Daily Practice

Higher Plus

13th March 1984

5 questions · 14 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 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
3
Completing the Square3 marks
Write x^2 - 16x - 9 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 44 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 4 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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