Daily Practice

Higher Plus

23rd August 1984

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

1
Surds3 marks
Simplify sqrt(72) + sqrt(18), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 3x + 3 and g(x) = 2x - 3. Work out fg(-2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 15 cm and an area of 37.12 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.

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