Daily Practice

Higher

27th October 1990

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

1
Standard Form3 marks
Work out (27 x 10^12) / (9 x 10^3). Give your answer in standard form.
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 - 12x - 7 = 0, to 2 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 2.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 29 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
26 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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