Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th February 2023

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 1.5, one 5 units wide with density 0.8. 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 - 6. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 294.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 13 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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