Daily Practice

Higher Plus

27th September 1960

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
3
Completing the Square3 marks
Write x^2 + 6x + 6 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 8 m/s to 23 m/s over 10 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.

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