Daily Practice · Higher

Daily Practice - Higher

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

8th October 2021

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

1
Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
2
Solving Quadratics3 marks
Solve x^2 + 13x + 40 = 0.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 36. Work out y when x = 7.
4
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -2. Work out the gradient of a line perpendicular to it.
5
Conditional Probability3 marks
29 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of October 2021, including the monthly compilation PDF.