Dr J Frost (jfrost@tiffin.kingston.sch.uk) Head To Head: Indices Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 12th February 2015

vs Head to Head You are head to head with the person on your table. You must circle or underline your answer to finalise it. Once you finalise an answer, you can’t change it. The first person with the correct answer wins. If both people get it wrong or neither answers, just do a quick paper-scissors-rock to settle. Winner moves up (as per left). Loser moves down. vs Head Table 8 9 Rear Table 2 7 10 15 3 6 11 14 4 5 12 13

(Click above to reveal answer) Question 1 What is 𝑥 9 6 ? ? 𝑥 54 (Click above to reveal answer)

(Click above to reveal answer) Question 2 Evaluate 5 −1 ? 1 5 (Click above to reveal answer)

(Click above to reveal answer) Question 3 Simplify 𝑥 8 𝑥 −2 × 𝑥 4 ? 𝑥 14 (Click above to reveal answer)

(Click above to reveal answer) Question 4 Evaluate 𝑥 3 × 𝑥 2 × 𝑥 1 × 𝑥 0 × 𝑥 −1 × 𝑥 −2 × 𝑥 −3 ? 1 (Click above to reveal answer)

(Click above to reveal answer) Question 5 Simplify 𝑦 3 4 𝑦 3 × 𝑦 4 3 ? 𝑦 15 (Click above to reveal answer)

(Click above to reveal answer) Question 6 Simplify 3 𝑥 3 3 ? 27 𝑥 9 (Click above to reveal answer)

(Click above to reveal answer) Question 7 Evaluate 3 −2 + 3 −3 (leaving your answer as a fraction) ? 4 27 (Click above to reveal answer)

(Click above to reveal answer) Question 8 Solve 9 5 = 3 𝑥 ? 𝑥=10 (Click above to reveal answer)

(Click above to reveal answer) Question 9 Express 8 𝑥 × 4 𝑦 as a single power of 2. ? 2 3𝑥+2𝑦 (Click above to reveal answer)

(Click above to reveal answer) Question 10 Solve 25 𝑥+1 = 125 𝑥−1 ? 𝑥=5 (Click above to reveal answer)

(Click above to reveal answer) Question 11 N Solve 16 𝑥 8 𝑥+1 = 4 100 ? 2 4𝑥 2 3𝑥+3 = 2 200 4𝑥− 3𝑥+3 =200 𝑥−3=200 𝑥=203 (Click above to reveal answer)

(Click above to reveal answer) Question 12 N Solve 8 𝑥 4 2𝑥−1 = 2 3𝑥+1 16 2 ? 2 4𝑥 2 3𝑥+3 = 2 200 4𝑥− 3𝑥+3 =200 𝑥−3=200 𝑥=203 (Click above to reveal answer)

(Click above to reveal answer) Question 13 N If 𝑥= 2 𝑎 and 𝑦= 2 𝑏 what is 4 𝑎+𝑏 in terms of 𝑥 and 𝑦? ? 4 𝑎+𝑏 = 2 2 𝑎+𝑏 = 2 𝑎 2 2 𝑏 2 = 𝑥 2 𝑦 2 (Click above to reveal answer)