Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

9th November 2001

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 40-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 63/sqrt(7), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 5 = y(x + 5).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 17 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 5 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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