Daily Practice

Higher Plus

20th March 1989

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 = 3.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 15 cm and an area of 37.12 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
4
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
A block has mass 850 g (to the nearest 10 g) and volume 18 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 March 1989, including the monthly compilation PDF.