43 self-marking GCSE and IGCSE practice questions on Inverse operations and reciprocals, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.
Sample Inverse operations and reciprocals questions
A few of the 43 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 1-2
I am thinking of a number. I multiply it by 6 and the answer is 60. What is my number? Show your working.
Show the worked solution
Multiplication and division are inverse operations, so undo the "×6" by dividing: 60÷6=10M1A1
What are the common mistakes in Inverse operations and reciprocals?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Treats a reciprocal (1/x) as if it meant the negative of the number
Wrote the negative of the improper fraction instead of swapping numerator and denominator
Applies the wrong inverse operation when isolating the unknown (e.g. subtracts instead of adding, or vice versa)
Added 11 again instead of subtracting it to undo the original addition
Takes the reciprocal of a mixed number without first converting it to an improper fraction
Flipped only the fractional part of the mixed number instead of converting the whole mixed number to an improper fraction first
Quick answers about Inverse operations and reciprocals
How many Inverse operations and reciprocals practice questions are there?
There are 43 self-marking GCSE and IGCSE Maths questions on Inverse operations and reciprocals, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Inverse operations and reciprocals?
No. You can start practising Inverse operations and reciprocals straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
Question 22 marksGrade 1-2
A number has 9 added to it, giving 23. What is the number?
Show the worked solution
Use the inverse operation (subtract instead of add): 23−9=14M1A1
Question 32 marksGrade 1-2
A number is divided by 5, giving 8. What is the number?
Question 42 marksGrade 1-2
Twice a number is 34. What is the number?
Question 52 marksGrade 1-2
The reciprocal of a number is 61. What is the number?