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

2. 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

3. (Click above to reveal answer)
Question 1
What is 𝑥 ? ?
𝑥 54
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4. (Click above to reveal answer)
Question 2
Evaluate 5 −1 ?
1 5
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5. (Click above to reveal answer)
Question 3
Simplify 𝑥 8 𝑥 −2 × 𝑥 4 ?
𝑥 14
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6. (Click above to reveal answer)
Question 4
Evaluate 𝑥 3 × 𝑥 2 × 𝑥 1 × 𝑥 0 × 𝑥 −1 × 𝑥 −2 × 𝑥 −3 ? 1
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7. (Click above to reveal answer)
Question 5
Simplify 𝑦 𝑦 3 × 𝑦 ?
𝑦 15
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8. (Click above to reveal answer)
Question 6
Simplify 3 𝑥 3 3 ?
27 𝑥 9
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9. (Click above to reveal answer)
Question 7
Evaluate 3 −2 + 3 −3
(leaving your answer as a fraction) ?
4 27
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Question 8
Solve 9 5 = 3 𝑥 ?
𝑥=10
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11. (Click above to reveal answer)
Question 9
Express 8 𝑥 × 4 𝑦 as a single power of 2. ?
2 3𝑥+2𝑦
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Question 10
Solve 25 𝑥+1 = 125 𝑥−1 ?
𝑥=5
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13. (Click above to reveal answer)
Question 11
N Solve 16 𝑥 8 𝑥+1 = 4 100 ?
2 4𝑥 2 3𝑥+3 = 𝑥− 3𝑥+3 =200 𝑥−3=200 𝑥=203
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14. (Click above to reveal answer)
Question 12
N Solve 8 𝑥 4 2𝑥−1 = 2 3𝑥 ?
2 4𝑥 2 3𝑥+3 = 𝑥− 3𝑥+3 =200 𝑥−3=200 𝑥=203
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15. (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 = 𝑎+𝑏 = 2 𝑎 𝑏 = 𝑥 2 𝑦 2
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