Daily Practice · Higher

Daily Practice - Higher

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

14th August 2023

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 15 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Standard Form3 marks
Work out (21 x 10^11) / (7 x 10^4). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y < -3x - 8. Should the boundary line be solid or dashed, and why?

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