1. The School Fair Challenge
At the school fair, tickets cost $2.50 each. Sarah bought 8 tickets and spent $15 on food. She started with $45. After the fair, she wants to buy a book that costs $18.75. How much money will she have left after buying the book?

2. Pattern Investigation
Look at this number pattern: 3, 7, 15, 31, 63, ___
What are the next two numbers? Explain the rule you discovered.

3. The Garden Problem
Mrs Chen wants to fence a rectangular garden that is 12 metres long and 8 metres wide. Fence posts must be placed every 2 metres around the perimeter, including at each corner. How many fence posts does she need?

4. Number Detective
I'm thinking of a 3-digit number where: • The hundreds digit is twice the tens digit • The units digit is 3 more than the tens digit • The sum of all digits is 15
What is my number? Show your reasoning.

5. The Coin Collection
Jamie has 24 coins in total, made up of $1 and $2 coins only. The total value is $35. How many of each type of coin does Jamie have?

6. Time Zone Challenge
When it's 2:30 PM in Auckland, it's 6:30 AM in London (same day). If a video conference starts at 10:00 AM London time on Wednesday, what time and day will it be in Auckland?

7. The Pizza Party Dilemma
You're organising a pizza party for 28 people. Each pizza has 8 slices and costs $16. Each person will eat exactly 3 slices. You have a budget of $75. Can you afford enough pizza? If not, what solutions could you suggest?

8. Design Challenge
Create your own word problem involving fractions and measurement that has the answer 2¼ metres. Write the problem below, then solve it to check your work.

9. Bonus Challenge
A snail climbs up a 10-metre wall. Each day it climbs 3 metres up, but each night it slides 2 metres down. On which day will the snail reach the top of the wall? Explain your thinking.