Daily Practice

Higher

2nd April 1982

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

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 27. Work out y when x = 2.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 23 cm and an angle of 44°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
4 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
5
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?

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