Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd February 2004

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 7 = y(x + 7).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 11 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 12 cm by 8 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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