Daily Practice

Higher

23rd March 1957

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

1
Box Plots2 marks
A box plot has minimum 8, lower quartile 15, median 22, upper quartile 27 and maximum 33. Work out the interquartile range.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9x + 18.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
5
The Sine Rule3 marks
In triangle ABC, angle A is 66°, angle B is 43° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.

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