Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th August 1992

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 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Write 6/(x + 4) + 6/(x - 1) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 16 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 8 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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