Excel Math: Math Multiples & Division Worksheet - Free Printable

Let's go through each problem on the worksheet step by step and solve them.

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Lesson 117: Recognizing Multiples

#### Definition Reminder:
A *multiple* is the result of multiplying two numbers.
Examples:
- Multiples of 2: 2, 4, 6, 8, 10, ...
- Multiples of 5: 5, 10, 15, 20, 25, ...

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Problem 1: Which set shows multiples of 4?

We need to find which set contains only numbers divisible by 4.

Check each option:

- (6, 10, 14, 18): None divisible by 4 → ✘
- (8, 12, 16, 20): All divisible by 4 → ✔
- (8, 10, 12, 14): 10 and 14 not divisible by 4 → ✘
- (4, 6, 10, 14): 6, 10, 14 not divisible by 4 → ✘

✔ Answer: (8, 12, 16, 20)

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Problem 2: Which set shows multiples of 3?

Check which set has all numbers divisible by 3.

- (6, 12, 14, 17): 14 and 17 not divisible by 3 → ✘
- (7, 10, 13, 16): None divisible by 3 → ✘
- (9, 12, 15, 18): All divisible by 3 → ✔
- (3, 11, 14, 18): 11 and 14 not divisible by 3 → ✘

✔ Answer: (9, 12, 15, 18)

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Problem 3: Jack can buy blank CDs in boxes of five. Which set shows possible numbers of CDs he might buy?

He buys in groups of 5 → total must be a multiple of 5.

Check options:

- (5, 10, 14, 19): 14, 19 not multiples of 5 → ✘
- (7, 12, 17, 22): None are multiples of 5 → ✘
- (15, 25, 35, 45): All divisible by 5 → ✔
- (10, 16, 20, 30): 16 not divisible by 5 → ✘

✔ Answer: (15, 25, 35, 45)

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Problem 4: Pens are sold six to a package. Which set shows possible numbers of pens that could be bought?

Must be multiples of 6.

- (12, 18, 24, 36): All divisible by 6 → ✔
- (6, 12, 15, 18): 15 not divisible by 6 → ✘
- (15, 21, 27, 33): All odd → not divisible by 6 → ✘
- (4, 10, 16, 22): Even but not divisible by 6 → ✘

✔ Answer: (12, 18, 24, 36)

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Problem 5: For each multiplication fact, write the other multiplication fact and two division facts

#### 5) 11 × 6 = ?

- 11 × 6 = 66
- Other multiplication: 6 × 11 = 66
- Division facts:
- 66 ÷ 11 = 6
- 66 ÷ 6 = 11

Answer:
```
11 × 6 = 66
6 × 11 = 66
66 ÷ 11 = 6
66 ÷ 6 = 11
```

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#### 6) 7 × 4 = ?

- 7 × 4 = 28
- Other multiplication: 4 × 7 = 28
- Division facts:
- 28 ÷ 7 = 4
- 28 ÷ 4 = 7

Answer:
```
7 × 4 = 28
4 × 7 = 28
28 ÷ 7 = 4
28 ÷ 4 = 7
```

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#### 7) 3 × 9 = ?

- 3 × 9 = 27
- Other multiplication: 9 × 3 = 27
- Division facts:
- 27 ÷ 3 = 9
- 27 ÷ 9 = 3

Answer:
```
3 × 9 = 27
9 × 3 = 27
27 ÷ 3 = 9
27 ÷ 9 = 3
```

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#### 8) 12 × 4 = ?

- 12 × 4 = 48
- Other multiplication: 4 × 12 = 48
- Division facts:
- 48 ÷ 12 = 4
- 48 ÷ 4 = 12

Answer:
```
12 × 4 = 48
4 × 12 = 48
48 ÷ 12 = 4
48 ÷ 4 = 12
```

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Homework Section

#### A) Multiplication Problems

1. 729 × 3
```
729
× 3
------
2187
```

2. 971 × 5
```
971
× 5
------
4855
```

3. 7,042 × 1
```
7,042
× 1
-------
7,042
```

4. 10 r4 → This seems like a division remainder. But no operation given. Possibly typo or missing context. Let's skip for now.

Wait — looking at layout, it says "10 r4" under B, so maybe it's part of B.

Let’s proceed.

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#### B) 10 r4 → What does this mean?

Possibly a division with remainder:
Example: 2 | 9 → 9 ÷ 2 = 4 R1 → but here it says 10 r4

Wait, the layout shows:

```
2 | 9 3 | 14 8 | 17
```

So these are divisions:

- 9 ÷ 2 = 4 R1 → but written as 10 r4? That doesn’t match.

Wait — actually, "10 r4" is labeled as B, and below it is:

```
2 | 9 3 | 14 8 | 17
```

But "10 r4" may be a separate problem.

Alternatively, perhaps it's asking: What number divided by what gives quotient 10 and remainder 4?

But it's ambiguous.

Wait — perhaps it's just a label: B 10 r4 meaning "problem B: 10 remainder 4"

But then the three divisions are listed below.

Let’s interpret the three divisions:

- 9 ÷ 2 = 4 R1 → 2×4=8, 9−8=1 → R1
- 14 ÷ 3 = 4 R2 → 3×4=12, 14−12=2 → R2
- 17 ÷ 8 = 2 R1 → 8×2=16, 17−16=1 → R1

But B says "10 r4" — possibly unrelated?

Wait — maybe "10 r4" is the answer to one of these?

No — none of them give 10 r4.

Perhaps "10 r4" is a problem: Find a number such that when divided by something, quotient is 10, remainder 4.

But no divisor is given.

Alternatively, maybe "10 r4" is the answer to a different question.

Wait — let's look at the structure again.

It says:

> B 10 r4
>
> 2 | 9 3 | 14 8 | 17

Ah! Perhaps "10 r4" is the answer to one of these? But that doesn't make sense.

Wait — maybe "10 r4" is a hint for C, but no.

Alternatively, perhaps "10 r4" means: Divide 10 by something and get remainder 4? But 10 ÷ x = q R4 → remainder must be less than divisor.

So if remainder is 4, divisor > 4.

Try: 10 ÷ 6 = 1 R4 → yes.

But we don't have enough info.

Maybe it's a typo.

Wait — perhaps "10 r4" is meant to be the quotient and remainder for one of the problems.

But the three divisions are:

- 9 ÷ 2 → 4 R1
- 14 ÷ 3 → 4 R2
- 17 ÷ 8 → 2 R1

None give 10 R4.

So likely, "10 r4" is a separate problem.

But no operation is shown.

Possibly it's "What is 10 r4?" — but that's incomplete.

Alternatively, maybe it's a division problem: Divide 44 by 4 → 11 R0? No.

Wait — perhaps "10 r4" is the answer to a division problem.

But without context, we can't solve it.

Let’s move on.

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#### C) Round to the nearest hundred

- 360 → 400 (since 360 is closer to 400 than 300)
- 284 → 300
- 137 → 100

Answers:
- 360 → 400
- 284 → 300
- 137 → 100

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#### D) Select the number from the given set to fill in the blank.

Set: {2434; 2343; 2344; 2443}

Inequality:
2,344 > ________

We need a number less than 2,344

Look at the choices:

- 2434 → 2,434 → greater than 2,344 → ✘
- 2343 → 2,343 → less than 2,344 → ✔
- 2344 → equal → not greater → ✘
- 2443 → 2,443 → greater → ✘

So only 2343 works.

✔ Answer: 2343

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#### E) Karen went hiking for eight hours. She spent the same amount of time on each of four different trails. How much time did she spend on each trail?

Total time: 8 hours
Number of trails: 4
Time per trail = 8 ÷ 4 = 2 hours

✔ Answer: 2 hours

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#### F) Randy bought a seven-foot piece of rope and cut off four eight-inch pieces. How long is the piece he has left?

Convert everything to inches.

- 1 foot = 12 inches
- 7 feet = 7 × 12 = 84 inches
- Each piece: 8 inches
- Four pieces: 4 × 8 = 32 inches
- Remaining: 84 − 32 = 52 inches

Now convert back to feet and inches:

- 52 ÷ 12 = 4 feet with remainder 4 inches (since 12×4=48, 52−48=4)

✔ Answer: 4 feet 4 inches

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#### G) In his last basketball game, Jared made fourteen 2-point shots. How many points came from 2-point shots?

Each 2-point shot = 2 points
14 shots × 2 = 28 points

✔ Answer: 28 points

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#### H) Every day Shauna teaches a class for three hours in the morning and four hours in the evening. How many hours does she teach over five days?

Daily teaching: 3 + 4 = 7 hours
Over 5 days: 7 × 5 = 35 hours

✔ Answer: 35 hours

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Final Answers Summary

#### Multiple Choice:
1. (8, 12, 16, 20)
2. (9, 12, 15, 18)
3. (15, 25, 35, 45)
4. (12, 18, 24, 36)

#### Multiplication/Division Facts:
5.
- 11 × 6 = 66
- 6 × 11 = 66
- 66 ÷ 11 = 6
- 66 ÷ 6 = 11

6.
- 7 × 4 = 28
- 4 × 7 = 28
- 28 ÷ 7 = 4
- 28 ÷ 4 = 7

7.
- 3 × 9 = 27
- 9 × 3 = 27
- 27 ÷ 3 = 9
- 27 ÷ 9 = 3

8.
- 12 × 4 = 48
- 4 × 12 = 48
- 48 ÷ 12 = 4
- 48 ÷ 4 = 12

#### Homework:

A)
- 729 × 3 = 2,187
- 971 × 5 = 4,855
- 7,042 × 1 = 7,042

B) (Unclear due to ambiguity)
Possibly: 10 r4 → maybe 44 ÷ 4 = 10 R4? But not clear.
Or perhaps it's a misprint. We'll skip unless clarified.

C) Round to nearest hundred:
- 360 → 400
- 284 → 300
- 137 → 100

D) 2,344 > 2,343

E) Karen: 2 hours per trail

F) Rope left: 4 feet 4 inches

G) Points: 28 points

H) Shauna: 35 hours

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Let me know if you'd like this formatted as a printable answer sheet!