Daily Practice

Higher Plus

8th January 1965

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 10 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 7 red and 6 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 10 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
5
Completing the Square3 marks
Write x^2 - 12x + 10 in the form (x + a)^2 + b.

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