Daily Practice · Higher

Daily Practice - Higher

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

1st April 2024

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

1
Standard Form3 marks
Work out (18 x 10^11) / (3 x 10^2). Give your answer in standard form.
2
Factorising Harder Quadratics3 marks
Factorise 12x^2 + 23x + 5.
3
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
4
Spheres and Cones3 marks
A sphere has radius 15 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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