Daily Practice

Higher

20th January 1969

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

1
Fractional and Negative Indices2 marks
Write 8^-3 as a fraction.
2
Factorising Harder Quadratics3 marks
Factorise 3x^2 - 10x - 25.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
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
4 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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