Daily Practice

Higher Plus

29th December 1972

5 questions · 13 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 10 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 21, 42, 71. 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 = 2, y = 16. Work out the positive value of x when y = 256.
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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