Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th January 2025

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
3
Bounds3 marks
x = 120 and y = 56, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x + 14.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.

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