Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd August 2013

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 2.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 33/sqrt(11), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 6 = y(x + 6).
4
Velocity Time Graphs3 marks
A tram runs at 20 m/s for 10 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 = 6a + b and vector RS = 30a + 5b. What does this show about PQ and RS?

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