Daily Practice

Higher Plus

23rd July 1971

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 = 4, y = 12. Work out y when x = 9.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 11 cm and an area of 60.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.

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