Daily Practice

Higher Plus

2nd July 1989

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 2 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 2.4. How many values are in that class?
3
Bounds3 marks
x = 119 and y = 43, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.

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