Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th January 1997

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

1
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 7 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 12 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 6 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

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