Daily Practice

Higher

6th January 1982

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 + 6x - 4 = 0, to 2 decimal places.
3
Speed and Density2 marks
A block has volume 65 cm^3 and density 3 g/cm^3. Work out its mass.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 16 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
14 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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