Daily Practice

Higher Plus

20th July 1981

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 7/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A block has mass 760 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Factorising Harder Quadratics3 marks
Solve 12x^2 - 23x + 5 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.

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