Daily Practice

Higher

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27th February 1987

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

  1. 1
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.7979... as a fraction in its simplest form.

  2. 2
    Simultaneous Equations3 marks

    4 teas and 2 cakes cost £13.10. 2 teas and 2 cakes cost £9.10. Find the price of a tea.

  3. 3
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 3, y = 24. Work out y when x = 10.

  4. 4
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has a hypotenuse of 9 cm and an angle of 37°. Work out the side opposite that angle, to 1 decimal place.

  5. 5
    Probability Trees3 marks

    3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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