Daily Practice

Higher Plus

8th January 1988

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 10 cm by 7 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 4 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
5
Factorising Harder Quadratics3 marks
Solve 16x^2 - 8x - 15 = 0.

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