Daily Practice

Higher Plus

8th April 1955

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
4
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 5 = y(x + 5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.

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