Daily Practice

Higher Plus

25th April 1953

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 1.2, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A car covers 690 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
Inverse and Composite Functions3 marks
f(x) = 3x + 7. Work out the inverse function f^-1(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 15 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 7 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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