Daily Practice

Higher

2nd March 1984

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 81^(3/2).
2
Factorising Harder Quadratics3 marks
Factorise 9x^2 + 3x - 20.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 72. Work out y when x = 11.
4
Spheres and Cones3 marks
A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.
5
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.

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