Daily Practice

Higher Plus

1st October 1989

5 questions · 13 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 5 units wide with density 0.8. How many values in total?
2
Bounds3 marks
x = 138 and y = 79, each correct to the nearest whole number. Work out the upper bound of x - y.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 15, 25, 39. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 200.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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