33n: Evaluating powers and roots and identifying square or cube numbers
47n: Using the three index laws with whole numbers
57n: Converting large numbers to and from standard form
63n: Converting small numbers to and from standard form
64n: Calculate with numbers in standard form using a calculator
72n: Evaluate negative powers or reciprocal of whole numbers
74n: Add, Subtract, Multiply or Divide numbers in standard form without a calculator
Higher tier only
75n: Estimate powers of a given number and roots of positive numbers up to 15² or 10³
77n: Evaluate 1/n fractional powers of whole numbers
79n: Evaluate positive or negative fractional powers of whole numbers
82n: Simplifying surds by taking out square factors
83n: Estimate roots of any given positive number by first simplifying surds
84n: Evaluate fractional negative powers of fractions or mixed numbers
86n: Rationalising the denominator when the denominator is a single surd
87n: Expanding pairs of brackets containing surds
88n: Recognising a geometric sequence where the common ratio is a surd
92n: Give solutions to a quadratic equation in exact surd form e.g. solving by completing the square
93n: Rationalising the denominator by multiplying by a conjugate expression
94n: Solve an index equation by first making the bases match