Daily Practice

Higher

28th August 1974

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

1
Fractional and Negative Indices2 marks
Write 4^-1 as a fraction.
2
Quadratic Formula3 marks
Work out the discriminant of 4x^2 + 7x + 12 = 0 and say how many real solutions it has.
3
Speed and Density2 marks
A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 30 cm^2. Work out the area of the larger.
5
Conditional 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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