Daily Practice

Higher

20th March 1991

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 81^(3/2).
2
Quadratic Formula3 marks
Use the quadratic formula to solve x^2 - 5x - 12 = 0, to 2 decimal places.
3
Speed and Density2 marks
A block has volume 15 cm^3 and density 7.5 g/cm^3. Work out its mass.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 20 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
28 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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