Daily Practice

Higher

27th October 1966

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 8x^2 - 26x + 15.
3
Repeated Percentage Change3 marks
A town's population is 36000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
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
6 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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