Daily Practice · Higher

Daily Practice - Higher

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

23rd July 2025

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

1
Conditional Probability3 marks
22 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
2
Cumulative Frequency2 marks
Four classes in order have frequencies 9, 7, 6, 5. Write down the cumulative frequency at the end of the third class.
3
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 + 9x + 3 = 0, to 2 decimal places.
5
Speed and Density2 marks
A block has volume 190 cm^3 and density 11 g/cm^3. Work out its mass.

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