SIMULTANEOUS EQUATIONS (QUADRATIC)[ESTIMATED TIME: 70 minutes] GCSE TOPIC PRACTICE
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1. [5 marks]
Note that these questions are sorted in date order (most recent questions first).
November 2006, 3H Q18: 5 Marks
Questions compiled by @Maths4Everyone
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2. [5 marks]
Note that these questions are sorted in date order (most recent questions first).
November 2010, 4H Q20: 5 Marks
21
*P40660A02124*
21 Solve the simultaneous equations
y = 2x2
y = 20 !"#x
Show clear algebraic working.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 5 marks)
(TOTAL FOR PAPER IS 100 MARKS)
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3. [5 marks]
Note that these questions are sorted in date order (most recent questions first).
May 2012, 3H Q21: 5 Marks
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4. [6 marks]
Note that these questions are sorted in date order (most recent questions first).
May 2007, 3H Q19: 6 Marks
21
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23 Solve x2 + y2 = 20 y = 10 – 2x
Show clear algebraic working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 5 marks)
TOTAL FOR PAPER IS 100 MARKS
5. [5 marks]
Note that these questions are sorted in date order (most recent questions first).
June 2015, 4H Q23: 5 Marks
22
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24 Solve the simultaneous equations
y = 3x + 2x2 + y2 = 20
Show clear algebraic working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 24 is 6 marks)
TOTAL FOR PAPER IS 100 MARKS
6. [6 marks]
Note that these questions are sorted in date order (most recent questions first).
January 2016, 4HR Q24: 6 Marks
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7. [7 marks]
Note that these questions are sorted in date order (most recent questions first).
May 2004, 4H Q21: 7 Marks
18
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22 Solve the simultaneous equations
2x – y = 7
x2 + y2 = 34
Show clear algebraic working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 7 marks)
8. [7 marks]
Note that these questions are sorted in date order (most recent questions first).
January 2014, 4H Q22: 7 Marks
Solve the simultaneous equations
y = 5x – 1
y = (x + 1)2
Show clear algebraic working
9. [6 marks]
Note that these questions are sorted in date order (most recent questions first).
September 2015, Extra Q24: 6 Marks
Solve the simultaneous equations
xy = 12y − 3x = −9
Show clear algebraic working.
........................................................ (7)
10. [7 marks]
Note that these questions are sorted in date order (most recent questions first).
November 2017, Extra Q20: 7 Marks
Solve the simultaneous equations
y = 3x2 + 7x + 9y = 4x +15
Show clear algebraic working.
........................................................ (7)
11. [5 marks]
Note that these questions are sorted in date order (most recent questions first).
November 2017, Extra Q21: 5 Marks
Solve the simultaneous equations
3y2 + 4x2 = 16y − 2x = −4
Show clear algebraic working.
........................................................ (7)
12. [7 marks]
Note that these questions are sorted in date order (most recent questions first).
November 2017, Extra Q22: 7 Marks