Daily Practice · Higher

Daily Practice - Higher

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

22nd August 2025

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

1
Probability Trees3 marks
1 of 8 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 beetle population of a woodland. State one assumption the method relies on.
3
The Product Rule for Counting2 marks
A meal deal has 6 mains, 9 sides and 3 drinks. How many different meals are possible?
4
Trigonometric and Exponential Graphs2 marks
The curve y = 5^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 81. Work out y when x = 6.

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