Daily Practice · Higher

Daily Practice - Higher

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

28th November 2025

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

1
Fractional and Negative Indices3 marks
Work out 100^(3/2).
2
Quadratic Formula3 marks
Work out the discriminant of 4x^2 + 5x + 5 = 0 and say how many real solutions it has.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 55. Work out y when x = 15.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 13 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
20 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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