TopicGeneral Maths
Number · SS1
Indices & standard form
The laws of indices and writing very large or very small numbers in standard form.
- Before this
- Number foundations & fractions
- Leads to
- LogarithmsSurdsIndices, logarithms & surds
Learn
- 1The laws of indicesWhy you add indices when multiplying and subtract when dividing, what zero, negative and fractional indices mean, and evaluating powers of fractions and decimals.Done20 min
- 2Equations with indicesSolving equations where the unknown is in the index: make the bases the same and compare indices, factor out a common power, spot a hidden quadratic, undo a power on the unknown, and solve two such equations together.Done20 min
- 3Standard formWriting very large and very small numbers as A × 10ⁿ, multiplying and dividing in standard form, and simplifying decimals without a calculator.Done14 min
Practise
Answer indices & standard form 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 (82)
From 1983–2025: 28 WAEC, 6 NECO, 48 JAMB. Theory questions first, then objective, newest first.
Theory (17)
- NECO 2023 · Paper 2 · Q4Solve the equation .
- NECO 2023 · Paper 2 · Q7The sum of the ages of a man and his daughter is 60 years. Six years ago, the man's age was three times that of his daughter. Find their present …
- WAEC 2022 · 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 2019 · Paper 2 · Q3Ali, Musah and Yusif shared ₦420,000.00 in the ratio respectively. Find the sum of Ali's and Yusif's shares.
- WAEC 2019 · Paper 2 · Q6Fred bought a car for $5,600.00 and later sold it at of the cost price. He spent $1,310.00 out of the amount received and invested the …
- WAEC 2019 · Paper 2 · Q2The slant height of a cone is and the diameter is . Calculate, correct to three significant figures, the curved …
- WAEC 2019 · Paper 2 · Q6Given that and , find the value of .
- WAEC 2016 · Paper 2 · Q1Without using mathematical tables or calculators, evaluate , leaving the answer in standard form …
- WAEC 2014 · Paper 2 · Q1Without using tables or a calculator, simplify , leaving the answer in standard …
- WAEC 2014 · Paper 2 · Q1Factorize completely: .
- WAEC 2013 · Paper 2 · Q1Evaluate .
- WAEC 2012 · Paper 2 · Q1Without using tables or a calculator, simplify , leaving your answer in standard …
- WAEC 2012 · Paper 2 · Q10If , find .
- WAEC 2011 · Paper 2 · Q2Make the subject of the relation .
- WAEC 2009 · Paper 2 · Q1Given that , find and .
- WAEC 2008 · Paper 2 · Q6If and , find the values of and .
Objective (65)
- WAEC 2025 · Paper 1 · Q3Express in standard form.
- WAEC 2025 · Paper 1 · Q4Simplify .
- NECO 2024 · Paper 1 · Q13Solve .
- WAEC 2024 · Paper 1 · Q1Multiply by and leave the answer in standard form.
- WAEC 2023 · Paper 1 · Q3Solve .
- WAEC 2023 · Paper 1 · Q4Solve .
- NECO 2022 · Paper 1 · Q14Evaluate .
- NECO 2022 · Paper 1 · Q33If varies inversely as and when , find the value of when .
- NECO 2022 · Paper 1 · Q4If , find the value of .
- WAEC 2022 · Paper 1 · Q6If , find the value of .
- WAEC 2021 · Paper 1 · Q10If , find the value of .
- WAEC 2021 · Paper 1 · Q3Solve .
- WAEC 2020 · Paper 1 · Q3Simplify .
- WAEC 2019 · Paper 1 · Q17If , find the value of .
- WAEC 2019 · Paper 1 · Q2Evaluate .
- WAEC 2019 · Paper 1 · Q22If and , evaluate .
- WAEC 2019 · Paper 1 · Q50Evaluate , leaving the answer in standard form.
- JAMB 2017 · UTME · Q22Evaluate .
- JAMB 2017 · UTME (set 2) · Q11Simplify .
- JAMB 2017 · UTME (set 2) · Q17The value of when is
- JAMB 2017 · UTME (set 2) · Q21Evaluate and leave the answer in standard form.
- JAMB 2017 · UTME (set 2) · Q32Simplify .
- JAMB 2016 · UTME · Q33, where and is a whole number. The values of and are
- JAMB 2016 · UTME · Q38Simplify .
- JAMB 2015 · UTME · Q36Simplify .
- JAMB 2014 · UTME · Q4Express the product of 0.00043 and 2000 in standard form.
- JAMB 2014 · UTME · Q7Solve for in .
- JAMB 2012 · UTME · Q6If , find .
- JAMB 2011 · UTME · Q6Simplify .
- JAMB 2010 · UTME · Q10Express the product of 0.21 and 0.34 in standard form.
- JAMB 2010 · UTME · Q7Evaluate .
- JAMB 2003 · UME · Q11If , find the value of .
- JAMB 2002 · UME · Q3Evaluate correct to four significant figures.
- JAMB 2002 · UME · Q6Without using tables, evaluate .
- JAMB 2001 · UME · Q11Divide by .
- JAMB 2000 · UME · Q11Evaluate .
- JAMB 2000 · UME · Q9Simplify .
- JAMB 1997 · UME · Q3Find the value of in standard form.
- JAMB 1997 · UME · Q6If , find .
- JAMB 1995 · UME · Q5Express the product of 0.0014 and 0.011 in standard form.
- JAMB 1995 · UME · Q6Evaluate .
- JAMB 1995 · UME · Q7Find the value of .
- JAMB 1994 · UME · Q2Evaluate , correct to 2 significant figures.
- JAMB 1994 · UME · Q4Without using tables, solve the equation .
- JAMB 1994 · UME · Q9Solve for if .
- JAMB 1993 · UME · Q3If , find the value of .
- JAMB 1993 · UME · Q4Solve for in the equation .
- JAMB 1992 · UME · Q4What is the value of satisfying the equation ?
- JAMB 1992 · UME · Q5Simplify .
- JAMB 1991 · UME · Q25Evaluate .
- JAMB 1990 · UME · Q6Simplify and express in standard form .
- JAMB 1990 · UME · Q8Simplify .
- JAMB 1989 · UME · Q12What are the values of which satisfy the equation ?
- JAMB 1989 · UME · Q17Find the positive number such that .
- JAMB 1989 · UME · Q2Evaluate .
- JAMB 1989 · UME · Q5Simplify .
- JAMB 1988 · UME · Q11The thickness of an 800-page book is 18 mm. Calculate the thickness of one leaf of the book, giving your answer in metres and in standard form.
- JAMB 1987 · UME · Q13Instead of writing as a decimal correct to 3 significant figures, a student wrote it correct to 3 decimal places. Find his error …
- JAMB 1986 · UME · Q15Evaluate .
- JAMB 1986 · UME · Q25If and , find .
- JAMB 1985 · UME · Q18If , find .
- JAMB 1984 · UME · Q14Simplify .
- JAMB 1983 · UME · Q32If , find the values of and .
- JAMB 1983 · UME · Q42Simplify .
- JAMB 1983 · UME · Q9If , where , find and .