Daily Practice

Higher

4th July 1989

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8181... as a fraction in its simplest form.
2
Quadratic Formula3 marks
Work out the discriminant of 4x^2 - 4x + 5 = 0 and say how many real solutions it has.
3
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 6. Write y in terms of x.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 29 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
32 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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