Daily Practice

Higher Plus

21st December 1984

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 - x - 6 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 11 cm and an area of 30.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.

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