Daily Practice · Higher

Daily Practice - Higher

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

15th April 2023

5 questions · 14 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 = 4, y = 96. Work out y when x = 2.
2
Spheres and Cones3 marks
A sphere has radius 12 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
4 of 8 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 3, lower quartile 9, median 11, upper quartile 18 and maximum 23. Work out the interquartile range.
5
Standard Form3 marks
Work out (28 x 10^6) / (7 x 10^2). Give your answer in standard form.

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