Daily Practice

Higher Plus

17th April 1976

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

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 440 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 9) with x(0) = 3. 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 = 108. Work out y when x = 4.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of April 1976, including the monthly compilation PDF.