Daily Practice

Higher Plus

18th September 1983

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 9.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 8 cm and an area of 39.60 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 36/55. Work out r.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
5
Bounds3 marks
x = 163 and y = 152, each correct to the nearest whole number. Work out the upper bound of x - y.

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