Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 2Quadratic Formula3 marks
Use the quadratic formula to solve x^2 - 10x - 10 = 0, to 2 decimal places.
- 3Speed and Density2 marks
A block has volume 175 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 : 2. The smaller has an area of 12 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
27 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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