Daily Practice · Higher

Daily Practice - Higher

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

5th August 2023

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

1
The Product Rule for Counting2 marks
A meal deal has 5 mains, 6 sides and 4 drinks. How many different meals are possible?
2
Factorising Harder Quadratics3 marks
Factorise 9x^2 + 30x + 25.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 6.
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
2 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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