Year 3 | Reading and Writing Numbers Worksheets | KS2 Number ... - Free Printable

Let’s solve the problem step by step.

We are told that Harvey has written down 4 digits: 6, 7, 2, and 4.
He uses all of them to make:

a) The largest 3-digit number he can
b) The smallest 3-digit number he can

Wait — he has 4 digits, but he’s making a 3-digit number. That means he must choose 3 out of the 4 digits, and use each chosen digit only once.

So we need to pick 3 digits from {6, 7, 2, 4} to form the largest possible 3-digit number, and then the smallest possible 3-digit number.

---

Part (a): Largest 3-digit number

To make the largest number, we want the biggest digits in the highest place values.

The hundreds place should be the biggest digit available → 7

Then tens place → next biggest → 6

Then units place → next biggest → 4

So: 764

Check: Is there any bigger combination?
Try 762 → smaller than 764
746 → smaller
726 → smaller
674 → smaller
... yes, 764 is the largest.

Now write it in words:
Seven hundred and sixty-four

---

Part (b): Smallest 3-digit number

To make the smallest number, we want the smallest digits in the highest place values, BUT — the first digit (hundreds place) cannot be zero. In this case, we don’t have zero, so no problem.

Smallest digit for hundreds place → 2

Next smallest for tens → 4

Next smallest for units → 6

So: 246

Check other combinations:
247 → bigger
264 → bigger
426 → bigger
... yes, 246 is the smallest.

Write it in words:
Two hundred and forty-six

---

✔ Final check:
Digits used: 6,7,2,4 — we picked 3 each time, which is correct.
Largest: 764 — correct
Smallest: 246 — correct

Final Answer:
a) 764, seven hundred and sixty-four
b) 246, two hundred and forty-six