Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th June 2009

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 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 8, 24, 48, ...
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 18 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 13 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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