Daily Practice

Higher Plus

2nd May 1954

5 questions · 15 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 2, one 25 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 144 and y = 117, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x + 8.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 108.
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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