Daily Practice

Higher

6th July 1984

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.
2
Quadratic Formula3 marks
Work out the discriminant of 2x^2 + 3x + 10 = 0 and say how many real solutions it has.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 63. Work out y when x = 11.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 18 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
25 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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