Daily Practice · Higher Plus

Daily Practice - Higher Plus

18th March 1997

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

1
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
2
Inverse and Composite Functions3 marks
f(x) = 4x - 7 and g(x) = 4x + 2. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 10 cm and an area of 20.00 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) = 3/14. Work out r.

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