Daily Practice

Higher

1st February 1985

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

1
Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
2
Factorising Harder Quadratics3 marks
Factorise 3x^2 + 7x - 6.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 9. Work out y when x = 12.
4
Spheres and Cones3 marks
A sphere has radius 15 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
2 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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