Daily Practice

Higher Plus

2nd October 1982

5 questions · 13 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 2.5, one 20 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A car covers 380 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 42 m/s over 20 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.

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