Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

27th January 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 24 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 13 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
5
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?

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