Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th February 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 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 8) with x(0) = 3. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 10 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 4b and vector RS = 8a - 16b. What does this show about PQ and RS?

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