Daily Practice

Higher Plus

14th June 1955

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 2.5, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 4x - 14.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out the positive value of x when y = 12.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 4 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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