Exponents, roots and logarithms

Here is a list of all of the skills that cover exponents, roots and logarithms! These skills are organised by year, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Here is a list of all of the skills that cover exponents, roots and logarithms! To start practising, just click on any link.

Year 11 skills

  1. A.3 Square roots
  2. A.4 Cube roots
  3. C.2 Compound interest
  4. C.3 Continuously compounded interest
  5. K.1 Exponents with integer bases
  6. K.2 Exponents with decimal and fractional bases
  7. K.3 Negative exponents
  8. K.4 Multiplication with exponents
  9. K.5 Division with exponents
  10. K.6 Multiplication and division with exponents
  11. K.7 Power rule
  12. K.8 Evaluate expressions using properties of exponents
  13. K.9 Identify equivalent expressions involving exponents
  14. L.1 Convert between exponential and logarithmic form: rational bases
  15. L.2 Evaluate logarithms
  16. L.3 Change of base formula
  17. L.4 Identify properties of logarithms
  18. L.5 Product property of logarithms
  19. L.6 Quotient property of logarithms
  20. L.7 Power property of logarithms
  21. L.8 Properties of logarithms: mixed review
  22. L.9 Evaluate logarithms: mixed review
  23. M.1 Domain and range of exponential and logarithmic functions
  24. M.2 Evaluate an exponential function
  25. M.3 Match exponential functions and graphs
  26. M.4 Solve exponential equations by factorising
  27. M.5 Solve exponential equations using common logarithms
  28. M.6 Solve logarithmic equations I
  29. M.7 Solve logarithmic equations II
  30. M.8 Exponential growth and decay: word problems
  31. N.5 Powers of monomials
  32. R.5 Exponential functions over unit intervals
  33. R.6 Describe linear and exponential growth and decay
  34. U.1 Simplify radical expressions
  35. U.2 Simplify radical expressions involving fractions
  36. U.3 Multiply radical expressions
  37. U.4 Add and subtract radical expressions
  38. U.5 Simplify radical expressions using the distributive property
  39. U.6 Simplify radical expressions: mixed review
  40. V.1 Evaluate rational exponents
  41. V.2 Multiplication with rational exponents
  42. V.3 Division with rational exponents
  43. V.4 Power rule with rational exponents
  44. V.5 Simplify expressions involving rational exponents I
  45. V.6 Simplify expressions involving rational exponents II

Year 12 skills

  1. K.1 Roots of integers
  2. K.2 Roots of rational numbers
  3. K.3 Find roots using a calculator
  4. K.4 Nth roots
  5. K.5 Simplify radical expressions with variables I
  6. K.6 Simplify radical expressions with variables II
  7. K.7 Multiply radical expressions
  8. K.8 Divide radical expressions
  9. K.9 Add and subtract radical expressions
  10. K.10 Simplify radical expressions using the distributive property
  11. K.11 Simplify radical expressions using conjugates
  12. K.12 Domain and range of radical functions
  13. K.13 Solve radical equations
  14. L.1 Evaluate rational exponents
  15. L.2 Multiplication with rational exponents
  16. L.3 Division with rational exponents
  17. L.4 Power rule
  18. L.5 Simplify expressions involving rational exponents I
  19. L.6 Simplify expressions involving rational exponents II
  20. P.1 Convert between exponential and logarithmic form: rational bases
  21. P.2 Convert between natural exponential and logarithmic form
  22. P.3 Convert between exponential and logarithmic form: all bases
  23. P.4 Evaluate logarithms
  24. P.5 Evaluate natural logarithms
  25. P.6 Change of base formula
  26. P.7 Identify properties of logarithms
  27. P.8 Product property of logarithms
  28. P.9 Quotient property of logarithms
  29. P.10 Power property of logarithms
  30. P.11 Properties of logarithms: mixed review
  31. P.12 Evaluate logarithms: mixed review
  32. Q.1 Domain and range of exponential and logarithmic functions
  33. Q.2 Evaluate exponential functions
  34. Q.3 Match exponential functions and graphs
  35. Q.4 Solve exponential equations by factorising
  36. Q.5 Solve exponential equations using common logarithms
  37. Q.6 Solve exponential equations using natural logarithms
  38. Q.7 Solve logarithmic equations I
  39. Q.8 Solve logarithmic equations II
  40. Q.9 Identify linear and exponential functions
  41. Q.10 Exponential functions over unit intervals
  42. Q.11 Describe linear and exponential growth and decay
  43. Q.12 Exponential growth and decay: word problems
  44. Q.13 Compound interest: word problems
  45. Q.14 Continuously compounded interest: word problems