Daily Practice

Higher Plus

20th July 1989

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
3
Surds3 marks
Simplify sqrt(75) + sqrt(3), giving your answer in the form a sqrt(b).
4
Completing the Square3 marks
Write x^2 + 8x - 13 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.

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