Daily Practice · Higher

Daily Practice - Higher

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

24th August 2025

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7575... as a fraction in its simplest form.
2
Quadratic Formula3 marks
Use the quadratic formula to solve x^2 - 10x + 5 = 0, to 2 decimal places.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 2, y = 8. Work out y when x = 4.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 16 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
12 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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