Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd November 1992

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
2
The Cosine Rule3 marks
A triangle has sides of 6 cm and 14 cm with an angle of 97° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 3.5. How many values are in that class?
5
Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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 November 1992, including the monthly compilation PDF.