Daily Practice

Higher Plus

24th May 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 = 4, y = 36. Work out y when x = 3.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 7 cm and an area of 15.75 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Bounds3 marks
A block has mass 690 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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