Daily Practice

Higher

7th February 1987

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

1
Probability Trees3 marks
6 of 8 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 7, median 17, upper quartile 22 and maximum 27. Work out the interquartile range.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.222... as a fraction in its simplest form.
4
Factorising Harder Quadratics3 marks
Factorise 3x^2 + 2x - 5.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 8.

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