Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 26 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Transforming Graphs y=f(x)3 marks
The point (5, 0) lies on y = f(x). Write down its image on y = f(x) + 6.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 22 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
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