Daily Practice · Higher

Daily Practice - Higher

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

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8th July 2026

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Fractional and Negative Indices2 marks

    Write 5^-2 as a fraction.

  2. 2
    Trigonometric and Exponential Graphs2 marks

    The curve y = 2^x is drawn. Work out y when x = 2, and write down where the curve crosses the y-axis.

  3. 3
    Speed and Density2 marks

    A block has volume 95 cm^3 and density 7.5 g/cm^3. Work out its mass.

  4. 4
    Vectors3 marks

    a is the column vector (3, 6) and b is (-6, -2). Work out 5a - 3b as a column vector.

  5. 5
    Probability Trees3 marks

    2 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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