Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th January 2016

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 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x - 14.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 10 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 5b and vector RS = 6a + 10b. What does this show about PQ and RS?

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