Daily Practice

Higher Plus

1st September 1985

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 = 256. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides of 7 cm and 6 cm with an angle of 39° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 5 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 0 < x <= 10 has a frequency density of 2.4. How many values are in that class?
5
Bounds3 marks
x = 49 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.

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 September 1985, including the monthly compilation PDF.