Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th February 2002

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

1
Bounds3 marks
A rectangle is 30 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Inverse and Composite Functions3 marks
f(x) = 7x + 6. 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 = 320. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 8 cm and an area of 32.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 21/55. Work out r.

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