Daily Practice

Higher Plus

20th December 1990

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(75), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 3x + 5. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 16 cm and an area of 39.60 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) = 5/12. Work out r.

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