Daily Practice

Higher Plus

1st March 1985

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 10 < x <= 20 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Write 4/(x + 3) + 7/(x + 1) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.

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