Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

18th February 2025

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 5, 16, 33, ...
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 32 m/s over 10 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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