Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd July 2023

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

1
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
3
Bounds3 marks
A car covers 430 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 6x - 2 and g(x) = 4x - 7. Work out fg(5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 81.

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