Daily Practice

Higher Plus

27th May 1988

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, one 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 14.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 28 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 13 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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