Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th March 2001

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 2, one 20 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
3
Quadratic Inequalities3 marks
Solve x^2 - 7x + 6 < 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 13 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 12 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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