Daily Practice

Higher Plus

13th February 1981

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 6 cm by 5 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 3 red and 9 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 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
4
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
5
Transforming Graphs y=f(x)3 marks
The point (-2, 4) lies on y = f(x). Write down its image on y = f(x - 5).

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