Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th January 1995

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 520 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 2x - 2 and g(x) = 4x - 9. Work out fg(-2).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 10 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 2b and vector RS = 5a + 10b. What does this show about PQ and RS?

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 1995, including the monthly compilation PDF.