Daily Practice

Higher Plus

30th January 1983

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 2.5, one 5 units wide with density 3. How many values in total?
2
Bounds3 marks
x = 90 and y = 69, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Write x^2 - 2x - 5 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 26 m/s over 8 seconds. Work out the acceleration.
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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