Daily Practice · Higher

Daily Practice - Higher

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

3rd December 2005

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 = 6, y = 72. Work out y when x = 7.
2
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 8 cm and angle 45°. Work out its area, to 1 decimal place.
3
Conditional Probability3 marks
17 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Box Plots2 marks
A box plot has minimum 11, lower quartile 14, median 24, upper quartile 33 and maximum 42. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?

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