Factorising Quiz

CAMBRIDGE IGCSE MATHS (0580)

Paper 2 (P2): Factorising Topic Quiz

Question 1: Factorise completely: \(15p^2 + 24pt\).
Clear
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Question 2:
  1. Find the value of \(7p - 3q\) when \(p=8\) and \(q=-5\).
  2. Factorise completely: \(3uv + 9vw\).
Clear
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Question 3: Expand the brackets: \(y(3 - y^3)\).
Clear
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Question 4: Factorise completely: \(12xy - 3x^2\).
Clear
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Question 5: Factorise completely: \(ap + bp - 2a - 2b\).
Clear
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Question 6: Factorise completely: \(kp + 3k + mp + 3m\).
Clear
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Question 7: Factorise completely: \(ab + bc + ad + cd\).
Clear
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Question 8: Factorize completely:
  • \(a + b + at + bt\)
  • \(x^2 - 2x - 24\)
Clear
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Question 9: Factorize completely:
  • \(xy + 2y + 3x + 6\)
  • \(w + w^3\)
Clear
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Question 10:
  • Expand and simplify: \((a + b)^2\).
  • Find the value of \(a^2 + b^2\) when \(a + b = 6\) and \(ab = 7\).
Clear
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Question 11: Factorize completely:
  • \(ax + ay + bx + by\)
  • \(3(x - 1)^2 + (x - 1)\)
Clear
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Question 12: Factorize completely:
  • \(4p^2q - 6pq^2\)
  • \(u + 4t + ux + 4tx\)
Clear
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Question 13: Factorize completely:
  • \(15a^3 - 5ab\)
Clear
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Question 14: Factorize completely:
  • \(x(2x + 3) + 5(x - 7)\)
Clear
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Question 15: Factorize completely:
  • \(yp + yt + 2xp + 2xt\)
  • \(7(h + k)^2 - 21(h + k)\)
Clear
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Question 16: Factorize completely:
  • \(9x^2 - 6x\)
Clear
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Question 17: Factorize completely:
  • \(ax + ay + 3cx + 3cy\)
  • \(3a^2 - 12b^2\)
Clear
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Question 18: Factorize:
  • \(9w^2 - 100\)
  • \(mp + np - 6mq - 6nq\)
Clear
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Question 19: Factorize completely:
  • \(2a + 4 + ap + 2p\)
  • \(162 - 8t^2\)
Clear
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Question 20: Simplify:
  • \(\frac{x^3y + 2xy^3}{x^2y^2}\)
Clear
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Question 21: Factorize completely:
  • \(4p^2 - 9\)
  • \(2ax - 4bx - ay + 2by\)
Clear
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Question 22: Simplify:
  • \(\frac{42np - 7n}{12pt - 2t + 18mp - 3m}\)
Clear
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Question 23: Factorize completely:
  • \(9t^2 - u^2\)
  • \(2c - 4d - pc + 2pd\)
Clear
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Question 24: Simplify:
  • \(\frac{4(x-6)^2}{x-6}\)
  • Expand and simplify: \((x+4)^2 + 5(3x+2)\)
Clear
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Question 25:
  • Factorize completely: \(12x^2 + 15xy - 9x\)
  • Expand and simplify: \((5-n)(3+n)\)
  • Expand and simplify: \(6(2y-3) - 5(y+1)\)
Clear
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Question 26:
  • Find the value of \(\left(\frac{1}{81}\right)^{-\frac{3}{4}}\)
  • Simplify: \(\sqrt[3]{27t^{27}}\)
Clear
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Question 27:
  • Factorize completely: \(px + py - x - y\)
  • Factorize completely: \(2t^2 - 98m^2\)
Clear
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