Daily Practice

Higher Plus

7th March 1954

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 9 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 4 red and 10 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 0.4, one 25 units wide with density 3.5. How many values in total?
4
Bounds3 marks
x = 129 and y = 46, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Proof2 marks
In an algebraic proof, how would you write a multiple of 8 in terms of an integer n?

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