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HomeQuestion 1OpenStax Algebra and Trigonometry (paraphrased practice)
Solve carefully: Solve x + y = 7 and x^2 + y^2 = 29.
Secondary 4Secondary 4Maths revision
Simultaneous Equations (Advanced)
Build confidence with simultaneous equations (advanced) through short revision prompts and exam-style checks.
Focus points
✓Review the core ideas in simultaneous equations (advanced).
✓Solve routine questions with clear working and good notation.
✓Apply the topic in short exam-style questions.
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Practice setQuestion lineup
Mark each one done as you go — finish them all to claim your chips.
100 revision prompts
Question 2OpenStax Algebra and Trigonometry (paraphrased practice)
Show full working for: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 3OpenStax Algebra and Trigonometry (paraphrased practice)
Answer this exam-style prompt: Solve x + y = 7 and x^2 + y^2 = 29.
Question 4OpenStax Algebra and Trigonometry (paraphrased practice)
Write down the key method, then solve: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 5OpenStax Algebra and Trigonometry (paraphrased practice)
Work this out and simplify your final answer: Solve x + y = 7 and x^2 + y^2 = 29.
Question 6OpenStax Algebra and Trigonometry (paraphrased practice)
Set out your steps clearly for: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 7OpenStax Algebra and Trigonometry (paraphrased practice)
Find the answer and state your method for: Solve x + y = 7 and x^2 + y^2 = 29.
Question 8OpenStax Algebra and Trigonometry (paraphrased practice)
Complete this revision check: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 9OpenStax Algebra and Trigonometry (paraphrased practice)
Solve and check your result for: Solve x + y = 7 and x^2 + y^2 = 29.
Question 10OpenStax Algebra and Trigonometry (paraphrased practice)
Use accurate notation to answer: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 11OpenStax Algebra and Trigonometry (paraphrased practice)
Solve carefully: Solve x + y = 7 and x^2 + y^2 = 29.
Question 12OpenStax Algebra and Trigonometry (paraphrased practice)
Show full working for: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 13OpenStax Algebra and Trigonometry (paraphrased practice)
Answer this exam-style prompt: Solve x + y = 7 and x^2 + y^2 = 29.
Question 14OpenStax Algebra and Trigonometry (paraphrased practice)
Write down the key method, then solve: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 15OpenStax Algebra and Trigonometry (paraphrased practice)
Work this out and simplify your final answer: Solve x + y = 7 and x^2 + y^2 = 29.
Question 16OpenStax Algebra and Trigonometry (paraphrased practice)
Set out your steps clearly for: Solve y = x^2 - 1 and y = 2x + 5 simultaneously.
Question 17OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 18OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 19OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 20OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 21OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 22OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 23OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 24OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 25OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 26OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 27OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 28OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 29OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 30OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 31OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 32OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 33OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 34OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 35OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 36OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 37OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 38OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 39OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 40OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 41OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 42OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 43OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 44OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 45OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 46OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 47OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 48OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 49OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 50OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 51OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 52OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 53OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 54OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 55OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 56OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 57OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 58OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 59OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 60OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 61OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 62OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 63OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 64OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 65OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 66OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 67OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 68OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 69OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 70OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 71OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 72OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 73OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 74OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 75OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 76OpenStax Algebra and Trigonometry (paraphrased practice)
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 77OpenStax Algebra and Trigonometry (paraphrased practice)
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 78OpenStax Algebra and Trigonometry (paraphrased practice)
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 79OpenStax Algebra and Trigonometry (paraphrased practice)
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 80OpenStax Algebra and Trigonometry (paraphrased practice)
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 81OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 82OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 83OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 84OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 85OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 86OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 87OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 88OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 89OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 90OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 91OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 92OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 93OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 94OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 95OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.
Question 96OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Create a similar simultaneous equations (advanced) question of your own and solve it fully.
Question 97OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in simultaneous equations (advanced) and illustrate it with a worked example.
Question 98OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder simultaneous equations (advanced) question, then solve both.
Question 99OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in simultaneous equations (advanced) and correct it with an example.
Question 100OpenStax Algebra and Trigonometry (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s simultaneous equations (advanced) questions into a short word problem and solve it.