Daily Practice

Higher Plus

9th August 1974

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (-5, 6) lies on y = f(x). Write down its image on y = f(x) + 1.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 11.5 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 12 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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