Daily Practice

Higher

8th October 1989

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 36^(3/2).
2
Quadratic Formula3 marks
Use the quadratic formula to solve x^2 - 2x - 1 = 0, to 2 decimal places.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 5.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 29 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
10 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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