Daily Practice

Higher

1st August 1981

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
5 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 2, lower quartile 9, median 12, upper quartile 18 and maximum 24. Work out the interquartile range.
3
Fractional and Negative Indices2 marks
Write 3^-3 as a fraction.
4
Factorising Harder Quadratics3 marks
Factorise 12x^2 - 11x - 15.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 3.

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