Daily Practice

Higher Plus

20th February 1973

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

1
Conditional Probability3 marks
A bag holds 9 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
4
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 7 = y(x + 7).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.

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