Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th February 2011

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
x = 114 and y = 34, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 2 = y(x + 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.

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