Daily Practice

Higher Plus

15th July 1975

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 4 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 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 1.2, one 5 units wide with density 3. How many values in total?
4
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
5
Transforming Graphs y=f(x)3 marks
The point (-2, 3) lies on y = f(x). Write down its image on y = f(x + 2).

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