Daily Practice

Higher Plus

14th June 1973

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

1
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
3
Surds3 marks
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 2x^2 + x - 10 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.

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