Daily Practice

Higher

2nd August 1957

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 100.
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 20. Work out y when x = 11.
5
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.

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