Numeracy Skills – Fractions

  1. Draw a rectangle. Divide it into two equal parts. Label each part as a fraction of the whole.
  2. Draw a circle. Divide it into three equal parts. Label each part as a fraction of the whole.
  3. Draw a square. Divide it into two equal parts. Divide each part into 2 again. Label each part as a fraction of the whole.
  4. Write these fractions:

X:\aged_care\numeracy\Draw a rectangle.docpage 1

M. Lomas Feb 06

one quarter

one half

three quarters

two thirds

one fifth

three fifths

one eighth

one whole

two quarters

one and one third

four thirds

eight sixths

five fifths

two sixths

four eighths

five sixths

three sixths

two tenths

five tenths

six eighths

X:\aged_care\numeracy\Draw a rectangle.docpage 1

M. Lomas Feb 06

  1. Match any of the above fractions that have the same value and write them like this:
    ½ = 2/4 = 3/6 etc…
  2. a) How many meters are there in 1 kilometre?
    b) How many metres are there in half a kilometre?
  1. a) How many centimetres in one metre?
    b) How many centimetres in one quarter of a kilometre?
  2. a) How many millilitres in one litre?
    b) How many millilitres in one fifth of a litre?
  3. A man earns six hundred dollars per week and pays one third of that in tax.
    a) How much tax does he pay?
    b) How much money does he take home after tax?
    c) The man’s wife earns half that of her husband. How much does she earn?
    d) She pays one fifth of her salary in tax. How much tax does she pay each week?
    e) How much does she take home each week?
    f) How much money do they bring home as a combined household each week?
    g) How much would that be as an annual figure?
  1. A man died and left half a million dollars to his five children.
    a) How many thousand dollars did he leave?
    b) If each child receives an equal share, how much does each expect to receive?
    c) Unfortunately, the government claimed one quarter of the amount gifted to each child in tax. How much did each child receive?
    d) How much did the government get in total?
  1. A family bought a house in 1990 for one hundred and twenty thousand dollars. They sold the house in the year 2000 for double that amount.
    a) What was the selling price of the house?
    b) They still owed one third of the purchase price on the house to the bank. How much do they still owe the bank?
    c) After paying the bank, how much does the family have left?

X:\aged_care\numeracy\Draw a rectangle.docpage 1

M. Lomas Feb 06