Daily Practice

Higher

20th December 1957

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 8x + 7.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 72. Work out y when x = 9.
3
The Sine Rule3 marks
In triangle ABC, angle A is 44°, angle B is 42° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 9 in B only, 3 in both and 8 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1957, including the monthly compilation PDF.