Daily Practice · Higher

Daily Practice - Higher

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

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7th March 2025

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

  1. 1
    Probability Trees3 marks

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

  2. 2
    Capture Recapture2 marks

    A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.

  3. 3
    Reverse Percentages3 marks

    A bill is £288 including VAT at 20%. Work out the amount before VAT.

  4. 4
    Simultaneous Equations3 marks

    4 teas and 3 cakes cost £13.40. 3 teas and 3 cakes cost £10.95. Find the price of a tea.

  5. 5
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 5, y = 50. Work out y when x = 9.

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