Daily Practice

Higher Plus

8th April 1987

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

1
Conditional Probability3 marks
A bag holds 5 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 1.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 19 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
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 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.

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