Daily Practice

Higher Plus

11th February 1958

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

1
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
2
Inverse and Composite Functions3 marks
f(x) = 2x + 3 and g(x) = 3x - 9. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 15 cm and an area of 68.94 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) = 1/12. Work out r.

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