Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st October 2009

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 28 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.

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