Daily Practice

Higher Plus

12th September 1958

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 8 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional Probability3 marks
A bag holds 5 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
5
Factorising Harder Quadratics3 marks
Solve 4x^2 + 19x - 5 = 0.

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