Daily Practice

Higher Plus

12th March 1982

5 questions · 13 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, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
3
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 324.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.

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