Daily Practice

Higher Plus

18th October 1988

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 12 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 14 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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