Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th March 2005

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
Surds3 marks
Simplify sqrt(27) + sqrt(12), giving your answer in the form a sqrt(b).
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 3 = y(x + 3).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 21 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - b and vector RS = 6a - 2b. What does this show about PQ and RS?

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