Western Provincial Education Department, Colombo Educational Zone Grade 11 Maths Term 2 Test 2016

Annual rates at 5% of an assessed value

Answer: Rs. 1500

💡 What it's asking: Rates are a yearly tax: a percentage of the house's assessed annual value. Find 5% of 30 000.

1. 1Write 5% as 5/100.
2. 2Rates = 30 000 × 5/100.
3. 3= 300 × 5 = Rs. 1500.

✅ 10% of 30 000 is 3000, and 5% is half of that, 1500 ✓.

Area of a square from its diagonal length

Answer: 25 cm^2

💡 What it's asking: The diagonal splits the square into two right triangles. Pythagoras links the side a with the diagonal √50.

1. 1Let each side be a. In right triangle ABC: a² + a² = AC².
2. 2AC² = (√50)² = 50, so 2a² = 50.
3. 3a² = 25, and the square's area is a² = 25 cm².

✅ Side 5 cm: diagonal = √(25 + 25) = √50 ✓.

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