Daily Practice

Higher Plus

1st September 1981

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 0.4, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
3
Quadratic Inequalities3 marks
Solve x^2 - 1 > 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out the positive value of x when y = 256.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 6 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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