Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Inequalities on Graphs2 marks
A region is defined by y <= 2x + 2. Should the boundary line be solid or dashed, and why?
- 2Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 108. Work out y when x = 10.
- 3Spheres and Cones3 marks
A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 4Probability Trees3 marks
A bag holds 3 red and 9 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
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