Daily Practice

Higher

4th February 1978

5 questions · 13 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 = 2, y = 28. Work out y when x = 3.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -3. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
21 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Box Plots2 marks
A box plot has minimum 11, lower quartile 17, median 21, upper quartile 24 and maximum 26. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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