Daily Practice

Higher Plus

31st October 1981

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A car covers 560 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 60 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 7 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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