Daily Practice · Higher Plus

Daily Practice - Higher Plus

16th December 1994

5 questions · 14 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 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 6) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 12 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 14 cm by 13 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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