Daily Practice

Higher Plus

3rd November 1959

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

1
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
2
Quadratic Inequalities3 marks
Solve x^2 - 9 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 25.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 12 cm and an area of 25.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.

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