Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th December 2020

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 2.5, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).
3
Inverse and Composite Functions3 marks
f(x) = 6x + 5 and g(x) = 6x + 8. Work out fg(6).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 23 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 11 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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