Daily Practice · Higher

Daily Practice - Higher

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

16th December 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Bounds2 marks
A mass is 23 kg, correct to the nearest whole number. Write down the lower bound.
2
Factorising Harder Quadratics3 marks
Factorise 2x^2 - 7x - 30.
3
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 7. Write y in terms of x.
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
5 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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