Daily Practice · Higher

Daily Practice - Higher

31st July 1993

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

1
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 - 8x - 3 = 0, to 2 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 6.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 19 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
25 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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