Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th July 2004

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 25, 51, 85. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 8 m/s over 4 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 = a + 3b and vector RS = 3a + 9b. What does this show about PQ and RS?

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