Daily Practice

Higher

16th August 1981

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 8x + 15.
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 3.
3
The Sine Rule3 marks
In triangle ABC, angle A is 71°, angle B is 71° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 5 in B only, 3 in both and 6 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has a minimum of 4 and a maximum of 51. Work out the range.

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