Daily Practice

Higher

3rd September 1958

5 questions · 14 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 12x^2 + 7x + 1.
3
Speed and Density2 marks
A block has volume 175 cm^3 and density 7.5 g/cm^3. Work out its mass.
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
1 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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