Daily Practice

Higher

7th May 1986

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
5 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Cumulative Frequency2 marks
Four classes in order have frequencies 7, 5, 10, 10. Write down the cumulative frequency at the end of the third class.
3
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
5
Speed and Density2 marks
A block has volume 40 cm^3 and density 2.5 g/cm^3. Work out its mass.

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