Daily Practice

Higher Plus

24th May 1990

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 9x^2 - 18x + 8 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 49.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 9 cm and an area of 36.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.

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