Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th June 2010

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 0.4, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 - 11x + 30)/(x - 6).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 7.5 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 13 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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