Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th June 2022

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 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(72) + sqrt(72), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Write x^2 - 4x + 7 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A tram runs at 15 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 = 2a - 3b and vector RS = 10a - 15b. What does this show about PQ and RS?

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