Daily Practice

Higher Plus

3rd October 1954

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 7 cm by 12 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 5 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 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
x = 170 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 3 = y(x + 3).

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