Daily Practice

Higher Plus

2nd October 1967

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

1
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A block has mass 480 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Quadratic Inequalities3 marks
Solve x^2 + x < 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.

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