Math worksheet with multiplication problems and number theory questions.

Let's solve each question step by step.

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1. Tick (✓) the correct answer:

#### a. Which of the following is not equal to 1500?

We evaluate each option:

- i. $3 \times 500 = 1500$ ✔
- ii. $300 \times 5 = 1500$ ✔
- iii. $30 \times 50 = 1500$ ✔
- iv. $300 \times 5 = 1500$ ✔

Wait — all seem to be 1500?

But let's double-check:

- i. $3 \times 500 = 1500$ → ✔️
- ii. $300 \times 5 = 1500$ → ✔️
- iii. $30 \times 50 = 1500$ → ✔️
- iv. $300 \times 5 = 1500$ → ✔️

All are equal to 1500? But the question asks which is not equal.

Wait — look again: ii and iv are both 300 × 5, so they're identical.

But perhaps there's a typo in the options, or maybe one of them is different?

Wait — let’s recheck iii: $30 \times 50$

$30 \times 50 = 1500$ → yes.

So all four are 1500?

But that can't be — one must be wrong.

Wait — is it possible that ii is written as 300×50? Let's check the original:

> ii. 300×50 → this would be $300 \times 50 = 15,000$, which is not 1500!

Ah! That's likely a formatting issue.

Looking back at the original:

> a.
> i. 3×500
> ii. 300×50
> iii. 30×50
> iv. 300×5

So:

- i. $3 \times 500 = 1500$
- ii. $300 \times 50 = 15,000$ ✘
- iii. $30 \times 50 = 1500$
- iv. $300 \times 5 = 1500$

✔ So ii. 300×50 = 15,000 ≠ 1500

Answer: ii. 300×50 is not equal to 1500.

✔️ Correct answer: ii

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#### b. The product of all odd numbers between 3 and 8 is

Odd numbers between 3 and 8:

- Numbers from 3 to 8: 3, 4, 5, 6, 7, 8
- Odd ones: 3, 5, 7

Now compute product: $3 \times 5 \times 7 = 15 \times 7 = 105$

So product = 105

Options:

- i. 105 ✔
- ii. 35
- iii. 12
- iv. 28

✔️ Answer: i. 105

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#### c. $636 \times 100 = 636 \times 4 \times$ ________

We know:

$636 \times 100 = 63,600$

Also: $636 \times 4 = 2544$

Now we want: $636 \times 4 \times x = 63,600$

So: $2544 \times x = 63,600$

Then: $x = \frac{63,600}{2544}$

Let’s divide:

First simplify:

Divide numerator and denominator by 24:

But easier: try dividing:

$2544 \times 25 = ?$

$2544 \times 20 = 50,880$
$2544 \times 5 = 12,720$
Total = $50,880 + 12,720 = 63,600$

Yes! So $x = 25$

Alternatively:

Since $100 = 4 \times 25$, then:

$636 \times 100 = 636 \times 4 \times 25$

So missing number is 25

✔️ Answer: iii. 25

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2. Fill in the blanks

#### a. Multiplicand × Multiplier = __________

→ This is Product

✔️ Answer: Product

#### b. Multiplication is repeated __________

→ Multiplication is repeated addition

✔️ Answer: addition

#### c. On multiplying a number by 0 we always get __________

→ Any number × 0 = 0

✔️ Answer: 0

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3. Fill in the box

We have:

```
4 □ 8
× 8
-------
3 9 8 4
```

We need to find the missing digit (□) in the hundreds place.

Let’s denote the number as: $4\boxed{x}8$, where $x$ is the digit we need to find.

So the number is: $400 + 10x + 8 = 408 + 10x$

Multiply by 8:

$$
(408 + 10x) \times 8 = 3984
$$

Compute:

Left side: $408 \times 8 = 3264$

$10x \times 8 = 80x$

So total: $3264 + 80x = 3984$

Now solve:

$$
80x = 3984 - 3264 = 720
$$

$$
x = \frac{720}{80} = 9
$$

So the missing digit is 9

Check:

Number: $498$

$498 \times 8 = ?$

Break down:

$500 \times 8 = 4000$
$2 \times 8 = 16$
So $498 \times 8 = 4000 - 16 = 3984$ ✔

Perfect.

✔️ Answer: 9

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✔ Final Answers:

#### 1.
a. ii. 300×50
b. i. 105
c. iii. 25

#### 2.
a. Product
b. addition
c. 0

#### 3.
Missing digit: 9

So the completed multiplication:

```
4 9 8
× 8
-------
3 9 8 4
```

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