Daily Practice · Higher

Daily Practice - Higher

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

19th March 1998

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

1
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?
2
Drawing Quadratic Graphs2 marks
For the curve y = x^2 - 4x + 9, work out y when x = -2.
3
Repeated Percentage Change3 marks
A town's population is 24000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
4
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 13 cm and angle 120°. Work out its area, to 1 decimal place.
5
Conditional Probability3 marks
23 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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