Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th March 2026
- 1Standard Form2 marks
Work out (5 x 10^4) x (3 x 10^4). Give your answer in standard form.
- 2Quadratic Formula3 marks
Work out the discriminant of 2x^2 + 3x + 7 = 0 and say how many real solutions it has.
- 3Speed and Density2 marks
A block has volume 185 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 20 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
16 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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