Daily Practice · Higher

Daily Practice - Higher

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

15th August 2006

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
60 voles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
2
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
3
Inequalities on Graphs2 marks
A region is defined by y <= -4x - 2. Should the boundary line be solid or dashed, and why?
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
5
Spheres and Cones3 marks
A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.

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