All 42 questions, with what each one tests. Try any of them free in Gedara Sir to check your answer, with step-by-step working.
VAT on an electricity bill and total bill

i Rs 450 ii Rs 3450
💡 What it's asking: VAT (value added tax) is a percentage added on top of the bill. Find 15% of Rs. 3000, then add it on.
- (i) VAT = 15% of 3000 = 3000 × 15/100.
- 30 × 15 = Rs. 450.
- (ii) Total bill = 3000 + 450 = Rs. 3450.
✅ 3000 × 1.15 = 3450, the same total in one step.
සිංහලෙන් විසඳුම
වැට් (එකතු කළ අගය මත බද්ද) බිලට උඩින් එකතු වන ප්රතිශතයකි. රු. 3000 න් 15% සොයා එය එකතු කරන්න.
- (i) වැට් = 3000 න් 15% = 3000 × 15/100.
- 30 × 15 = රු. 450.
- (ii) මුළු බිල = 3000 + 450 = රු. 3450.
Two angles from triangle angle sum and exterior angle

x = 100, y = 30 degrees
💡 What it's asking: Use two facts: angles in a triangle add to 180°, and angles on a straight line add to 180°. Find the missing triangle angle first, then x, then y.
- (i) In triangle ABC: angle ACB = 180 − 55 − 45 = 80°.
- x sits next to it on the straight line BD, so x = 180 − 80 = 100°.
- (ii) At D, the inside angle of triangle ACD = 180 − 130 = 50°.
- In triangle ACD: y = 180 − 100 − 50 = 30°.
✅ Triangle ACD: 100 + 50 + 30 = 180°.
සිංහලෙන් විසඳුම
කරුණු දෙකක් යොදන්න: ත්රිකෝණයක කෝණ එකතුව 180°, සරල රේඛාවක කෝණ එකතුව 180°. මුලින් ත්රිකෝණයේ නැති කෝණය, ඉන්පසු x, අවසානයේ y සොයන්න.
- (i) ABC ත්රිකෝණයේ: ACB කෝණය = 180 − 55 − 45 = 80°.
- x, BD සරල රේඛාව මත එයට යාබදයි; x = 180 − 80 = 100°.
- (ii) D හි ACD ත්රිකෝණය තුළ කෝණය = 180 − 130 = 50°.
- ACD ත්රිකෝණයේ: y = 180 − 100 − 50 = 30°.
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