Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th September 1999

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

1
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A rectangle is 16 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Algebraic Fractions3 marks
Write 4/(x + 2) + 2/(x - 2) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.

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