Daily Practice

Higher

23rd June 1990

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.
2
Factorising Harder Quadratics3 marks
Factorise 20x^2 + 7x - 3.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 5.
4
Spheres and Cones3 marks
A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
3 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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