Daily Practice

Higher

12th May 1979

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 3.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 25 cm and an angle of 55°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
8 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has minimum 2, lower quartile 7, median 13, upper quartile 20 and maximum 25. Work out the interquartile range.
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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