Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th August 2002

5 questions · 13 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 1.2, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -1, 1, 5, 11. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 14.5 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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