Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd April 2021

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 23, 46, 77. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 11 m/s over 8 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 = 2a + 5b and vector RS = 10a + 25b. What does this show about PQ and RS?

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