Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
30th December 2003
- 1The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2Drawing Quadratic Graphs2 marks
For the curve y = x^2 - 3x - 1, work out y when x = 2.
- 3Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 5. Write y in terms of x.
- 4Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 15 cm and angle 30°. Work out its area, to 1 decimal place.
- 5Conditional Probability3 marks
14 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2003, including the monthly compilation PDF.