Daily Practice · Higher

Daily Practice - Higher

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

20th October 2023

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

1
Probability Trees3 marks
1 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
3
Fractional and Negative Indices3 marks
Work out 36^(3/2).
4
Trigonometric and Exponential Graphs2 marks
The curve y = 4^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 12. Work out y when x = 11.

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