Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th March 2004

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(72) + sqrt(8), giving your answer in the form a sqrt(b).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 4) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 11 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 10 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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