Structure and calculation common mistakes

Ordering numbers and inequality notation common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Order positive and negative integers, decimals and fractions and use =, !=, <, >, <= and >= correctly..

Show the method first, then give the final answer in the required form. Apply this directly to Ordering numbers and inequality notation.

Operations and place value common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Apply the four operations to integers, decimals, simple fractions and mixed numbers, including positive and negative values..

Show the method first, then give the final answer in the required form. Apply this directly to Operations and place value.

Operations and place value common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use place value with very large numbers, very small numbers and decimal calculations, including financial contexts..

Show the method first, then give the final answer in the required form. Apply this directly to Operations and place value.

Inverse operations and priority of operations common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use relationships between operations, including inverse operations, to simplify calculations and expressions..

Show the method first, then give the final answer in the required form. Apply this directly to Inverse operations and priority of operations.

Inverse operations and priority of operations common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Apply conventional priority of operations using brackets, powers, roots and reciprocals..

Show the method first, then give the final answer in the required form. Apply this directly to Inverse operations and priority of operations.

Factors, multiples and prime factorisation common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use vocabulary and methods for primes, factors, multiples, common factors, common multiples, HCF, LCM and prime factorisation..

Show the method first, then give the final answer in the required form. Apply this directly to Factors, multiples and prime factorisation.

Factors, multiples and prime factorisation common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Write products of prime factors using index notation and apply the uniqueness of prime factorisation..

Show the method first, then give the final answer in the required form. Apply this directly to Factors, multiples and prime factorisation.

Systematic listing and counting common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Apply systematic listing strategies using lists, tables and diagrams..

Show the method first, then give the final answer in the required form. Apply this directly to Systematic listing and counting.

Systematic listing and counting common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Use the product rule for counting where the specification requires it..

Show the method first, then give the final answer in the required form. Apply this directly to Systematic listing and counting.

Powers and roots common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use positive integer powers and associated roots, including square, cube and higher roots..

Show the method first, then give the final answer in the required form. Apply this directly to Powers and roots.

Powers and roots common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Recognise powers of 2, 3, 4 and 5 and estimate powers and roots of positive numbers..

Show the method first, then give the final answer in the required form. Apply this directly to Powers and roots.

Indices and roots common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Calculate with roots and integer indices..

Show the method first, then give the final answer in the required form. Apply this directly to Indices and roots.

Indices and roots common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Calculate with fractional indices..

Show the method first, then give the final answer in the required form. Apply this directly to Indices and roots.

Exact calculation common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Calculate exactly with fractions and exact multiples of pi..

Show the method first, then give the final answer in the required form. Apply this directly to Exact calculation.

Exact calculation common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Calculate exactly with surds, simplify surd expressions involving squares and rationalise denominators..

Show the method first, then give the final answer in the required form. Apply this directly to Exact calculation.

Standard form common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Calculate with and interpret standard form A x 10^n, where 1 <= A < 10 and n is an integer..

Show the method first, then give the final answer in the required form. Apply this directly to Standard form.

Standard form common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Interpret calculator displays involving standard form..

Show the method first, then give the final answer in the required form. Apply this directly to Standard form.