Daily Practice

Higher Plus

13th August 1955

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 1.5, one 5 units wide with density 3. How many values in total?
2
Bounds3 marks
A car covers 410 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (-5, -2) lies on y = f(x). Write down its image on y = f(x + 6).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 32 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 12 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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