Western Province Grade 11 Maths Term 3 Test 2016

Nearest value of a square root from four options

Answer: 9.3 (option iv)

💡 What it's asking: Find which perfect squares 87 sits between, then square the choices to see which comes closest to 87.

1. 187 lies between 81 = 9² and 100 = 10², so √87 is between 9 and 10.
2. 287 is close to 81, so √87 is just a little over 9. That rules out 8.7.
3. 3Square the likely choice: 9.3² = 86.49, very close to 87.
4. 49² = 81 and 9.6² = 92.16 are further away, so the answer is 9.3.

✅ 86.49 is only 0.51 away from 87, closer than any other choice. ✓

Least common multiple of two algebraic terms

Answer: 2x^2y^2

💡 What it's asking: The LCM (lowest common multiple) must include every factor from both terms, each with its highest power.

1. 1Numbers: the LCM of 2 and 1 is 2.
2. 2x: the highest power that appears is x².
3. 3y: the highest power that appears is y².
4. 4Multiply them: LCM = 2x²y².

✅ Divide 2x²y² by each term; both divide exactly with nothing left over. ✓

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