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Royal College, Colombo 07 Grade 11 Maths Term 1 Test 2022

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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.

Paper I Part A Q1 · 2 marks

Percentages
🔁 Asked in 20 of 20 term-test papers🔥 10 years in a row🎓 In 13 of 16 O/L papers

Import duty at a percentage on an item's value

Paper I Part A Q1: Import duty at a percentage on an item's value

Answer: Rs 1540

💡 What it's asking: Customs duty is a percentage of the item's value. Find 22% of Rs. 7000.

  1. 1Write 22% as 22/100.
  2. 2Multiply: 7000 × 22/100 = 70 × 22.
  3. 370 × 22 = Rs. 1540.

✅ 20% of 7000 is 1400, and 22% should be a bit more: 1540 fits.

සිංහලෙන් විසඳුම

රේගු බද්ද භාණ්ඩයේ වටිනාකමින් ප්‍රතිශතයකි. රු. 7000 න් 22% සොයන්න.

  1. 22% යනු 22/100 ලෙස ලියන්න.
  2. ගුණ කරන්න: 7000 × 22/100 = 70 × 22.
  3. එබැවින් 70 × 22 = රු. 1540.

Paper I Part A Q2 · 2 marks

Indices
🔁 Asked in 6 of 20 term-test papers🎓 In 5 of 16 O/L papers

Evaluate a negative power plus an integer

Paper I Part A Q2: Evaluate a negative power plus an integer

Answer: 28/9 = 3 1/9

💡 What it's asking: A negative index means 'one over'. Change 3⁻² to a fraction, then add 3.

  1. 1A negative power means take the reciprocal: 3⁻² = 1/3².
  2. 23² = 9, so 3⁻² = 1/9.
  3. 3Add 3: 1/9 + 3 = 3 1/9, which is 28/9.

✅ 3⁻² is a small positive number (not negative), so the answer is just a little more than 3. ✓

සිංහලෙන් විසඳුම

සෘණ දර්ශකයක් යනු 'එකක් බෙදීම' යන්නයි. 3⁻² භාගයක් ලෙස ලියා 3 එකතු කරන්න.

  1. සෘණ බලයක් යනු පරස්පරයයි: 3⁻² = 1/3².
  2. 3² = 9 නිසා 3⁻² = 1/9.
  3. 3 එකතු කරන්න: 1/9 + 3 = 3 1/9, එනම් 28/9.

Paper I Part A Q12 · 2 marks

Angles in a Circle · Angles Related to Straight Lines and Parallel Lines
🔁 Asked in 19 of 20 term-test papers🔥 10 years in a row🎓 In 15 of 16 O/L papers

Angle at chord intersection using centre angle and parallel chords

Paper I Part A Q12: Angle at chord intersection using centre angle and parallel chords🔒 Answer & steps: try it free in Gedara Sir→

Paper I Part B Q5 · 10 marks

Data Representation
🔁 Asked in 16 of 20 term-test papers🔥 10 years in a row🎓 In 7 of 16 O/L papers

Frequencies and sector angles from a pie chart; corrected data

Paper I Part B Q5: Frequencies and sector angles from a pie chart; corrected data🔒 Answer & steps: try it free in Gedara Sir→

Paper II Part A Q1 · 10 marks

Percentages · Percentages
🔁 Asked in 20 of 20 term-test papers🔥 10 years in a row🎓 In 13 of 16 O/L papers

Customs duty, VAT rate, marked price and profit percentage

Paper II Part A Q1: Customs duty, VAT rate, marked price and profit percentage🔒 Answer & steps: try it free in Gedara Sir→

Paper II Part A Q5 · 10 marks

Factors of Algebraic Expressions · Algebraic Fractions · Algebraic Fractions · Equations
🔁 Asked in 7 of 20 term-test papers

Factorise, simplify algebraic fractions, solve simultaneous equations

Paper II Part A Q5: Factorise, simplify algebraic fractions, solve simultaneous equations🔒 Answer & steps: try it free in Gedara Sir→

Paper II Part A Q6 · 10 marks

Perimeter · Surface Area and Volume · Liquid Measurements
🔁 Asked in 13 of 20 term-test papers🎓 In 13 of 16 O/L papers

Pool with semicircular end: wire length, wall area, water volume

Paper II Part A Q6: Pool with semicircular end: wire length, wall area, water volume🔒 Answer & steps: try it free in Gedara Sir→

Paper II Part B Q8 · 10 marks

Constructions · Constructions
🔁 Asked in 17 of 20 term-test papers🔥 9 years in a row🎓 In 13 of 16 O/L papers

Construct a triangle, perpendicular bisector, perpendicular, and a circle

Paper II Part B Q8: Construct a triangle, perpendicular bisector, perpendicular, and a circle🔒 Answer & steps: try it free in Gedara Sir→

Paper II Part B Q9 · 10 marks

Scale Diagrams · Pythagoras Relationship
🔁 Asked in 17 of 20 term-test papers🔥 10 years in a row🎓 In 5 of 16 O/L papers

Tower height from a cable; distance via angle of depression

Paper II Part B Q9: Tower height from a cable; distance via angle of depression🔒 Answer & steps: try it free in Gedara Sir→

Paper II Part B Q10 · 10 marks

Angles in a Circle · Angles Related to Straight Lines and Parallel Lines
🔁 Asked in 19 of 20 term-test papers🔥 10 years in a row🎓 In 15 of 16 O/L papers

Angles in same segment in two circles; prove lines parallel

Paper II Part B Q10: Angles in same segment in two circles; prove lines parallel🔒 Answer & steps: try it free in Gedara Sir→

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