Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th March 2022
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
- 3Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 5 in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 17 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 4 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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