Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd December 2024
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
A block has mass 660 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 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 5 m/s to 24 m/s over 10 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 = 4a + 4b and vector RS = 16a + 16b. What does this show about PQ and RS?
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