Daily Practice

Higher Plus

8th November 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 0.4, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Simplify sqrt(75) + sqrt(108), giving your answer in the form a sqrt(b).
3
Factorising Harder Quadratics3 marks
Solve 3x^2 - 14x + 8 = 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 14 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 14 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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