Daily Practice

Higher Plus

14th February 1965

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
x = 151 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 3) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.

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