Daily Practice

Higher

18th April 1975

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

1
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
2
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?
3
Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x - 4)(x - 5).
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 28. Work out y when x = 14.
5
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.

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