Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st December 2009

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 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 730 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Algebraic Fractions3 marks
Write 2/(x + 3) + 3/(x - 5) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 5 m/s for 30 s, then slows steadily to rest over 6 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 = 16a - 12b. What does this show about PQ and RS?

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