Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd November 1993

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

1
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x + 4.
2
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
4
Conditional Probability3 marks
A bag holds 7 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
5
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

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