Daily Practice

Higher

1st September 1964

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
2
Quadratic Formula3 marks
Work out the discriminant of x^2 - 5x + 11 = 0 and say how many real solutions it has.
3
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 5. Write y in terms of x.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 14 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
8 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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