Daily Practice

Higher Plus

13th December 1966

5 questions · 15 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 1.5, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 8 = y(x + 8).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 144. Work out the positive value of x when y = 81.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 8 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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