Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

12th June 2001

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
3
Inverse and Composite Functions3 marks
f(x) = 6x + 1 and g(x) = 5x - 2. Work out fg(5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 50.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 8 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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