Daily Practice

Higher Plus

14th July 1972

5 questions · 15 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 1.5, one 10 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 6 = y(x + 6).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 200.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 12 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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