Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th October 2017

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

1
Conditional Probability3 marks
A bag holds 10 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
4
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.

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