Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th January 2007

5 questions · 13 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 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A rectangle is 21 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -1, 4, 13, 26. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 54 m/s over 20 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.

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