Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
28th July 2021
- 1Fractional and Negative Indices3 marks
Work out 49^(3/2).
- 2Quadratic Formula3 marks
Work out the discriminant of 2x^2 - 4x + 3 = 0 and say how many real solutions it has.
- 3Speed and Density2 marks
A block has volume 30 cm^3 and density 4 g/cm^3. Work out its mass.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 12 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
22 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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