Comparing Fractions, Decimals and Percents Tick or Trash - Free Printable

Let’s go through each question one by one. We need to check if Amber and Alfie ordered the numbers correctly in ascending order (smallest to largest). If their answer is correct, we say “Tick”. If it’s wrong, we say “Trash”.

We’ll convert all numbers to decimals so they’re easy to compare.

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Question 1:

Numbers: 0.2, 0.12, 0.202, 0.23
Correct order: 0.12, 0.2, 0.202, 0.23

- Amber: 0.2, 0.12, 0.23, 0.202 → ✘ Wrong (starts with 0.2, but 0.12 is smaller)
- Alfie: 0.12, 0.2, 0.202, 0.23 → ✔ Correct

→ Amber: Trash | Alfie: Tick

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Question 2:

Numbers: 3.2, 3.32, 3.201, 3.19
Convert to same decimal places:
3.200, 3.320, 3.201, 3.190
Order: 3.190, 3.200, 3.201, 3.320 → 3.19, 3.2, 3.201, 3.32

- Amber: 3.2, 3.19, 3.32, 3.201 → ✘ Starts with 3.2, but 3.19 is smaller
- Alfie: 3.19, 3.2, 3.201, 3.32 → ✔ Correct

→ Amber: Trash | Alfie: Tick

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Question 3:

Numbers: 0.23, 1/4, 22%, 0.2
Convert:
0.23, 0.25, 0.22, 0.2
Order: 0.2, 0.22, 0.23, 0.25 → 0.2, 22%, 0.23, 1/4

Amber: 20%, 22%, 23%, 25% → That’s 0.20, 0.22, 0.23, 0.25 → But original numbers were 0.23, 1/4, 22%, 0.2 — she changed them! She used 20% instead of 0.2? Wait — 0.2 = 20%, so maybe she converted correctly? Let’s see:

Original set: 0.23, 1/4=0.25, 22%=0.22, 0.2=20%

So values: 0.20, 0.22, 0.23, 0.25

Amber wrote: 20%, 22%, 23%, 25% → which is 0.20, 0.22, 0.23, 0.25 → ✔ Correct order!

But wait — did she use the exact same numbers? The question says “ordered the decimals given” — but here some are fractions/percents. Probably allowed to convert.

Alfie: 0.2, 22%, 0.23, 1/4 → 0.20, 0.22, 0.23, 0.25 → ✔ Also correct!

Wait — both got it right?

Check again:

Amber: 20%, 22%, 23%, 25% → that’s ascending → yes.

Alfie: 0.2, 22%, 0.23, 1/4 → also ascending → yes.

But note: 23% was not in the original list! Original had 0.23, not 23%. Oh no!

Original numbers: 0.23, 1/4, 22%, 0.2

Amber replaced 0.23 with 23%? That’s technically the same value, but is it allowed? The instruction says “ordered the decimals given” — but the input includes fractions and percents. Probably conversion is okay.

But let’s be strict: the numbers given are 0.23, 1/4, 22%, 0.2 — so we should keep them as is or convert consistently.

Actually, in math problems like this, converting to compare is standard.

So both Amber and Alfie have the correct numerical order.

Amber: 20% (which is 0.2), 22% (0.22), 23% (0.23), 25% (0.25) → matches 0.2, 0.22, 0.23, 0.25 → correct.

Alfie: 0.2, 22%, 0.23, 1/4 → same values in order → correct.

So both Tick?

Wait — look at Alfie’s answer: he has 0.2, 22%, 0.23, 1/4 — that’s fine.

But Amber wrote 23% — which wasn’t in the original list. Original had 0.23, not 23%. Is that a problem?

The question says: “Amber and Alfie have ordered the decimals given” — but the given items include fractions and percents. So probably, they can express them as they want as long as the order is correct.

I think both are correct.

But let me double-check the original problem statement: “ordered the decimals given in the questions below into ascending order.” Hmm — it says “decimals”, but the inputs are mixed. Probably means “numbers”.

In educational context, this is about comparing values regardless of form.

So I’ll say both are correct for Q3.

But wait — looking back at the image, in Q3, Amber wrote: 20%, 22%, 23%, 25% — but 23% and 25% were not in the original; original had 0.23 and 1/4. So she changed the representation. Is that acceptable?

Perhaps the task expects them to use the same forms? But that would be odd.

Looking at other questions, they mix forms in answers too.

For example, in Q4, Amber uses 9/20, 0.489, etc.

So probably, as long as the values are correct and ordered, it’s fine.

So for Q3:

Values: 0.2, 0.22, 0.23, 0.25

Amber: 20%=0.2, 22%=0.22, 23%=0.23, 25%=0.25 → correct order.

Alfie: 0.2, 22%=0.22, 0.23, 1/4=0.25 → correct order.

Both Tick.

But let me confirm with the next questions to see pattern.

Perhaps I should proceed and come back.

To save time, I'll assume conversion is allowed.

So Q3: Amber Tick, Alfie Tick.

But I recall in some worksheets, they might penalize changing form, but I doubt it.

Another way: perhaps "23%" is not the same as "0.23" in terms of the item, but numerically it is.

I think it's fine.

Let's move on and verify later if needed.

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Question 4:

Numbers: 49%, 9/20, 1/2, 0.489
Convert:
49% = 0.49
9/20 = 0.45
1/2 = 0.5
0.489 = 0.489
So values: 0.45, 0.489, 0.49, 0.5
Order: 9/20, 0.489, 49%, 1/2

Amber: 9/20, 0.489, 49%, 1/2 → ✔ Correct

Alfie: 9/20, 49%, 1/2, 0.489 → 0.45, 0.49, 0.5, 0.489 → last is 0.489 which is less than 0.49, so wrong order → ✘

→ Amber: Tick | Alfie: Trash

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Question 5:

Numbers: 80%, 3/2, 0.7, 1
Convert:
80% = 0.8
3/2 = 1.5
0.7 = 0.7
1 = 1.0
Order: 0.7, 0.8, 1.0, 1.5 → 0.7, 80%, 1, 3/2

Amber: 3/2, 1, 80%, 0.7 → 1.5, 1, 0.8, 0.7 → descending! ✘

Alfie: 0.7, 80%, 1, 3/2 → 0.7, 0.8, 1, 1.5 → ✔ Correct

→ Amber: Trash | Alfie: Tick

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Question 6:

Numbers: 2.2, 2.02, 9/5, 100%
Convert:
2.2 = 2.2
2.02 = 2.02
9/5 = 1.8
100% = 1.0
Order: 1.0, 1.8, 2.02, 2.2 → 100%, 9/5, 2.02, 2.2

Amber: 100%, 9/5, 2.02, 2.2 → ✔ Correct

Alfie: 100%, 9/5, 2.2, 2.02 → 1.0, 1.8, 2.2, 2.02 → but 2.02 < 2.2, so should be before → ✘

→ Amber: Tick | Alfie: Trash

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Question 7:

Numbers: 6%, 1/20, 15%, 0.19
Convert:
6% = 0.06
1/20 = 0.05
15% = 0.15
0.19 = 0.19
Order: 0.05, 0.06, 0.15, 0.19 → 1/20, 6%, 15%, 0.19

Amber: 1/20, 6%, 15%, 0.19 → ✔ Correct

Alfie: 6%, 15%, 0.19, 1/20 → 0.06, 0.15, 0.19, 0.05 → last is smallest, wrong → ✘

→ Amber: Tick | Alfie: Trash

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Question 8:

Numbers: 1.5%, 1.5, 5/2, 15%
Convert:
1.5% = 0.015
1.5 = 1.5
5/2 = 2.5
15% = 0.15
Order: 0.015, 0.15, 1.5, 2.5 → 1.5%, 15%, 1.5, 5/2

Amber: 1.5%, 15%, 1.5, 5/2 → ✔ Correct

Alfie: 1.5, 5/2, 1.5%, 15% → 1.5, 2.5, 0.015, 0.15 → starts large, then small, wrong → ✘

→ Amber: Tick | Alfie: Trash

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Question 9:

Numbers: 17%, 1/8, 1/5, 7/50
Convert:
17% = 0.17
1/8 = 0.125
1/5 = 0.2
7/50 = 0.14
Order: 0.125, 0.14, 0.17, 0.2 → 1/8, 7/50, 17%, 1/5

Amber: 1/5, 1/8, 7/50, 17% → 0.2, 0.125, 0.14, 0.17 → starts with largest, wrong → ✘

Alfie: 1/8, 7/50, 17%, 1/5 → 0.125, 0.14, 0.17, 0.2 → ✔ Correct

→ Amber: Trash | Alfie: Tick

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Question 10:

Numbers: 240%, 7/3, 3, 9/4
Convert:
240% = 2.4
7/3 ≈ 2.333...
3 = 3.0
9/4 = 2.25
Order: 2.25, 2.333..., 2.4, 3.0 → 9/4, 7/3, 240%, 3

Amber: 2.4, 2.33, 3, 2.25 → 2.4, 2.33, 3, 2.25 → not sorted; 2.25 should be first → ✘

Alfie: 9/4, 7/3, 240%, 3 → 2.25, ~2.333, 2.4, 3 → ✔ Correct

Note: Amber wrote 2.33 which is approximation of 7/3, but even so, her order is 2.4, 2.33, 3, 2.25 — which is not ascending.

Alfie has correct order.

→ Amber: Trash | Alfie: Tick

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Now back to Question 3.

In Q3, original numbers: 0.23, 1/4, 22%, 0.2

Values: 0.23, 0.25, 0.22, 0.20

Sorted: 0.20, 0.22, 0.23, 0.25

Amber wrote: 20%, 22%, 23%, 25% — which corresponds to 0.20, 0.22, 0.23, 0.25 — correct values and order.

But she used 23% and 25% instead of 0.23 and 1/4. Is that acceptable?

In the context, since the task is to order the numbers, and she represented them equivalently, it should be fine. Moreover, in other questions, they do similar things.

For example, in Q4, Amber used 49% which was given, but also 9/20 which was given, etc.

In Q3, 0.23 was given, and she wrote 23% — which is equal.

Similarly, 1/4 = 25%.

So I think it's acceptable.

Alfie used the original forms: 0.2, 22%, 0.23, 1/4 — which is also correct.

So both should be Tick for Q3.

But let me see if there's any trick.

Perhaps the worksheet expects them to keep the same representation, but that doesn't make sense because in Q1, they have decimals only, but in others mixed.

I think it's fine.

So final decisions:

Q1: Amber Trash, Alfie Tick
Q2: Amber Trash, Alfie Tick
Q3: Amber Tick, Alfie Tick
Q4: Amber Tick, Alfie Trash
Q5: Amber Trash, Alfie Tick
Q6: Amber Tick, Alfie Trash
Q7: Amber Tick, Alfie Trash
Q8: Amber Tick, Alfie Trash
Q9: Amber Trash, Alfie Tick
Q10: Amber Trash, Alfie Tick

Now, to present the answer.

The task is to "Tick or trash their answers" for each question.

So for each question, we need to say for Amber and Alfie whether it's Tick or Trash.

Probably, we list for each question.

Since the user didn't specify format, I'll provide a summary.

But in the response, I need to give the final answer clearly.

Perhaps list for each question.

Since it's a table, but in text, I can write:

Question 1: Amber - Trash, Alfie - Tick
Question 2: Amber - Trash, Alfie - Tick
Question 3: Amber - Tick, Alfie - Tick
Question 4: Amber - Tick, Alfie - Trash
Question 5: Amber - Trash, Alfie - Tick
Question 6: Amber - Tick, Alfie - Trash
Question 7: Amber - Tick, Alfie - Trash
Question 8: Amber - Tick, Alfie - Trash
Question 9: Amber - Trash, Alfie - Tick
Question 10: Amber - Trash, Alfie - Tick

I think that's clear.

But let me double-check Q3 once more.

In Q3, Amber wrote "23%" but the original had "0.23". Is 23% exactly equal to 0.23? Yes, because 23% = 23/100 = 0.23.

Similarly, 25% = 0.25 = 1/4.

So numerically identical.

And the order is correct.

Alfie kept the forms but still correct order.

So both correct.

In some strict interpretations, if the problem said "use the same representations", but it doesn't.

So I think Tick for both.

Final Answer:

For each question, indicate Tick (correct) or Trash (incorrect) for Amber and Alfie.

Question 1: Amber - Trash, Alfie - Tick
Question 2: Amber - Trash, Alfie - Tick
Question 3: Amber - Tick, Alfie - Tick
Question 4: Amber - Tick, Alfie - Trash
Question 5: Amber - Trash, Alfie - Tick
Question 6: Amber - Tick, Alfie - Trash
Question 7: Amber - Tick, Alfie - Trash
Question 8: Amber - Tick, Alfie - Trash
Question 9: Amber - Trash, Alfie - Tick
Question 10: Amber - Trash, Alfie - Tick