Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st January 2010

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
4
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 5 = y(x + 5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.

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