📊 Part 1: Understanding Ratios

1. A kapa haka group has 15 boys and 20 girls. What is the ratio of boys to girls in simplest form?

3:4

15:20

4:3

20:15

2. A recipe for hangi vegetables uses potatoes and kumara in the ratio 2:3. If you use 8 potatoes, how many kumara do you need?

6 kumara

12 kumara

10 kumara

16 kumara

3. Which of these situations involve ratios? (Check all that apply)

Mixing paint colours in specific amounts

Converting NZ dollars to Australian dollars

Sharing prize money unequally

Finding the temperature in Celsius

4. A wheelchair ramp must have a slope ratio of 1:12 (rise:run). If the ramp needs to rise 50cm, how long must it be?

Length needed: _________ cm

🧮 Part 2: Solving Proportion Problems

5. Three friends share $240 in the ratio 2:3:5. Calculate each person's share:

First person gets: $__________

Second person gets: $__________

Third person gets: $__________

6. A car travels 120 kilometres in 1.5 hours. At this rate, how far will it travel in 4 hours?

Distance in 4 hours: _________ kilometres

7. Currency conversion: If $1 NZD = $0.92 AUD, how much Australian money would you get for $150 NZD?

Australian dollars: $__________

🎯 Part 3: Real-World Applications

8. A traditional Māori weaving pattern uses black and natural flax in the ratio 3:7. For a mat using 210 strands total, how many of each colour are needed?

Black strands: __________

Natural strands: __________

9. Extension Challenge: A school wants to maintain a teacher-to-student ratio of 1:25. If they have 18 teachers, what is the maximum number of students they can enroll? If enrollment increases to 500 students, how many more teachers do they need?

10. Reflection: Explain in your own words how ratios and proportions are useful in everyday life. Give one specific example from your own experience.