Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th October 2008

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 60 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
x = 68 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Completing the Square3 marks
Write x^2 - 10x - 12 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.

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