Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th January 1996

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

1
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A car covers 100 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Factorising Harder Quadratics3 marks
Solve 4x^2 + 15x + 9 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.

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