Daily Practice

Higher Plus

16th May 1975

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 6 cm by 11 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 7 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 1.5, one 10 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 33/sqrt(11), giving your answer in its simplest form.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 8.

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