Godfrey Stewart High School Department of Mathematics Six Weekly Group Work Assessment Group Members: ___________________________ Date: Thursday March 07, 2024 ___________________________ ___________________________ Question 1 Find the value of the following, simplifying the final answer in its lowest terms. (2 marks each) 2 4 6 5 a) + c) 8 12 × b) 7 4 7 − 5 6 18 7 49 d) ÷ 21 2 Question 2 Simply the following fractions a) 𝑥+1 6 + 𝑥−5 7 (3 marks each) b) 4 𝑥+6 − 7 𝑥−3 c) e) 3𝑝3 𝑥 5𝑝𝑞2 8𝑞𝑟 6𝑟 2 𝑠 3𝑎2 4𝑦 2 × × 2𝑦 2 6𝑎 d) f) 7𝑞2 𝑏 9𝑐𝑑 4𝑎2 7𝑏2 𝑐 ÷ × 14𝑎𝑏3 27𝑐 4 𝑑2 𝑏3 8𝑎 Question 3 (4 marks) In a class of 35 students, 10 take Spanish and 9 take geography What fraction of the children in the class take; a) Spanish Answers should be simplified where possible b) Geography Question 4 Factorize the following by rewriting each as a product of two factors. (2 marks each) a) 25𝑥 − 10 b) 64𝑎2 − 8𝑎 c) −49𝑝2 + 7𝑎 d) 3𝑎𝑥 + 2𝑏𝑥 − 3𝑎𝑦 − 2𝑏𝑦 e) 2𝑎 − 6𝑎𝑦 + 𝑏𝑥 − 𝑏𝑦6ay