Daily Practice

Higher Plus

1st March 1983

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
3
Algebraic Fractions3 marks
Write 2/(x - 2) + 4/(x - 3) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 6 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 (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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