TopicGeneral Maths
Algebra · SS1
Expressions, formulae & change of subject
Using letters for numbers: simplifying expressions, substituting values and making a letter the subject.
Learn
- 1Substituting and expandingLetters stand for numbers: put numbers in carefully, collect like terms, multiply out brackets without losing a term or a sign, and read function notation.Done20 min
- 2Factorising and algebraic fractionsTake out common factors, group in pairs, spot the difference of two squares, simplify, add and cancel algebraic fractions correctly, and split a fraction into partial fractions.Done22 min
- 3Changing the subject of a formulaGet one letter on its own by undoing what was done to it, last operation first, and handle roots, powers, fractions and a letter that appears twice.Done15 min
Practise
Answer expressions, formulae & change of subject questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.
Your progress is saved on this device as you practise. No account needed.
Past questions (97)
From 1983–2025: 41 WAEC, 10 NECO, 46 JAMB. Theory questions first, then objective, newest first.
Theory (20)
- WAEC 2025 · Paper 2 · Q7Given , find in terms of , and .
- WAEC 2023 · Paper 2 · Q1A car travels a distance of at an average speed of . It then travels further for at an average …
- NECO 2022 · Paper 2 · Q9Make the subject of the formula .
- WAEC 2022 · Paper 2 · Q2Given that ,
- WAEC 2022 · Paper 2 · Q2Make the subject of the relation .
- WAEC 2021 · Paper 2 · Q2Given that ,
- WAEC 2020 · Paper 2 · Q2Given that , (i) make the subject of the relation; (ii) find, correct to two decimal places, …
- WAEC 2020 · Paper 2 · Q1Two fractions have the same denominator, 8. The sum of the two fractions is . If one of the fractions is added to 5 times the other, …
- WAEC 2019 · Paper 2 · Q1Solve the inequality .
- WAEC 2016 · Paper 2 · Q2If , make the subject of the equation.
- WAEC 2015 · Paper 2 · Q11Make the subject of the relation .
- WAEC 2014 · Paper 2 · Q13Two functions and are defined by and , where is a real number. (i) If , …
- WAEC 2014 · Paper 2 · Q1Factorize completely: .
- WAEC 2014 · Paper 2 · Q12In the diagram, is a tangent to the circle at , and is the centre of the circle ( is a diameter). If …
- WAEC 2013 · Paper 2 · Q6Two positive whole numbers and are such that is greater than and their sum is equal to three times their difference. (i) Express …
- WAEC 2012 · Paper 2 · Q6Simplify: .
- WAEC 2011 · Paper 2 · Q2Make the subject of the relation .
- WAEC 2011 · Paper 2 · Q7Divide by .
- WAEC 2009 · Paper 2 · Q9Simplify .
- WAEC 2008 · Paper 2 · Q2Simplify .
Objective (77)
- NECO 2024 · Paper 1 · Q21Find in terms of and in the relation .
- NECO 2024 · Paper 1 · Q28Simplify .
- WAEC 2024 · Paper 1 · Q15Make the subject of the relation .
- WAEC 2024 · Paper 1 · Q28Factorize completely: .
- WAEC 2024 · Paper 1 · Q5Simplify: .
- WAEC 2024 · Paper 1 · Q50For what values of is not defined?
- NECO 2023 · Paper 1 · Q31Given that , find the value of when , and .
- WAEC 2023 · Paper 1 · Q14Make the subject of the relation .
- WAEC 2023 · Paper 1 · Q50For what values of is undefined?
- NECO 2022 · Paper 1 · Q19Find the values of for which is undefined.
- NECO 2022 · Paper 1 · Q21Simplify .
- NECO 2022 · Paper 1 · Q23Simplify .
- NECO 2022 · Paper 1 · Q28Factorize .
- NECO 2022 · Paper 1 · Q29Evaluate when , and .
- NECO 2022 · Paper 1 · Q31Given that , make the subject of the formula.
- WAEC 2022 · Paper 1 · Q10If and , find the value of .
- WAEC 2022 · Paper 1 · Q14Mary has $3.00 more than Ben but $5.00 less than Jane. If Mary has $, how much do Jane and Ben have altogether?
- WAEC 2022 · Paper 1 · Q18Make the subject of .
- WAEC 2022 · Paper 1 · Q34Simplify .
- WAEC 2021 · Paper 1 · Q16Make the subject in .
- WAEC 2021 · Paper 1 · Q23If , find .
- WAEC 2021 · Paper 1 · Q49For what value of is undefined?
- WAEC 2021 · Paper 1 · Q7Factorize .
- WAEC 2020 · Paper 1 · Q14Make the subject of the relation .
- WAEC 2020 · Paper 1 · Q21The expression will be undefined when equals
- WAEC 2020 · Paper 1 · Q23Simplify .
- WAEC 2020 · Paper 1 · Q9If and , evaluate .
- WAEC 2019 · Paper 1 · Q11If , evaluate .
- WAEC 2019 · Paper 1 · Q19Simplify .
- WAEC 2019 · Paper 1 · Q20Which of these values would make undefined?
- WAEC 2019 · Paper 1 · Q26Make the subject of the relation .
- JAMB 2018 · UTME · Q13Simplify .
- JAMB 2018 · UTME · Q23Make the subject of the formula .
- JAMB 2018 · UTME · Q29Make the subject of the formula if .
- JAMB 2018 · UTME · Q4If , make the subject of the formula.
- JAMB 2017 · UTME (set 2) · Q10Given , make the subject of the formula.
- JAMB 2017 · UTME (set 2) · Q29Make the subject of the relation .
- JAMB 2015 · UTME · Q3Multiply by .
- JAMB 2015 · UTME · Q9A trader goes to Ghana for days with cedis. For the first days, he spends cedis per day. The amount he has to spend per day for …
- JAMB 2014 · UTME · Q12If , make the subject of the formula.
- JAMB 2013 · UTME · Q11If , find in terms of .
- JAMB 2012 · UTME · Q11Make the subject of the formula .
- JAMB 2011 · UTME · Q12Make the subject of the formula .
- JAMB 2010 · UTME · Q13Make the subject of the formula .
- JAMB 2010 · UTME · Q15Factorize completely .
- JAMB 2002 · UME · Q38The inverse of the function is
- JAMB 2001 · UME · Q6If , evaluate .
- JAMB 1998 · UME · Q14Make the subject of the formula .
- JAMB 1998 · UME · Q16Express in partial fractions.
- JAMB 1998 · UME · Q7A man is paid naira per hour for normal work and double rate for overtime. If he does a 35-hour week which includes hours of overtime, …
- JAMB 1997 · UME · Q14Make the subject of the formula .
- JAMB 1997 · UME · Q16Find the value of if expressed in partial fractions is , where …
- JAMB 1995 · UME · Q19Express in partial fractions.
- JAMB 1994 · UME · Q16Find if .
- JAMB 1993 · UME · Q11Make the subject of the relation .
- JAMB 1993 · UME · Q17If the function is defined by , find .
- JAMB 1993 · UME · Q19Simplify .
- JAMB 1992 · UME · Q10Make the subject of the formula .
- JAMB 1992 · UME · Q15Resolve into partial fractions.
- JAMB 1991 · UME · Q16If , find .
- JAMB 1990 · UME · Q15If , find .
- JAMB 1990 · UME · Q25Simplify .
- JAMB 1989 · UME · Q18Simplify .
- JAMB 1989 · UME · Q26Express as a single fraction.
- JAMB 1988 · UME · Q16If , what is ?
- JAMB 1987 · UME · Q16If , find when and .
- JAMB 1987 · UME · Q18The formula gives the cost (in naira) of feeding people for a week. Find, in kobo, the extra cost of feeding one additional …
- JAMB 1987 · UME · Q20Make the subject of the formula .
- JAMB 1986 · UME · Q18If , find when .
- JAMB 1986 · UME · Q22Simplify .
- JAMB 1986 · UME · Q26Simplify .
- JAMB 1986 · UME · Q27Make the subject of the formula .
- JAMB 1986 · UME · Q29If , find the value of in terms of .
- JAMB 1985 · UME · Q11Write in terms of , , and if .
- JAMB 1985 · UME · Q25If , find .
- JAMB 1984 · UME · Q36If and , express in terms of .
- JAMB 1983 · UME · Q40If , find .