Quadratic Simultaneous Topic Quiz

CAMBRIDGE IGCSE MATHS (0580)

Paper 2 (P2): Quadratic Simultaneous Topic Quiz

Question 1:
Solve the equations
\( x^2 + y^2 = 20 \)
\( x + y = 6 \)
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Question 2:
Solve the equations
\( xy = 24 \)
\( x = y - 2 \)
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Question 3:
Solve the simultaneous equations
\( 2x - y = 7 \)
\( xy = 15 \)
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Question 4:
Solve the equations
\( x^2 + y^2 = 17 \)
\( x + 4y = 0 \)
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Question 5:
Solve the equations
\( x + 2y = 3 \)
\( x^2 + 3xy = 10 \)
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Question 6:
Solve the equations
\( x^2 + y^2 = 45 \)
\( 5x - 3y = 21 \)
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Question 7:
Solve the equations
\( 2x + y = 11 \)
\( 2x^2 - y^2 = 23 \)
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Question 8:
Solve the equations
\( x^2 - y^2 = 7 \)
\( 2y = 2 + x \)
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Question 9:
Solve the equations
\( x^2 + y^2 = 25 \)
\( x + y = 7 \)
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Question 10:
Solve the equations
\( y = x^2 - 5 \)
\( y = 2x - 2 \)
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Question 11:
Solve the equations
\( x^2 + y^2 = 13 \)
\( x + y = 5 \)
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Question 12:
Solve the equations
\( xy = 36 \)
\( x = y + 6 \)
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Question 13:
Solve the simultaneous equations
\( 3x - y = 5 \)
\( xy = 20 \)
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Question 14:
Solve the equations
\( x^2 + y^2 = 25 \)
\( x + 3y = 4 \)
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Question 15:
Solve the equations
\( x + 4y = 5 \)
\( x^2 + y^2 = 17 \)
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Question 16:
Solve the equations
\( 3x + y = 12 \)
\( 2x^2 - y^2 = 29 \)
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Question 17:
Solve the equations
\( x^2 + y^2 = 14 \)
\( x + y = 4 \)
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Question 18:
Solve the equations
\( xy = 40 \)
\( x = y + 8 \)
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Question 19:
Solve the simultaneous equations
\( 4x - y = 9 \)
\( xy = 12 \)
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Question 20:
Solve the equations
\( x^2 + y^2 = 30 \)
\( x + 2y = 6 \)
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Question 21:
Solve the equations
\( 2x^2 + y^2 = 40 \)
\( x + y = 10 \)
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Question 22:
Solve the equations
\( x^2 + y^2 = 18 \)
\( x + y = 6 \)
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Question 23:
Solve the equations
\( xy = 50 \)
\( x = y + 10 \)
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Question 24:
Solve the equations
\( x^2 + y^2 = 20 \)
\( 2x + y = 7 \)
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Question 25:
Solve the equations
\( x^2 + y^2 = 22 \)
\( x + y = 6 \)
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