Reciprocals & their graphs
AQA GCSE Maths revision on Reciprocals & their graphs. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
What is the reciprocal of the number 5?
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Answer: 0.2
The reciprocal of any non-zero number x is defined as 1 divided by x. Therefore, 1 divided by 5 equals 0.2.
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Question 2
What is the value of the reciprocal of 0.25?
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Answer: 4
The reciprocal of 0.25 is 1 divided by 0.25. Since 0.25 is one quarter, dividing one by one quarter is equivalent to multiplying by four, which results in 4.
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Question 3
Which coordinate point must lie on the graph of y = 1/x?
- A) Point four comma zero point two five
- B) Point two comma zero point five zero
- C) Point six comma zero point one four
- D) Point eight comma zero point eight zero
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Answer: Point four comma zero point two five
For the graph y = 1/x, the product of the x and y coordinates must always equal 1. Only the point (4, 0.25) satisfies 4 times 0.25 equals 1.
Want to test yourself on the remaining cards for this topic?
13 more questions on Reciprocals & their graphs — plus mistakes tracking and spaced repetition across the whole Maths spec.