Daily Practice · Higher Plus

Daily Practice - Higher Plus

19th July 1994

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x + 3.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 20.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 6 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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