Daily Practice

Higher

17th November 1986

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

1
Fractional and Negative Indices3 marks
Work out 16^(3/2).
2
Quadratic Formula3 marks
Work out the discriminant of 3x^2 - 4x + 5 = 0 and say how many real solutions it has.
3
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 21 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
21 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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