Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st October 2013
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
- 3Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 21 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 6b and vector RS = 12a - 24b. What does this show about PQ and RS?
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