Daily Practice

Higher Plus

26th December 1963

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 = 3, y = 108. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides of 18 cm and 5 cm with an angle of 97° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 2 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 40 < x <= 45 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(48) + sqrt(147), giving your answer in the form a sqrt(b).

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 December 1963, including the monthly compilation PDF.