Daily Practice

Higher

20th August 1988

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

1
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Factorising Harder Quadratics3 marks
Factorise 4x^2 - 19x - 5.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 3.
4
Spheres and Cones3 marks
A sphere has radius 18 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
2 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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