Southern Province Grade 11 Maths Term 3 Test 2024

Price including VAT at 6 percent

Answer: Rs 2120

💡 What it's asking: VAT is a tax added on top of the price. Find 6% of Rs. 2000 and add it on.

1. 1VAT = 6% of 2000 = 2000 × 6/100 = Rs. 120.
2. 2Add it to the price: 2000 + 120 = Rs. 2120.
3. 3Shortcut: price with 6% VAT = 106% of the price = 2000 × 106/100 = 2120.

✅ 1% of 2000 is 20, so 6% is 120. The new price should be a little above 2000: Rs. 2120 fits.

Apex angle of isosceles triangle from exterior angle

Answer: 40 degrees

💡 What it's asking: Use the exterior angle to get an inside angle, then use the fact that the triangle is isosceles (two equal sides, so two equal angles).

1. 1The exterior angle at C is 110°, so angle ACB = 180 − 110 = 70° (angles on a straight line).
2. 2The marks show AB = AC, so the angles opposite them are equal: ABC = ACB = 70°.
3. 3Angles in a triangle add to 180°: BAC = 180 − 70 − 70 = 40°.

✅ 70 + 70 + 40 = 180. Correct.

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