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Year 11 Problem Types

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Year 11 Problem Types worksheet preview

Year 11 Problem Types

Mathematical problem solving illustration

📖 Part 1: Mixed Problems

Identify the type of problem (word, equation, or geometry) before solving.

1. A rugby team is fundraising for new uniforms. They sell meat pies for $4.50 each and sausage rolls for $3.20 each. On Saturday, they sold 85 meat pies and 120 sausage rolls. How much money did they raise in total?
2. Solve for x: 3x - 7 = 2x + 11
3. A rectangular garden has a length of 12 metres and a width of 8 metres. If a path 1.5 metres wide is built around the entire garden, what is the area of the path only?
4. Sarah is planning a road trip from Auckland to Wellington (650 kilometres). Her car uses 8 litres of petrol per 100 kilometres. If petrol costs $2.40 per litre, how much will she spend on petrol for the one-way trip?
5. Solve for y: 2(y + 4) = 3y - 5
6. A cylindrical water tank has a radius of 2.5 metres and a height of 4 metres. Calculate the volume of water it can hold. (Use π ≈ 3.14)
7. A swimming pool is being filled with water. The pool holds 45,000 litres when full. If the pump fills the pool at a rate of 150 litres per minute, how many hours will it take to fill the pool completely?
8. Solve for x using factorisation: x² - 5x - 24 = 0
9. In triangle ABC, angle A = 65°, angle B = 48°. Find angle C and determine what type of triangle this is.

🤔 Reflection

10. Which type of problem did you find most challenging and why?
11. What strategy helped you most when solving these problems?

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