Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th January 2010

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 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
3
Transforming Graphs y=f(x)3 marks
The point (5, -5) lies on y = f(x). Write down its image on y = f(-x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 17 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 8 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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