Daily Practice · Higher

Daily Practice - Higher

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

20th September 2026

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 = 6, y = 30. Work out y when x = 5.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 5. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
18 students study Spanish and 6 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 3 and a maximum of 35. Work out the range.
5
Standard Form3 marks
Work out (18 x 10^6) / (6 x 10^5). Give your answer in standard form.

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