SIMULTANEOUS EQUATIONS (QUADRATIC)[ESTIMATED TIME: 70 minutes] GCSE TOPIC PRACTICE

(+ IGCSE) EXAM QUESTION PRACTICE71+Q1!

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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.

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(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

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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