = 0.002
- 5% = 0.05
- 0.5 = 50%
- 2/100 = 0.02 = 2%
Match:
→ 0.05, 5%, and 1/20 are all equal!
✔ Color: 0.05, 5%, 1/20
---
Now, compiling all answers:
Final Answer:
Grid 1: 0.75, 75%, 3/4
Grid 2: 0.2, 1/5, 20%
Grid 3: 0.25, 25%, 1/4
Grid 4: 0.7, 70%, 7/10
Grid 5: 0.5, 50%, 1/2
Grid 6: 0.15, 15%, 15/100
Grid 7: 0.4, 40%, 2/5
Grid 8: 0.6, 60%, 3/5
Grid 9: 0.01, 1%, 1/100
Grid 10: 0.8, 80%, 8/10
Grid 11: 0.3̇, 33 1/3 %, 1/3
Grid 12: 0.05, 5%, 1/20
We’ll convert each value to a common form (like decimal) to check if they match.
---
Grid 1:
Values:
- 7/10 = 0.7 → 70%
- 25% = 0.25
- 3/4 = 0.75 → 75%
- 0.75 → 75%
- 7% = 0.07
- 73% = 0.73
- 75% = 0.75
- 0.25 → 25%
- 1/7 ≈ 0.142...
Look for matching set:
→ 0.75, 75%, and 3/4 are all equal!
✔ So color: 0.75, 75%, 3/4
---
Grid 2:
Values:
- 0.2 = 20%
- 1/2 = 0.5 = 50%
- 2% = 0.02
- 0.15 = 15%
- 1/5 = 0.2 = 20%
- 22% = 0.22
- 5% = 0.05
- 0.5 = 50%
- 20% = 0.2
Match:
→ 0.2, 1/5, and 20% are all equal!
✔ Color: 0.2, 1/5, 20%
---
Grid 3:
Values:
- 1/7 ≈ 0.142...
- 40% = 0.4
- 3/4 = 0.75
- 0.25 = 25%
- 4/10 = 0.4 = 40%
- 25% = 0.25
- 44/100 = 0.44
- 0.52
- 1/4 = 0.25 = 25%
Match:
→ 0.25, 25%, and 1/4 are all equal!
✔ Color: 0.25, 25%, 1/4
*(Note: 4/10 and 40% also match, but we need only one set per grid — and 0.25/25%/1/4 is clearly there.)*
Wait — let’s double-check: Is there another set?
Actually, 4/10 = 0.4 = 40% — that’s also a valid set!
But the instruction says “colour three boxes” — meaning one set per grid. Either set works, but let’s pick the clearest.
Looking again: 0.25, 25%, and 1/4 are all present and exact.
Also, 4/10, 40%, and... wait, is there a 0.4? No, 0.4 isn’t in this grid. Only 4/10 and 40% — no third match.
So yes, 0.25, 25%, 1/4 is correct.
✔ Final for Grid 3: 0.25, 25%, 1/4
---
Grid 4:
Values:
- 7/10 = 0.7 = 70%
- 77% = 0.77
- 7/100 = 0.07
- 0.75 = 75%
- 7% = 0.07
- 70% = 0.7
- 75% = 0.75
- 0.7 = 70%
- 1/7 ≈ 0.142...
Match:
→ 0.7, 70%, and 7/10 are all equal!
✔ Color: 0.7, 70%, 7/10
---
Grid 5:
Values:
- 0.25 = 25%
- 0.025 = 2.5%
- 1/2 % = 0.5% = 0.005
- 0.15 = 15%
- 2/5 = 0.4 = 40%
- 50% = 0.5
- 1/2 = 0.5 = 50%
- 0.5 = 50%
- 20% = 0.2
Match:
→ 0.5, 50%, and 1/2 are all equal!
✔ Color: 0.5, 50%, 1/2
---
Grid 6:
Values:
- 5/15 = 1/3 ≈ 0.333...
- 15% = 0.15
- 55/100 = 0.55 = 55%
- 0.15 = 15%
- 1/15 ≈ 0.066...
- 55% = 0.55
- 15/100 = 0.15 = 15%
- 0.51
- 1/5 = 0.2 = 20%
Match:
→ 0.15, 15%, and 15/100 are all equal!
✔ Color: 0.15, 15%, 15/100
---
Grid 7:
Values:
- 4/100 = 0.04 = 4%
- 25% = 0.25
- 3/4 = 0.75
- 0.4 = 40%
- 2/5 = 0.4 = 40%
- 40% = 0.4
- 44/100 = 0.44
- 0.44
- 1/4 = 0.25 = 25%
Match:
→ 0.4, 40%, and 2/5 are all equal!
✔ Color: 0.4, 40%, 2/5
---
Grid 8:
Values:
- 6/100 = 0.06 = 6%
- 16% = 0.16
- 3/5 = 0.6 = 60%
- 0.66 ≈ 66%
- 6% = 0.06
- 66% = 0.66
- 60% = 0.6
- 0.6 = 60%
- 2/3 ≈ 0.666...
Match:
→ 0.6, 60%, and 3/5 are all equal!
✔ Color: 0.6, 60%, 3/5
---
Grid 9:
Values:
- 1/10 = 0.1 = 10%
- 1% = 0.01
- 11/100 = 0.11 = 11%
- 0.1% = 0.001
- 0.01 = 1%
- 11% = 0.11
- 1/100 = 0.01 = 1%
- 10% = 0.1
- 1.1 = 110%
Match:
→ 0.01, 1%, and 1/100 are all equal!
✔ Color: 0.01, 1%, 1/100
---
Grid 10:
Values:
- 8/10 = 0.8 = 80%
- 80% = 0.8
- 3/4 = 0.75
- 0.8 = 80%
- 4/5 = 0.8 = 80%
- 8.8% = 0.088
- 8/100 = 0.08
- 0.08 = 8%
- 1/8 = 0.125
Match:
→ 0.8, 80%, and 8/10 are all equal!
Also, 4/5 = 0.8 — so multiple options.
But we need one set: 0.8, 80%, and 8/10 or 4/5.
Since 8/10 is listed, and 0.8 and 80% — that’s fine.
✔ Color: 0.8, 80%, 8/10
(Alternatively, 4/5 could be used instead of 8/10 — both are correct. But since 8/10 is directly given, we’ll use that.)
---
Grid 11:
Values:
- 0.3 with dot = 0.333... = 1/3
- 33 1/3 % = 1/3 ≈ 0.333...
- 33/100 = 0.33
- 0.03
- 0.3
- 33% = 0.33
- 30/100 = 0.3 = 30%
- 3% = 0.03
- 1/3 ≈ 0.333...
Match:
→ 0.3̇ (repeating), 33 1/3 %, and 1/3 are all equal!
✔ Color: 0.3̇, 33 1/3 %, 1/3
---
Grid 12:
Values:
- 1/20 = 0.05 = 5%
- 0.05 = 5%
- 1/5 = 0.2 = 20%
- 0.02 = 2%
- 20% = 0.2
- 0.2% = 0.002
- 5% = 0.05
- 0.5 = 50%
- 2/100 = 0.02 = 2%
Match:
→ 0.05, 5%, and 1/20 are all equal!
✔ Color: 0.05, 5%, 1/20
---
Now, compiling all answers:
Final Answer:
Grid 1: 0.75, 75%, 3/4
Grid 2: 0.2, 1/5, 20%
Grid 3: 0.25, 25%, 1/4
Grid 4: 0.7, 70%, 7/10
Grid 5: 0.5, 50%, 1/2
Grid 6: 0.15, 15%, 15/100
Grid 7: 0.4, 40%, 2/5
Grid 8: 0.6, 60%, 3/5
Grid 9: 0.01, 1%, 1/100
Grid 10: 0.8, 80%, 8/10
Grid 11: 0.3̇, 33 1/3 %, 1/3
Grid 12: 0.05, 5%, 1/20
Parent Tip: Review the logic above to help your child master the concept of printable worksheets decimals to fractions.
