Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

25th April 2017

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 2, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 2, 7, 16, ...
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 16 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 11 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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