Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th October 2021

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 30-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 (4 + sqrt(5))(4 - sqrt(5)).
3
Transforming Graphs y=f(x)3 marks
The point (6, -4) lies on y = f(x). Write down its image on y = f(-x).
4
Velocity Time Graphs3 marks
A tram runs at 7 m/s for 30 s, then slows steadily to rest over 10 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 - 2b and vector RS = 24a - 8b. What does this show about PQ and RS?

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