Daily Practice

Higher Plus

23rd December 1990

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 9 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 11 red and 3 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 1.2, one 25 units wide with density 3. How many values in total?
4
Bounds3 marks
x = 103 and y = 38, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Quadratic Inequalities3 marks
Solve x^2 + x - 2 < 0.

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