Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd March 2017

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 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 8.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 14 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
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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