51 self-marking GCSE and IGCSE practice questions on One-step and two-step equations, 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.
A few of the 51 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 1-2
Solve 6x=12.
Show the worked solution
Divide both sides by 6: x=2M1A1
Question 23 marksGrade 4-5
What are the common mistakes in One-step and two-step equations?
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.
Gives an intermediate value (e.g. before the final division/simplification) as the final answer
Found -3x = -12 but forgot to divide by -3
Ignores a fixed/standing charge when calculating a total from a formula
Divided the total £12 by the price £4 without first removing the £4 booking fee
Applies the wrong inverse operation when isolating the unknown (e.g. subtracts instead of adding, or vice versa)
Added the £4 booking fee back on instead of subtracting it from the total
Quick answers about One-step and two-step equations
How many One-step and two-step equations practice questions are there?
There are 51 self-marking GCSE and IGCSE Maths questions on One-step and two-step equations, 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 One-step and two-step equations?
No. You can start practising One-step and two-step equations straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
Solve −4x−20=13. Give your answer as a decimal. Show your working.
Show the worked solution
Add 20 to both sides: −4x=33
Divide both sides by -4: x=−8.25M1M2A1
Question 33 marksGrade 5-6
Kai buys some bus tickets online. Each ticket costs £4, and there is a fixed booking fee of £4 added to the whole order. Kai's total cost is £12. Write an equation for this, using x for the number of tickets Kai buys, then find x. Show your working.
Question 44 marksGrade 5-6
Ryan thinks of three consecutive whole numbers. The smallest is x. When Ryan adds all three numbers together, the total is 81.
(a) Write an equation for this situation.
(b)(i) Solve your equation to find the first number.
(b)(ii) State the second number.
(b)(iii) State the third number.
Question 53 marksGrade 6-7
Two angles on a straight line are (3x+10)° and (x+30)°.
Form an equation and solve it to find x. Show your working.
Question 66 marksGrade 8
Halina cycled from A to B at an average speed of 26 km per hour. She then cycled from B to C at an average speed of 20 km per hour.
She left A at 10.00 am, did not stop at B, and arrived at C at 3.00 pm.
It took Halina x hours to cycle from A to B.
(a) Write down an expression, in terms of x, for the time taken to cycle from B to C, and hence show that the distance from B to C, in kilometres, is 100−20x.
(b) The total distance cycled by Halina from A to C is 118 km. Find the distance from A to B.