Daily Practice · Higher

Daily Practice - Higher

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

23rd January 2025

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

1
Spheres and Cones3 marks
A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Histograms2 marks
A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
4
Standard Form3 marks
Work out (35 x 10^12) / (5 x 10^5). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y < -3x + 1. Should the boundary line be solid or dashed, and why?

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