Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

23rd June 2009

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture3 marks
45 fish are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
3
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Trigonometric and Exponential Graphs2 marks
The curve y = 3^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
5
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 5. Write y in terms of x.

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