Daily Practice

Higher

1st October 1980

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

1
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
2
Factorising Harder Quadratics3 marks
Factorise 5x^2 - 31x + 30.
3
Speed and Density2 marks
A block has volume 160 cm^3 and density 11 g/cm^3. Work out its mass.
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
3 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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