Daily Practice

Higher

23rd January 1988

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.1212... as a fraction in its simplest form.
2
Quadratic Formula3 marks
Use the quadratic formula to solve 3x^2 + 10x - 11 = 0, to 2 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 9.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 5 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
26 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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