Daily Practice

Higher Plus

28th November 1978

5 questions · 14 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 0.4, one 10 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 16x + 4.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 576.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.

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