Daily Practice

Higher Plus

2nd December 1975

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 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
3
Factorising Harder Quadratics3 marks
Solve 9x^2 - 12x - 5 = 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 11 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 10 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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