Daily Practice

Higher

19th October 1963

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

1
Bounds2 marks
A mass is 600 kg, correct to the nearest 10. Write down the lower bound.
2
Factorising Harder Quadratics3 marks
Factorise 12x^2 - 7x - 12.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 8.
4
Spheres and Cones3 marks
A sphere has radius 9 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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