Daily Practice · Higher

Daily Practice - Higher

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

14th September 2017

5 questions · 12 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 12 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 3 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Histograms2 marks
A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
4
Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
5
Inequalities on Graphs2 marks
A region is defined by y <= -2x + 2. Should the boundary line be solid or dashed, and why?

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