Daily Practice · Higher

Daily Practice - Higher

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

4th April 2026

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

1
Changing the Subject of a Formula3 marks
Make x the subject of y = 4x^2 - 5.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 3.
3
Circle Theorems2 marks
ABCD is a cyclic quadrilateral. Angle ABC is 92°. Work out angle ADC.
4
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Box Plots2 marks
A box plot has minimum 9, lower quartile 13, median 20, upper quartile 23 and maximum 32. Work out the interquartile range.

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