Daily Practice

Higher Plus

8th July 1980

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
3
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 35 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 8 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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