North Western Province Grade 10 Maths Term 3 Test 2024

First approximation of a square root from four options

Answer: (iii) 7.7

💡 What it's asking: Find which two whole-number squares 60 lies between, then test the one-decimal options to see whose square is closest to 60.

1. 160 is between 49 = 7² and 64 = 8², so √60 is 7-point-something.
2. 2Try 7.7² = 59.29 and 7.8² = 60.84.
3. 360 is 0.71 above 59.29 but 0.84 below 60.84.
4. 460 is nearer 59.29, so the best choice is (iii) 7.7.

✅ 7.7 × 7.7 = 59.29, which is very close to 60. ✓

Subtract two algebraic fractions with unlike denominators

Answer: 1/(14x)

💡 What it's asking: Make the denominators the same, then subtract the tops.

1. 1The LCM of 2x and 7x is 14x.
2. 21/(2x) = 7/(14x) and 3/(7x) = 6/(14x).
3. 3Subtract the tops: (7 − 6)/(14x) = 1/(14x).

✅ Try x = 1: 1/2 − 3/7 = 7/14 − 6/14 = 1/14. ✓

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