Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th April 2022
- 1Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
- 2Velocity Time Graphs3 marks
A tram runs at 17 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 6 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.
- 5Histograms2 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?
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