Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th May 2016

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 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
3
Algebraic Fractions3 marks
Write 4/(x + 3) + 7/(x - 2) as a single fraction.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 14 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 13 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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