Daily Practice

Higher

6th April 1985

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
2 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Box Plots2 marks
A box plot has minimum 4, lower quartile 8, median 10, upper quartile 17 and maximum 27. Work out the interquartile range.
3
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Factorising Harder Quadratics3 marks
Factorise 9x^2 - 6x - 8.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 5.

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