Daily Practice · Higher

Daily Practice - Higher

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

← All tiers

7th June 2025

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

  1. 1
    Fractional and Negative Indices2 marks

    Write 7^-1 as a fraction.

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 2x^2 + 9x + 10.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 5.

  4. 4
    Spheres and Cones3 marks

    A sphere has radius 15 cm. Work out its volume, leaving your answer in terms of pi.

  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.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Recent Higher sheets

Every sheet is deterministic: the same date always regenerates the same five questions. All of June 2025, including the monthly compilation PDF.