Daily Practice

Higher Plus

30th September 1980

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
3
Transforming Graphs y=f(x)3 marks
The point (-1, 6) lies on y = f(x). Write down its image on y = f(-x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 98.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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