Daily Practice

Higher

11th June 1990

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Simultaneous Equations3 marks
3 teas and 3 cakes cost £15.00. 2 teas and 5 cakes cost £20.35. Find the price of a tea.
3
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 13 cm and an angle of 24°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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