Each group starts with £50 Each round, you must decide which question you will answer (£10, £15 or £20) – the higher the stake, the harder the question.

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Presentation transcript:

Each group starts with £50 Each round, you must decide which question you will answer (£10, £15 or £20) – the higher the stake, the harder the question Then answer the question. Get it right, I add your stake to your pot. Get it wrong, you lose your stake.

Round 1 Pythagoras’ Theorem – the basics

1: Pythagoras ’ Theorem – the basics £10 Question What shape do you need to use Pythagoras’ theorem? £20 Question Draw the shape you need to use Pythagoras’ theorem and label each side with the correct letter. £15 Question State the formula used in Pythagoras’ theorem.

Round 2 Finding the Hypotenuse

2: Find the Hypotenuse £10 Question £15 Question £20 Question

Round 3 Finding a shorter side

3: Find the unknown side £10 Question £20 Question £15 Question

Round 4 Functional Pythagoras Questions

4: Functional Pythagoras £10 Question The foot of a 7m ladder is placed 4.2m away from the base of a wall. How far up the wall will the ladder reach? £15 Question A rectangular field is 36m long and 18m wide. How long is one of its diagonals? £20 Question A ship leaves a harbour and sails 20km North, then sails 30km East. What is the shortest distance back to the harbour? (Hint – draw a diagram)

Round 5 More difficult functional questions (£15 and £20 questions only)

5: Complex Functional Pythagoras £15 Question Find the distance between the two points. £20 Question Use Pythagoras’ theorem to determine if this is a right-angled triangle.

Round 6 Double Pythagoras (£15 or £20 questions only)

6: Double Pythagoras £15 Question £20 Question Find the length BH

Round 7 Trigonometry – the bsics

7: Trigonometry – the basics £10 Question Name the three trigonometric ratios. £20 Question Copy this triangle and label each side (hypotenuse, opposite and adjacent). £15 Question State the three formula used in trigonometry.

Round 8 Finding a missing side

8: Finding a missing side £10 Question Use cos to find the length of side x x £15 Question Use tan to find the length of side x £20 Question Find the length of side x

Round 9 Finding a missing angle

9: Finding a missing angle £10 Question Use tan to find angle x £20 Question Find angle x £15 Question Use sin to find angle x

Round 10 Functional Trigonometry

10: Functional Trigonometry £20 Question Calculate the angle GAC. £15 Question How high is the kite from the ground? £10 Question AB is a vertical pole joined to the ground by a 12m rope at point C. How high is the pole?