Daily Practice

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29th August 1984

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    The Product Rule for Counting3 marks

    A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?

  2. 2
    Simultaneous Equations3 marks

    4 teas and 3 cakes cost £16.80. 3 teas and 2 cakes cost £11.75. Find the price of a tea.

  3. 3
    Speed and Density2 marks

    A block has volume 165 cm^3 and density 11 g/cm^3. Work out its mass.

  4. 4
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has a hypotenuse of 24 cm and an angle of 35°. Work out the side opposite that angle, to 1 decimal place.

  5. 5
    Probability Trees3 marks

    6 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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