Multiplication Problems Printable 5th Grade - Free Printable
Educational worksheet: Multiplication Problems Printable 5th Grade. Download and print for classroom or home learning activities.
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Step-by-step solution for: Multiplication Problems Printable 5th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication Problems Printable 5th Grade
Let's solve each of these multiplication problems step by step and identify the "trick" problem that is *not* a multiplication problem.
---
This is a distance = speed × time problem.
$$
900 \text{ km/h} × 4 \text{ h} = 3600 \text{ km}
$$
✔ Multiplication problem.
---
First, find total milligrams:
$$
0.7 \text{ mg/artichoke} × 6 = 4.2 \text{ mg}
$$
Now convert to grams (since 1 gram = 1000 mg):
$$
4.2 \text{ mg} = \frac{4.2}{1000} = 0.0042 \text{ grams}
$$
But wait — the question asks for grams, so we need to convert units.
Still, the core operation is multiplication (0.7 × 6), then unit conversion.
✔ Multiplication problem (with unit conversion).
---
$$
0.8 \text{ pints} × 5 = 4 \text{ pints}
$$
✔ Multiplication problem.
---
This is a unit conversion fact:
- 1 minute = 60 seconds
- 1 hour = 60 minutes
- So: $ 60 × 60 = 3600 $ seconds
But here’s the key: This is not asking you to multiply quantities like "how many times something" — instead, it's asking for a known conversion.
While it *involves* multiplication, the problem itself doesn't require multiplying based on a rate or quantity; it's just recalling or calculating a standard conversion.
However, let's keep going and see if this is the trick one.
Wait — actually, this is still a multiplication (60 × 60), but perhaps it's the one that doesn’t involve real-world scaling?
Let’s check others.
---
$$
400 \text{ m} × 9 = 3600 \text{ m}
$$
✔ Multiplication problem.
---
$$
0.9 \text{ lb} × 6 = 5.4 \text{ lb}
$$
✔ Multiplication problem.
---
Here, we’re dividing:
$$
\frac{5 \text{ mm}}{100} = 0.05 \text{ mm per sheet}
$$
This is division, not multiplication!
So this is not a multiplication problem.
✘ This is the trick problem!
---
Break it down:
- Pens per packet: 8
- Packets per box: 20 → $ 8 × 20 = 160 $ pens per box
- 5 boxes: $ 160 × 5 = 800 $ pens
Or: $ 8 × 20 × 5 = 800 $
✔ Multiplication problem.
---
The trick problem that is not a multiplication problem is:
> 7) 100 sheets of paper are about 5mm thick. How thick is one sheet of paper?
Because this requires division to find the thickness of one sheet:
$$
5 \div 100 = 0.05 \text{ mm}
$$
All other problems involve multiplying quantities (like distance over time, total weight, total volume, etc.).
---
| Problem | Type | Multiplication? |
|--------|------|-----------------|
| 1 | Distance = speed × time | ✔ Yes |
| 2 | Total iron = 0.7 mg × 6 | ✔ Yes |
| 3 | Total liquid = 0.8 × 5 | ✔ Yes |
| 4 | Seconds in an hour = 60 × 60 | ✔ Yes (but known fact) |
| 5 | Total distance = 400 × 9 | ✔ Yes |
| 6 | Total weight = 0.9 × 6 | ✔ Yes |
| 7 | Thickness per sheet = 5 ÷ 100 | ✘ No! Division ← Trick problem |
| 8 | Total pens = 8 × 20 × 5 | ✔ Yes |
---
---
1) The cruising speed of a jumbo jet is about 900 km per hour. How far could it travel in 4 hours?
This is a distance = speed × time problem.
$$
900 \text{ km/h} × 4 \text{ h} = 3600 \text{ km}
$$
✔ Multiplication problem.
---
2) There are 0.7 mg of iron in an artichoke. How many grams of iron in 6 artichokes?
First, find total milligrams:
$$
0.7 \text{ mg/artichoke} × 6 = 4.2 \text{ mg}
$$
Now convert to grams (since 1 gram = 1000 mg):
$$
4.2 \text{ mg} = \frac{4.2}{1000} = 0.0042 \text{ grams}
$$
But wait — the question asks for grams, so we need to convert units.
Still, the core operation is multiplication (0.7 × 6), then unit conversion.
✔ Multiplication problem (with unit conversion).
---
3) A bottle holds 0.8 pints of liquid. How much would 5 bottles hold?
$$
0.8 \text{ pints} × 5 = 4 \text{ pints}
$$
✔ Multiplication problem.
---
4) How many seconds in an hour?
This is a unit conversion fact:
- 1 minute = 60 seconds
- 1 hour = 60 minutes
- So: $ 60 × 60 = 3600 $ seconds
But here’s the key: This is not asking you to multiply quantities like "how many times something" — instead, it's asking for a known conversion.
While it *involves* multiplication, the problem itself doesn't require multiplying based on a rate or quantity; it's just recalling or calculating a standard conversion.
However, let's keep going and see if this is the trick one.
Wait — actually, this is still a multiplication (60 × 60), but perhaps it's the one that doesn’t involve real-world scaling?
Let’s check others.
---
5) An athletics track is 400m long. If I ran 9 times round the track, how far would that be?
$$
400 \text{ m} × 9 = 3600 \text{ m}
$$
✔ Multiplication problem.
---
6) A football weighs 0.9 lb. How much would 6 footballs weigh?
$$
0.9 \text{ lb} × 6 = 5.4 \text{ lb}
$$
✔ Multiplication problem.
---
7) 100 sheets of paper are about 5mm thick. How thick is one sheet of paper?
Here, we’re dividing:
$$
\frac{5 \text{ mm}}{100} = 0.05 \text{ mm per sheet}
$$
This is division, not multiplication!
So this is not a multiplication problem.
✘ This is the trick problem!
---
8) A pack of pens contains 8 pens. A box contains 20 packets. How many pens in 5 boxes?
Break it down:
- Pens per packet: 8
- Packets per box: 20 → $ 8 × 20 = 160 $ pens per box
- 5 boxes: $ 160 × 5 = 800 $ pens
Or: $ 8 × 20 × 5 = 800 $
✔ Multiplication problem.
---
✔ Final Answer:
The trick problem that is not a multiplication problem is:
> 7) 100 sheets of paper are about 5mm thick. How thick is one sheet of paper?
Because this requires division to find the thickness of one sheet:
$$
5 \div 100 = 0.05 \text{ mm}
$$
All other problems involve multiplying quantities (like distance over time, total weight, total volume, etc.).
---
🟩 Summary:
| Problem | Type | Multiplication? |
|--------|------|-----------------|
| 1 | Distance = speed × time | ✔ Yes |
| 2 | Total iron = 0.7 mg × 6 | ✔ Yes |
| 3 | Total liquid = 0.8 × 5 | ✔ Yes |
| 4 | Seconds in an hour = 60 × 60 | ✔ Yes (but known fact) |
| 5 | Total distance = 400 × 9 | ✔ Yes |
| 6 | Total weight = 0.9 × 6 | ✔ Yes |
| 7 | Thickness per sheet = 5 ÷ 100 | ✘ No! Division ← Trick problem |
| 8 | Total pens = 8 × 20 × 5 | ✔ Yes |
---
✔ Final Answer: Problem #7 is the trick problem — it is not a multiplication problem.
Parent Tip: Review the logic above to help your child master the concept of 5th grade math word problems.