Daily Practice · Higher

Daily Practice - Higher

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

13th December 2025

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

1
Circle Theorems2 marks
ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
2
Probability Trees3 marks
A bag holds 7 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 11, lower quartile 15, median 25, upper quartile 32 and maximum 36. Work out the interquartile range.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Changing the Subject of a Formula3 marks
Make x the subject of y = 8x^2 - 3.

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.

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