Daily Practice

Higher Plus

1st June 1972

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

1
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 5 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 10 < x <= 20 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(20) + sqrt(125), giving your answer in the form a sqrt(b).
4
Transforming Graphs y=f(x)3 marks
The point (-4, 3) lies on y = f(x). Write down its image on y = f(x) + 4.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.

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