Daily Practice

Higher

1st May 1960

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

1
Surds2 marks
Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
2
Quadratic Formula3 marks
Work out the discriminant of x^2 + 3x + 4 = 0 and say how many real solutions it has.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 8, y = 60. Work out y when x = 12.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 5 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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