Daily Practice

Higher Plus

11th May 1991

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 5/13. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
3
Bounds3 marks
A car covers 140 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 64.

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