Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

26th December 2006

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

1
Surds3 marks
Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).
2
Inverse and Composite Functions3 marks
f(x) = 5x + 5 and g(x) = 4x - 9. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 8 cm and an area of 22.00 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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