Daily Practice

Higher Plus

16th September 1970

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 19 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.

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