Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th March 2023
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 59 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 16 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 12 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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