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.
Simple interest for three months at 5% per month
Rs. 750
💡 What it's asking: Simple interest at a monthly rate: the interest is the same every month, so find one month's interest and multiply by 3.
- One month's interest = 5% of Rs. 5000 = 5000 × 5/100 = Rs. 250.
- The loan lasts 3 months, with the same interest each month.
- Total interest = 3 × 250 = Rs. 750.
✅ 5% a month for 3 months is 15% in all, and 15% of 5000 = 750.
සිංහලෙන් විසඳුම
මාසික අනුපාතයක සරල පොලියේදී සෑම මසකම පොලිය සමානයි; මාසයක පොලිය සොයා 3 න් ගුණ කරන්න.
- මාසයක පොලිය = රු. 5000 න් 5% = 5000 × 5/100 = රු. 250.
- ණය මාස 3 කටයි; සෑම මසකම පොලිය සමානයි.
- මුළු පොලිය = 3 × 250 = රු. 750.
Divide two algebraic fractions
x^2/10
💡 What it's asking: Dividing by a fraction is the same as multiplying by its reciprocal (the fraction turned upside down). Then cancel common factors.
- Turn the second fraction upside down: 3ax/(5y) × xy/(6a).
- Multiply tops and bottoms: 3ax²y/(30ay).
- Cancel 3 with 30 (leaves 10), a with a, and y with y.
- Answer: x²/10.
✅ Try a = 1, x = 2, y = 1: (6/5) ÷ (6/2) = 6/5 × 2/6 = 2/5, and x²/10 = 4/10 = 2/5. It matches.
සිංහලෙන් විසඳුම
භාගයකින් බෙදීම එහි පරස්පරයෙන් (උඩු යටිකුරු කළ භාගයෙන්) ගුණ කිරීමට සමානයි. ඉන්පසු පොදු සාධක කපා හරින්න.
- දෙවන භාගය උඩු යටිකුරු කරන්න: 3ax/(5y) × xy/(6a).
- ලව හා හර ගුණ කරන්න: 3ax²y/(30ay).
- 3 සහ 30 (10 ඉතිරි), a සහ a, y සහ y කපා හරින්න.
- පිළිතුර: x²/10.
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