Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th October 2008

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 17 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x + 3.
4
Velocity Time Graphs3 marks
A tram runs at 7 m/s for 10 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.

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