Daily Practice

Higher Plus

20th January 1957

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 7 cm by 7 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 6 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
x = 117 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.

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