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Mathematics 0580

1. Number

Number types, fractions, indices, standard form, ratio, percentages, bounds and surds.

  1. 1.1

    Types of number, HCF and LCM

    Primes, factors, multiples, and finding HCF and LCM by prime factorisation.

    Full lesson1 questions5 cards
    • 1.1.1Identify and use natural numbers, primes, factors, multiples, squares and cubes.
    • 1.1.2Express numbers as products of prime factors and find the HCF and LCM.
  2. 1.2

    Fractions, decimals and percentages

    Converting between them and calculating with fractions.

    Full lesson1 questions5 cards
    • 1.2.1Convert between fractions, decimals and percentages and order them.
    • 1.2.2Calculate with fractions, including mixed numbers.
  3. 1.3

    Indices and standard form

    The laws of indices and writing very large or small numbers.

    Full lesson2 questions5 cards
    • 1.3.1Use the laws of indices, including negative and fractional indices.
    • 1.3.2Convert between ordinary numbers and standard form and calculate with them.
  4. 1.4

    Ratio, proportion and percentage

    Sharing in a ratio, direct and inverse proportion, and percentage change.

    Full lesson2 questions5 cards
    • 1.4.1Divide a quantity in a given ratio and use direct and inverse proportion.
    • 1.4.2Calculate percentage increase, decrease, reverse percentages and compound interest.
  5. 1.5

    Estimation, bounds and limits of accuracy

    Rounding, estimating, and the upper and lower bounds of a measurement.

    Full lesson2 questions5 cards
    • 1.5.1Round values, estimate calculations, and find upper and lower bounds.
    • 1.5.2Use bounds in calculations involving sums, differences, products and quotients.
  6. 1.6

    Surds

    Simplifying exact roots and rationalising denominators.

    Full lesson1 questions5 cardsReview first: 1.3
    • 1.6.1Simplify surds and rationalise denominators.