Daily Practice

Higher Plus

23rd December 1956

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
x = 191 and y = 96, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 2) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 16 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.

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 1956, including the monthly compilation PDF.