Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th February 1994

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

1
Conditional Probability3 marks
A bag holds 4 red, 7 blue and 4 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 <= 50 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
x = 90 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Algebraic Fractions3 marks
Write 4/(x + 2) + 7/(x + 3) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.

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