Daily Practice

Higher Plus

26th October 1982

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 0.4, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x + 5.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 7 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 12 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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