Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th November 2022

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 0.4, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 4/sqrt(2), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 15, 31, 53, ...
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 66 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 4 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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