Daily Practice

Higher Plus

26th August 1974

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

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A block has mass 400 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Transforming Graphs y=f(x)3 marks
The point (2, -1) lies on y = f(x). Write down its image on y = f(x) + 5.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.

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