Daily Practice

Higher

7th February 1976

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

1
Fractional and Negative Indices2 marks
Write 4^-2 as a fraction.
2
Quadratic Formula3 marks
Work out the discriminant of 4x^2 - x + 6 = 0 and say how many real solutions it has.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 3.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 14 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
24 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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