Daily Practice

Higher Plus

9th July 1957

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 (7 + sqrt(5))(7 - sqrt(5)).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 20 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 14 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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