Daily Practice

Higher

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18th December 1972

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Fractional and Negative Indices3 marks

    Work out 25^(3/2).

  2. 2
    Simultaneous Equations3 marks

    3 teas and 2 cakes cost £7.65. 2 teas and 3 cakes cost £8.10. Find the price of a tea.

  3. 3
    Repeated Percentage Change3 marks

    A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.

  4. 4
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has a hypotenuse of 15 cm and an angle of 38°. Work out the side opposite that angle, to 1 decimal place.

  5. 5
    Probability Trees3 marks

    2 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1972, including the monthly compilation PDF.