Daily Practice

Higher

16th August 1975

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

1
Box Plots2 marks
A box plot has minimum 15, lower quartile 25, median 31, upper quartile 34 and maximum 37. Work out the interquartile range.
2
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8181... as a fraction in its simplest form.
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 - x - 6.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 7.
5
The Sine Rule3 marks
In triangle ABC, angle A is 32°, angle B is 82° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.

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