Daily Practice

Higher Plus

20th December 1983

5 questions · 14 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 2.5, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
3
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out the positive value of x when y = 48.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 5 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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