Daily Practice

Higher

4th June 1989

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

1
Surds2 marks
Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
2
Factorising Harder Quadratics3 marks
Factorise 8x^2 - 30x + 25.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 3, y = 30. Work out y when x = 6.
4
Spheres and Cones3 marks
A sphere has radius 6 cm. Work out its volume, leaving your answer in terms of pi.
5
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.

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