Daily Practice · Higher

Daily Practice - Higher

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

8th February 2026

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

1
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
2
Solving Quadratics3 marks
Solve x^2 + 7x + 6 = 0.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 9, y = 20. Work out y when x = 10.
4
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 3. Work out the gradient of a line perpendicular to it.
5
Conditional Probability3 marks
28 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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