Daily Practice

Higher Plus

8th July 1964

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 27 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 3) with x(0) = 5. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 288.
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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