Daily Practice · Higher

Daily Practice - Higher

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

← All tiers

2nd October 2025

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

  1. 1
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.

  2. 2
    Probability Trees3 marks

    A bag holds 3 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.

  3. 3
    Histograms2 marks

    A histogram class is 5 units wide and contains 10 values. Work out the frequency density.

  4. 4
    Reverse Percentages3 marks

    A bill is £264 including VAT at 20%. Work out the amount before VAT.

  5. 5
    Parallel and Perpendicular Lines3 marks

    Work out the equation of the line parallel to y = -x - 5 that passes through (5, -16).

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 October 2025, including the monthly compilation PDF.