Daily Practice

Higher Plus

12th January 1953

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

1
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A block has mass 600 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 2 = y(x + 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.

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 January 1953, including the monthly compilation PDF.