Daily Practice · Higher

Daily Practice - Higher

20th August 1994

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 5x - 36.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 5.
3
The Sine Rule3 marks
In triangle ABC, angle A is 72°, angle B is 78° 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, 13 are in A only, 11 in B only, 12 in both and 8 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 1, lower quartile 3, median 5, upper quartile 14 and maximum 18. Work out the interquartile range.

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