Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th April 2014

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 1.2, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 5x - 2 and g(x) = 5x - 7. Work out fg(0).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 14 m/s over 4 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.

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