Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th January 1995

5 questions · 15 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 2, one 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
3
Quadratic Inequalities3 marks
Solve x^2 - 6x + 8 < 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out the positive value of x when y = 256.
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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