Daily Practice

Higher

1st January 1982

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

1
Inequalities on Graphs2 marks
A region is defined by y <= -x - 9. Should the boundary line be solid or dashed, and why?
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 33. Work out y when x = 5.
3
Spheres and Cones3 marks
A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
4
Probability Trees3 marks
A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

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