Daily Practice

Higher Plus

22nd March 1981

5 questions · 14 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 60 < x <= 65 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
x = 111 and y = 93, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.

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