Daily Practice · Higher

Daily Practice - Higher

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

7th July 2025

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

1
Standard Form3 marks
Work out (8 x 10^12) / (4 x 10^4). Give your answer in standard form.
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 + 12x + 3 = 0, to 2 decimal places.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 5 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
15 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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