Daily Practice

Higher Plus

13th April 1986

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

1
Conditional Probability3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
x = 179 and y = 108, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Algebraic Fractions3 marks
Write 2/(x + 5) + 3/(x - 5) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.

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