Year 9 Objectives for mental activities

  • Order, add, subtract, multiply and divide integers.
  • Multiply and divide decimals by 10, 100, 1000, 0.1 and 0.01
  • Count on and back in steps of 0.4, 0.75, 3/4…
  • Round numbers, including to one or two decimal places.
  • Know and use squares, cubes, roots and index notation.
  • Know or derive quickly prime numbers less than 30 and factor pairs for a given number.
  • Convert between fractions, decimals and percentages. Know that 0.005 is half of one per cent.
  • Find fractions and percentages of quantities.
  • Know or derive complements of 0.1, 1, 10, 50, 100, 1000.
  • Add and subtract several small numbers or several multiples of 10, e.g. 250 + 120 – 190.
  • Use jottings to support addition and subtraction of whole numbers and decimals.
  • Use knowledge of place value to multiply and divide, e.g. 432 x 0.01, 37 ÷ 0.01, 0.04 x 8, 0.03 ÷ 5, 13 x 1.4.
  • Recall multiplication and division facts to 10 x 10. Derive products and quotients of multiples of 10, 100, 1000.
  • Use factors to multiply and divide mentally, e.g. 22 x 0.02, 420 ÷ 15.
  • Multiply and divide a two-digit number by a one-digit number.
  • Use approximations to estimate the answers to calculations, e.g. 39 x 2.8.
  • Solve equations, e.g. n(n – 1) = 56, µ + µ = – 46
  • Visualise, describe and sketch 2-D shapes.
  • Recall and use formulae for the perimeter of a rectangle, and areas of rectangles and triangles.
  • Calculate volumes of cuboids.
  • Estimate and order acute, obtuse and reflex angles.
  • Use metric units (length, mass, capacity) and units of time for calculations.
  • Use metric units for estimation (length, mass, capacity).
  • Convert between metric units, including area, volume and capacity measures.
  • Discuss and interpret graphs.
  • Calculate a mean using an assumed mean.
  • Apply mental skills to solve simple problems.