Daily Practice

Higher

27th March 1976

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 2x - 48.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 8.
3
The Sine Rule3 marks
In triangle ABC, angle A is 30°, angle B is 92° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 5 in B only, 7 in both and 5 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 15, lower quartile 18, median 24, upper quartile 32 and maximum 40. Work out the interquartile range.

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