Daily Practice

Higher Plus

26th September 1958

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 2, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 20/sqrt(2), 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 = 32. Work out the positive value of x when y = 128.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 3 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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