Daily Practice

Higher Plus

22nd February 1954

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 = 25, y = 25. Work out y when x = 49.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 15 cm and an area of 47.73 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
5
Bounds3 marks
A block has mass 230 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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