Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th November 1994

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

1
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 20 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 3 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
5
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?

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