Programme 6 Worksheet 1: Programme Questions
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1 Programme 6 Worksheet 1: Programme Questions nswer the following questions while you watch the programme. 7. Write down another set of three numbers that form a Pythagorean triple. 1. What is the longest side of a right-angled triangle called? 8. In Tick or Trash, who do you think is in the boat in the cartoon diagram? 2. Write down the formula for Pythagoras Theorem given in the programme. 3. What is the height of the tower to which the rope slide is fixed? 4. Write down the symbol that is used to represent the square-root function. 9. What units of length are used in the Tick or Trash example? 10. On the wind farm, how long are the metal guy ropes attached to the mast? 5. Name another civilisation that probably knew about the special properties of right-angled triangles. 6. How many knots are there in the rope forming the (3,4,5) triangle? hannel Four Television orporation 2000
2 Programme 6 Worksheet 2: Tick or Trash Here are some questions and answers (by Students and ) on Pythagoras Theorem. Decide which answers to Tick (correct) and which to Trash (incorrect). Give reasons. Question 1 is an isosceles triangle. cm cm = = cm = 10cm alculate the perpendicular distance from to. 10 cm Student nswer Student nswer Perpendicular distance is the ecause is isosceles, height of the triangle, h. the perpendicular height meets the base at its mid-point, M. h Using Pythagoras Theorem, 2 = h = h h 2 = = 44 h = 44 = = 6.6cm (1 d.p.) M Triangle M is right-angled. Using Pythagoras Theorem, 2 = M 2 + M 2 2 = M = M M 2 = ? M 2 = 119 M = 119 = 10.9cm (1 d.p.) 5 M hannel Four Television orporation 2000 page 1 of 2
3 Programme 6 Worksheet 2: Tick or Trash Question cm a 7.2 cm alculate the length marked a in this right-angled triangle. Student nswer Student nswer Using Pythagoras Theorem, pplying Pythagoras Theorem, a 2 = b 2 + c 2 a 2 = = = 63.4 a = 8cm hypotenuse = 7.2cm. So = a a 2 = = = a = = = 6.35cm hannel Four Television orporation 2000 page 2 of 2
4 Programme 6 Worksheet 3: Exam Practice Questions (Edexcel) Question 1 National urriculum Reference: S2e November 1998 Paper 3,, and D are four points on the circumference of a circle. D is a square with sides 20 cm long. Work out the diameter of the circle. Give your answer correct to 3 significant figures. D (4 marks) [4] Question 2 National urriculum Reference: S2e November 1998 Paper 4 The diagram represents the frame for part of a building. D and D are equal in length. D and E are horizontal. (a) Write down the special mathematical name for the x o D 19.7 m triangle D. (1 mark) (b) Work out the area of triangle D. (2 marks) 11.3 m (c) alculate the length. Give your answer correct to 28.6 m E 3 significant figures. (3 marks) (d) alculate the size of the angle marked x o. Give your answer correct to 1 decimal place. (3 marks) [9] ll questions Edexcel hannel Four Television orporation 2000 page 1 of 3
5 Programme 6 Worksheet 3: Exam Practice Questions (Edexcel) Question 3 National urriculum Reference: S2e November 1997 Paper 4 alculate the length of. cm 18 cm Give your answer correct to 1 decimal place. [3] Question 4 National urriculum Reference: S2e June 1996 Paper 3 Here is a side view of a swimming pool. D is a horizontal straight line. H, G, F and DE are vertical lines. 2.5 m 5.3 m 7.2 m D (a) alculate the length of the line FG. Give your answer correct to 3 significant figures. 1.2 m 0.9 m (b) alculate the angle that the line GF makes with the horizontal. 2.1 m 2.1 m F E Give your answer correct to 1 decimal place. [6] H G ll questions Edexcel hannel Four Television orporation 2000 page 2 of 3
6 Programme 6 Worksheet 3: Exam Practice Questions (Edexcel) Question 5 National urriculum Reference: S2e November 1995 Paper 1 alculate the length of a diagonal of this rectangle. Give your answer in centimetres correct to one decimal place. cm 15 cm [3] Total = 25 ll questions Edexcel hannel Four Television orporation 2000 page 3 of 3
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