Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

22nd September 2023

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.
2
Factorising Harder Quadratics3 marks
Factorise 6x^2 + 7x + 2.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 99. Work out y when x = 8.
4
Spheres and Cones3 marks
A sphere has radius 6 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
6 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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