Daily Practice · Higher

Daily Practice - Higher

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

18th March 2026

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

1
Speed and Density2 marks
A block has volume 60 cm^3 and density 2.5 g/cm^3. Work out its mass.
2
Vectors3 marks
a is the column vector (4, -1) and b is (-5, -3). Work out 4a - 2b as a column vector.
3
Probability Trees3 marks
1 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
Four classes in order have frequencies 12, 4, 8, 5. Write down the cumulative frequency at the end of the third class.
5
Fractional and Negative Indices3 marks
Work out 100^(3/2).

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