Daily Practice

Higher Plus

29th December 1966

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 12 cm by 10 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 5 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?
4
Surds3 marks
Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x + 5.

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