North Western Province Grade 10 Maths Term 3 Test 2020

First approximation of a square root using given squares

Answer: about 4.5

💡 What it's asking: A first approximation of a square root is the nearest value with one decimal place. Compare 20 with the squares of 4.4 and 4.5.

1. 14.4² = 19.36, which is 20 − 19.36 = 0.64 below 20.
2. 24.5² = 20.25, which is only 0.25 above 20.
3. 30.25 is the smaller gap, so 20 is closer to 4.5².
4. 4So √20 ≈ 4.5.

✅ 4.5 × 4.5 = 20.25, very close to 20, so 4.5 is a good estimate.

Whole task in man-days from work done on a fraction

Answer: 60 man days

💡 What it's asking: Work is measured in man-days (men × days). Find the work for the part done, then scale it up to the whole job.

1. 1Work for a quarter of the task = 5 men × 3 days = 15 man-days.
2. 2The whole task is 4 quarters.
3. 3Whole task = 4 × 15 = 60 man-days.

✅ A quarter of 60 is 15, which matches the 5 men working 3 days.

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