Daily Practice

Higher Plus

29th June 1984

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 5 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x - 7.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 147.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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