Daily Practice

Higher

27th April 1970

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

1
Fractional and Negative Indices2 marks
Write 8^-1 as a fraction.
2
Quadratic Formula3 marks
Work out the discriminant of 3x^2 - 5x + 12 = 0 and say how many real solutions it has.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 20%. 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 : 5. The smaller has an area of 22 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
19 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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