Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th March 2025
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
- 3Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 51 m/s over 20 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 8 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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