Daily Practice · Higher

Daily Practice - Higher

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

22nd October 2019

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 10 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 7 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
30 newts are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Inequalities on Graphs2 marks
A region is defined by y < -3x - 2. Should the boundary line be solid or dashed, and why?

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