Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th June 2018

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

1
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 2 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 1, 3, 2, 0.5. Which class contains the median?
3
Bounds3 marks
A car covers 110 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Transforming Graphs y=f(x)3 marks
The point (5, -3) lies on y = f(x). Write down its image on y = f(x) + 5.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 49.

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