Daily Practice · Higher

Daily Practice - Higher

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

12th July 2025

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

1
Box Plots2 marks
A box plot has minimum 11, lower quartile 15, median 24, upper quartile 30 and maximum 36. Work out the interquartile range.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 2.
5
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.

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