Daily Practice

Higher

14th December 1966

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

1
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Factorising Harder Quadratics3 marks
Factorise 6x^2 - 13x - 5.
3
Speed and Density2 marks
A block has volume 155 cm^3 and density 2.5 g/cm^3. Work out its mass.
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
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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