Daily Practice · Higher

Daily Practice - Higher

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

12th August 2026

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

1
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 7, 8, 9. Write down the cumulative frequency at the end of the third class.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 7x + 10.
4
Speed and Density2 marks
A block has volume 105 cm^3 and density 7.5 g/cm^3. Work out its mass.
5
The Sine Rule3 marks
In triangle ABC, angle A is 50°, angle B is 70° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.

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