Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th February 2000

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Perpendicular Lines and the equation of a tangent3 marks
The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Simplify sqrt(12) + sqrt(48), giving your answer in the form a sqrt(b).
5
Transforming Graphs y=f(x)3 marks
The point (4, -2) lies on y = f(x). Write down its image on y = f(x) - 6.

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