Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th January 2001

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

1
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 5 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 10-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
4
Algebraic Fractions3 marks
Write 3/(x + 6) + 7/(x + 7) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 49.

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