Daily Practice

Higher Plus

21st September 1971

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 9 cm and an area of 62.35 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).

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