Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th November 2014

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 1.5, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 9 and g(x) = 5x + 7. Work out fg(3).
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 = 98.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 6 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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