Daily Practice · Higher

Daily Practice - Higher

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

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15th April 2026

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Surds2 marks

    Write sqrt(20) in the form a sqrt(b), where b is as small as possible.

  2. 2
    Equation of a Line3 marks

    A line has gradient -1 and passes through (6, 0). Work out its equation.

  3. 3
    Speed and Density2 marks

    A block has volume 135 cm^3 and density 7.5 g/cm^3. Work out its mass.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 16 cm and 17 cm with an angle of 51° between them. Work out its area, to 1 decimal place.

  5. 5
    Probability Trees3 marks

    2 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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