Daily Practice

Higher Plus

8th October 1974

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 5 = y(x + 5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 81.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 12 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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