Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th October 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 2, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 32 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 6x + 2 and g(x) = 6x - 2. Work out fg(3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 392.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 7 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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