Daily Practice · Higher

Daily Practice - Higher

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

19th October 2025

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

1
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 3, y = 16. Work out y when x = 4.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -4. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
10 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Box Plots2 marks
A box plot has a minimum of 8 and a maximum of 35. Work out the range.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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