Daily Practice

Higher Plus

20th July 1980

5 questions · 14 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 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 164 and y = 93, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Quadratic Inequalities3 marks
Solve x^2 - x - 12 < 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 32.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.

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