Daily Practice · Higher

Daily Practice - Higher

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

10th August 2019

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 = 3, y = 81. Work out y when x = 8.
2
Spheres and Cones3 marks
A sphere has radius 9 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
3 of 5 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 8, lower quartile 18, median 23, upper quartile 29 and maximum 31. Work out the interquartile range.
5
Standard Form2 marks
Work out (2 x 10^8) x (8 x 10^-5). Give your answer in standard form.

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