Daily Practice

Higher

1st August 1987

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

1
Box Plots2 marks
A box plot has minimum 2, lower quartile 4, median 12, upper quartile 18 and maximum 25. Work out the interquartile range.
2
The Product Rule for Counting3 marks
A code is 2 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 + 10x + 24.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 9.
5
The Sine Rule3 marks
In triangle ABC, angle A is 47°, angle B is 66° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.

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