Daily Practice · Higher Plus

Daily Practice - Higher Plus

16th February 1992

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 11 cm by 6 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 5 red and 6 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, one 25 units wide with density 0.6. How many values in total?
4
Bounds3 marks
x = 185 and y = 114, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 10.

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