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Free reference guide · QCE

Worked examples: QCE General Mathematics Formula Book

Use the QCAA General Mathematics formula book with worked examples for measurement and recurrence.

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Selected worked examples

  1. Measurement · trapezium

    Formula or reference: A = h(a + b)/2

    Units and conditions: a and b are the parallel sides. Use their perpendicular separation h.

    Worked example: A canal cross-section with parallel sides 4.5 m and 7.5 m, 2 m apart, has area 12 m².

  2. Growth · arithmetic sequences

    Formula or reference: t(n) = t(1) + (n − 1)d

    Units and conditions: d is the change each step. n starts at 1.

    Worked example: A theatre has 18 seats in the first row and adds two seats per row. Row 9 has 34 seats.

What to work out beyond the sheet

Write the first term and the time of the first observation before choosing an arithmetic or geometric model.

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