Daily Practice

Higher

22nd February 1987

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 1.
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 3.
3
The Sine Rule3 marks
In triangle ABC, angle A is 50°, angle B is 56° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 12 in B only, 12 in both and 9 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has a minimum of 5 and a maximum of 65. Work out the range.

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