Daily Practice

Higher Plus

12th March 1981

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

1
Surds3 marks
Simplify sqrt(20) + sqrt(180), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 8x + 4. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 15 cm and an area of 64.95 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.

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