Daily Practice

Higher Plus

18th February 1977

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 1.5, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 648.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 10 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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