Daily Practice

Higher

2nd December 1986

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

1
Circle Theorems2 marks
ABCD is a cyclic quadrilateral. Angle ABC is 114°. Work out angle ADC.
2
Probability Trees3 marks
A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
15 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Changing the Subject of a Formula3 marks
Make x the subject of y = 4x^2 - 12.

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