Daily Practice · Higher

Daily Practice - Higher

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

17th March 2001

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 = 5, y = 175. 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
4 of 9 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 5, median 8, upper quartile 17 and maximum 19. Work out the interquartile range.
5
Reverse Percentages3 marks
A bill is £48 including VAT at 20%. Work out the amount before VAT.

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