Free-Standing Mathematics Qualification

The Nuffield Foundation

Free-Standing Mathematics Qualification

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Advanced Level: FSMQ Pilots 2008-9

Please note that these new FSMQs are assessed by examination only.

Data Analysis

Word version (90 KB) of work scheme PDF version (31 KB) of work scheme

See also Using and Applying Statistics Starters, Skill Activities, Assignments and Web links.

Dynamics
Word version (101 KB) of work scheme PDF version (31 KB) of work scheme.

Mathematical Principles for Personal Finance
Word version (114 KB) of work scheme PDF version (38 KB) of work scheme.

  • Savings growth
    Leaflet giving interest rates on three savings accounts and worksheet based on the leaflet. This introduces the idea of a recurrence relation and includes the use of a graphic calculator, Excel spreadsheet and formulae to find future values and the AER.
    word version (317 KB) and PDF version (105 KB)
  • Average Earnings Index
    Learners use average earning index numbers to compare the way in which earnings in different sectors have changed over different time periods.
    word version (133 KB) and PDF version (71 KB).
  • Laspeyres Index
    This activity uses a simple coffee shop example to introduce the Laspeyres index formula, gives learners practice in real contexts then asks them to calculate a Laspeyres index for their own regular spending pattern. (Includes optional use of the Personal Inflation Calculator on the National Statistics website).
    word version (267 KB) and PDF version (98 KB).
  • APR – Annual Percentage Rate
    Introduces the formula for APR that applies when a single loan is repaid in full after a fixed period and gives learners practice in using it.
    word version (95 KB) and PDF version (49 KB).
  • APR in more difficult cases
    This shows learners how to find and check APR values in cases where a loan is paid back in more than one instalment. Includes plenty of practice in using the interval bisection method and accompanied by a spreadsheet that is set up to use this method to calculate APRs.
    word version (145 KB), Excel spreadsheet (20 KB) and PDF version (77 KB).