Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th December 1992

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
A car covers 290 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 25 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 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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