Daily Practice · Higher

Daily Practice - Higher

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

15th May 1999

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 3.
2
Spheres and Cones3 marks
A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
6 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has minimum 4, lower quartile 6, median 9, upper quartile 13 and maximum 22. Work out the interquartile range.
5
Standard Form2 marks
Work out (8 x 10^3) x (8 x 10^5). Give your answer in standard form.

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