Daily Practice

Higher Plus

2nd May 1989

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 11 cm by 8 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 7 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 20 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 10x - 2.

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