Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd January 2015

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.
4
Factorising Harder Quadratics3 marks
Solve 16x^2 - 32x + 15 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.

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