Daily Practice

Higher Plus

2nd September 1977

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 7 cm by 10 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
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
5
Algebraic Fractions3 marks
Write 6/(x - 5) + 7/(x - 4) as a single fraction.

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