Daily Practice

Higher

13th January 1988

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Speed and Density2 marks
A block has volume 185 cm^3 and density 7.5 g/cm^3. Work out its mass.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 23 cm and an angle of 21°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
2 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
Four classes in order have frequencies 8, 6, 12, 5. Write down the cumulative frequency at the end of the third class.
5
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?

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