Daily Practice

Higher Plus

30th June 1961

5 questions · 14 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 0.4, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
3
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 150.
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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