Daily Practice

Higher

1st April 1972

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 44°, angle B is 67° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 11 in B only, 9 in both and 1 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 13, lower quartile 19, median 27, upper quartile 34 and maximum 42. Work out the interquartile range.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5656... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x - 36.

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