Daily Practice

Higher

22nd February 1975

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

1
Probability Trees3 marks
2 of 5 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 1, lower quartile 11, median 19, upper quartile 25 and maximum 33. Work out the interquartile range.
3
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?
4
Factorising Harder Quadratics3 marks
Factorise 4x^2 - 5x - 6.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 6.

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