Daily Practice

Higher Plus

13th November 1969

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 12 cm by 13 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 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 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(72) + sqrt(98), giving your answer in the form a sqrt(b).
5
Factorising Harder Quadratics3 marks
Solve 4x^2 + 8x + 3 = 0.

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