Daily Practice

Higher

22nd July 1989

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Standard Form3 marks
Work out (54 x 10^11) / (9 x 10^5). Give your answer in standard form.
2
Factorising Harder Quadratics3 marks
Factorise 6x^2 + 19x + 15.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 5.
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
5 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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