Daily Practice

Higher Plus

27th January 1987

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
3
Algebraic Fractions3 marks
Write 5/(x - 3) + 3/(x + 6) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 15 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 15 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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 1987, including the monthly compilation PDF.