Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th September 2003

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 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 29 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Inequalities3 marks
Solve x^2 + 9x + 14 < 0.
4
Velocity Time Graphs3 marks
A tram runs at 18 m/s for 20 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 = 4a + 3b and vector RS = 12a + 9b. What does this show about PQ and RS?

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