Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd October 2019

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

1
Conditional Probability3 marks
A bag holds 3 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
3
Bounds3 marks
A rectangle is 20 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Factorising Harder Quadratics3 marks
Solve 6x^2 + 13x + 5 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 25.

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