Daily Practice

Higher Plus

22nd October 1953

5 questions · 14 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 10 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
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 = 2, y = 20. Work out the positive value of x when y = 20.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 8 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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