Daily Practice

Higher

21st May 1978

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

1
Fractional and Negative Indices3 marks
Work out 49^(3/2).
2
Factorising Harder Quadratics3 marks
Factorise 9x^2 + 18x + 8.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 2.
4
Spheres and Cones3 marks
A sphere has radius 12 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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