Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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19th July 2017

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 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 6x^2 - 19x + 15.

  3. 3
    Speed and Density2 marks

    A block has volume 65 cm^3 and density 11 g/cm^3. Work out its mass.

  4. 4
    Spheres and Cones3 marks

    A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.

  5. 5
    Probability Trees3 marks

    5 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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