FREE~ 6th Grade Math Common Core WORD PROBLEM TASK CARDS {20 CARDS} - Free Printable

Let’s solve each problem one by one, step by step.

---

Problem 1: Evelyn’s yoga class

Evelyn has 50 participants.
60% must be present to avoid cancellation.
We need to find how many that is.

Step 1: Find 60% of 50.
To do this, multiply 50 × 0.60 (since 60% = 60/100 = 0.60)

50 × 0.60 = 30

So, at least 30 participants must be present.

✔ Check: 30 out of 50 is 30 ÷ 50 = 0.6 → 60%. Correct.

---

Problem 2: Fabian’s online business

Fabian expects sales to increase to 2½ times the present value.
We need to write this as a percent.

Step 1: Convert 2½ to a decimal.
2½ = 2 + 0.5 = 2.5

Step 2: To turn a number into a percent, multiply by 100.
2.5 × 100 = 250%

✔ So, the increase is 250% of the present value.

Note: The question says “increase its sales next year 2½ times their present value” — meaning the new sales will be 2.5 times the old ones, which is 250% of the original. That’s correct.

---

Problem 3: Rachel’s transportation budget

Rachel spends 12% on transportation.
Write this as a fraction and as a decimal.

Step 1: As a decimal → just divide by 100.
12% = 12 ÷ 100 = 0.12

Step 2: As a fraction → 12/100
Simplify: divide numerator and denominator by 4 → 3/25

✔ So, 12% = 3/25 as a fraction and 0.12 as a decimal.

---

Problem 4: Weight on Saturn

You weigh 92 pounds on Earth.
On Saturn, you’d weigh 85.5/6 pounds? Wait — that doesn’t make sense. Let me read again.

Actually, looking back: “If you weighed 92 pounds on Earth, you would weigh 85.5/6 pounds on Saturn.” — That can’t be right because 85.5 divided by 6 is about 14.25, which is way too light for Saturn (Saturn’s gravity is stronger than Earth’s).

Wait — maybe it’s a typo in the problem? Or perhaps it’s meant to say “you would weigh 85.5% of your Earth weight”? But no, the text says “85.5/6”.

Hold on — let me re-read carefully:

> If you weighed 92 pounds on Earth, you would weigh 85.5/6 pounds on Saturn.

That seems like a mistake. 85.5 divided by 6 is 14.25 — but that’s not realistic. Maybe it’s supposed to be “85.5%” or “85.5 times”? No, that also doesn’t fit.

Wait — perhaps it’s written as “85.5 over 6” meaning 85.5 ÷ 6? But that still gives 14.25.

Alternatively — maybe it’s “85.5/6” as in a mixed number? Like 85 and 5/6? That would make more sense.

Looking at the instruction: “Write the weight on Saturn as a mixed number in simplest form.”

Ah! Probably, the weight on Saturn is given as 85 and 5/6 pounds, not 85.5 divided by 6.

Because 85.5/6 would be unusual notation. More likely, it’s “85 5/6” — meaning eighty-five and five-sixths.

Let me check the original image description — since I can’t see the image, but based on common problems, it’s very likely that the weight on Saturn is 85 5/6 pounds.

But wait — the problem says: “you would weigh 85.5/6 pounds on Saturn” — that’s ambiguous.

Another possibility: maybe it’s “85.5% of 92”? But then why mention 6?

Wait — let’s think differently. Perhaps the problem meant: “you would weigh 85.5/6 times your Earth weight”? But that would be huge.

No — let’s look at the exact wording from the user input:

> If you weighed 92 pounds on Earth, you would weigh 85.5/6 pounds on Saturn.

This is confusing. But note: 85.5 / 6 = 14.25 — which is less than Earth weight — but Saturn’s gravity is about 1.065 times Earth’s, so you’d weigh slightly more, not less.

This suggests there might be a misprint. However, since the problem asks to write the weight on Saturn as a mixed number, and mentions “85.5/6”, perhaps it’s meant to be interpreted as 85 and 5/6.

In many fonts, “85 5/6” might look like “85.5/6” if the space is missing.

Given that, and since the problem says “write as a mixed number”, I’ll assume the weight on Saturn is 85 5/6 pounds.

But wait — that doesn’t depend on the 92 pounds? The problem says “if you weighed 92 pounds on Earth, you would weigh [something] on Saturn” — so the something should be calculated from 92.

Perhaps it’s “85.5% of 92”? Let’s try that.

85.5% of 92 = 0.855 × 92

Calculate: 0.855 × 90 = 76.95, 0.855 × 2 = 1.71, total = 78.66 — not a nice number.

Or maybe “85.5/6” is a ratio? Like gravity ratio?

Standard gravity on Saturn is about 10.44 m/s² vs Earth’s 9.8, so ratio ≈ 1.065.

But 85.5/6 = 14.25 — not matching.

Another idea: perhaps “85.5/6” is meant to be “85.5 divided by 6” but that’s 14.25, and then we’re to write 14.25 as a mixed number? But that ignores the 92 pounds.

The problem says: “If you weighed 92 pounds on Earth, you would weigh 85.5/6 pounds on Saturn.” — so it’s giving the Saturn weight directly as 85.5/6 pounds.

So, regardless of realism, let’s take it literally: weight on Saturn = 85.5 / 6 pounds.

Calculate that: 85.5 ÷ 6.

85.5 ÷ 6 = ?

6 × 14 = 84, remainder 1.5, so 14 + 1.5/6 = 14 + 1/4 = 14.25

As a mixed number: 14.25 = 14 and 1/4

But 1.5/6 = 15/60 = 1/4, yes.

So, 85.5 / 6 = 14.25 = 14 1/4

But is that what the problem intends? It seems odd, but mathematically, if we follow the text literally, that’s it.

Perhaps “85.5/6” is a typo and it’s supposed to be “85 5/6”, which is 85 + 5/6 = 515/6 ≈ 85.833, and then we leave it as mixed number 85 5/6.

But the problem says “write the weight on Saturn as a mixed number”, implying it’s already given in a form that needs conversion.

Given the ambiguity, but since the problem specifically says “85.5/6”, and in math problems sometimes decimals are used in fractions, I’ll go with calculating 85.5 divided by 6.

So:

85.5 ÷ 6

First, 85.5 = 171/2 (since 85.5 = 171/2)

Then (171/2) ÷ 6 = 171/(2×6) = 171/12

Simplify 171/12: divide numerator and denominator by 3 → 57/4

57 ÷ 4 = 14 with remainder 1, so 14 1/4

Yes.

So weight on Saturn is 14 1/4 pounds.

But again, this is physically unrealistic, but mathematically correct based on the given numbers.

Perhaps the "92 pounds" is a red herring? The problem says "you would weigh 85.5/6 pounds on Saturn" — so it's stating the weight directly, not calculating from 92.

So, ignoring the 92 for the calculation, since it's given as a fact.

So, final answer for problem 4: 14 1/4

But let's confirm the calculation:

85.5 ÷ 6:

6 * 14 = 84

85.5 - 84 = 1.5

1.5 / 6 = 0.25

So 14.25 = 14 1/4

Yes.

And 1/4 is already simplified.

So, mixed number is 14 1/4

---

Now, compiling all answers:

1. 30 participants
2. 250%
3. Fraction: 3/25, Decimal: 0.12
4. 14 1/4 pounds

But for problem 4, I'm still uneasy. Let me double-check the user's input:

> If you weighed 92 pounds on Earth, you would weigh 85.5/6 pounds on Saturn.

Perhaps "85.5/6" is meant to be "85.5%"? But then it would be 0.855 * 92 = let's calculate:

0.855 * 92 = 0.855 * 90 + 0.855 * 2 = 76.95 + 1.71 = 78.66

78.66 as a mixed number? 78 and 66/100 = 78 and 33/50 — but that's not related to 6.

Another possibility: "85.5/6" might be a fraction representing the gravity multiplier, so weight on Saturn = 92 * (85.5/6)

Let's try that.

85.5 / 6 = 14.25 as before.

92 * 14.25 = ?

92 * 14 = 1288

92 * 0.25 = 23

Total = 1288 + 23 = 1311 pounds — which is absurd for Saturn.

Not possible.

Perhaps it's 85.5% of 92, but then why "/6"?

I think the most reasonable interpretation, given that the problem asks to write it as a mixed number, and "85.5/6" is likely a miswriting of "85 5/6", I'll go with that.

In many handwritten notes, "85 5/6" can look like "85.5/6" if the space is small.

And 85 5/6 is already a mixed number, but the problem says "write as a mixed number in simplest form", implying it might need simplification, but 5/6 is already simple.

Perhaps it's given as an improper fraction? But it's written as "85.5/6".

Another idea: "85.5/6" means 85.5 divided by 6, and we need to express that result as a mixed number, which is 14 1/4, as calculated.

And the 92 pounds is just context, but the Saturn weight is given as 85.5/6 pounds, so we don't use 92 for calculation.

I think that's the intended interpretation, even if unrealistic.

So I'll stick with 14 1/4.

To be safe, let's see if there's a standard problem like this.

Upon second thought, in some contexts, "85.5/6" might mean 85.5 per 6, but that doesn't help.

Perhaps it's a typo and it's "85.5%" and "6" is for another part, but the sentence is clear.

I think for the sake of solving, I'll go with the literal calculation: 85.5 divided by 6 = 14.25 = 14 1/4.

So final answers:

1. 30
2. 250%
3. 3/25 and 0.12
4. 14 1/4

Now, for the response, since ExplainAnswer is false, etc., I only provide Final Answer.

But the instructions say: "Complete ALL reasoning and explanations BEFORE writing the Final Answer." and "If an option is false, completely omit that section."

Since all options are false, I should only have the Final Answer section, but I need to include the reasoning before it? The format says:

"Response format rules:
→ Always follow the structure below.
→ If an option is false, completely omit that section.
→ IMPORTANT: Complete ALL reasoning and explanations BEFORE writing the Final Answer."

But if ExplainAnswer is false, I omit the Explanation section, but I still need to do the reasoning internally and then put the final answer.

The structure implies that if ExplainAnswer is true, I write an Explanation section; otherwise, I don't. But the reasoning should be done before the Final Answer.

In this case, since no sections are to be included except Final Answer, I will write the Final Answer with all parts.

But to comply, I'll list the answers clearly.

Final Answer:
1. 30
2. 250%
3. \frac{3}{25} and 0.12
4. 14\frac{1}{4}

For problem 4, to be precise, since the problem might have intended 85 5/6, but based on the text, I'll go with 14 1/4.

Perhaps "85.5/6" is 85.5 over 6, and we simplify that fraction.

85.5 / 6 = 855/60 = 171/12 = 57/4 = 14 1/4, same thing.

So I think it's correct.

Final Answer:
1. 30
2. 250%
3. \frac{3}{25}, 0.12
4. 14\frac{1}{4}