2. Solve the simultaneous equations 2x + 3y = 19 3 3x 2y = 9 − 3. Solve the simultaneous equations 3 3x + 7y = 34 4x + 5y =28 4. Andrew and Belle book in at the Sleepwell Hotel. 4 Andrew stays for three nights and has breakfast on two mornings. His bill is £145. Belle stays for five nights has breakfast on three mornings. Her bill is £240. Find the cost of one breakfast. 5. A pattern is made using four identical rectangular tiles. 3 Find the total area of the pattern. Topic 4: Pythgoras’ theorem and Trigonometry Mark 1. This rectangular frame is made from 5 straight pieces of metal. 4 The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal in the frame. 2. ABC is a right-angled triangle. 3 AB = 8 cm, BC = 11 cm. Calculate the size of angle C. Give your answer correct to 1 d.p. 3. Work out the area of the triangle. 3 Give your answer correct to 1 decimal place.
2. Solve the simultaneous equations 2x + 3y = 19 3x − 2y = 9 3 3. Solve the simultaneous equations 3x + 7y = 34 4x + 5y =28 3 4. Andrew and Belle book in at the Sleepwell Hotel. Andrew stays for three nights and has breakfast on two mornings. His bill is £145. Belle stays for five nights has breakfast on three mornings. Her bill is £240. Find the cost of one breakfast. 4 5. A pattern is made using four identical rectangular tiles. Find the total area of the pattern. 3 Topic 4: Pythgoras’ theorem and Trigonometry Mark 1. This rectangular frame is made from 5 straight pieces of metal. The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal in the frame. 4 2. ABC is a right-angled triangle. AB = 8 cm, BC = 11 cm. Calculate the size of angle C. Give your answer correct to 1 d.p. 3 3. Work out the area of the triangle. Give your answer correct to 1 decimal place. 3
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