Daily Practice

Higher Plus

20th August 1965

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 1.2, one 5 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
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out the positive value of x when y = 100.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 12 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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