Daily Practice

Higher

7th September 1985

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 = 216. Work out y when x = 3.
2
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 9 cm and angle 90°. Work out its area, to 1 decimal place.
3
Conditional Probability3 marks
9 students study Spanish and 4 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 8, lower quartile 11, median 17, upper quartile 20 and maximum 23. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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