Daily Practice

Higher Plus

10th May 1957

5 questions · 14 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 2.5, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -5, 1, 13, 31. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 112.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 8 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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