Daily Practice

Higher Plus

9th December 1969

5 questions · 14 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 0.4, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
3
Quadratic Inequalities3 marks
Solve x^2 + 8x < 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 5 m/s over 8 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.

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