Daily Practice

Higher

6th December 1987

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

1
Standard Form3 marks
Work out (32 x 10^6) / (4 x 10^5). Give your answer in standard form.
2
Quadratic Formula3 marks
Work out the discriminant of 3x^2 - 3x + 6 = 0 and say how many real solutions it has.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 9, y = 20. Work out y when x = 4.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 23 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
18 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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