Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th October 2024
- 1Reverse Percentages3 marks
A bill is £120 including VAT at 20%. Work out the amount before VAT.
- 2Drawing Quadratic Graphs2 marks
For the curve y = x^2 - x + 4, work out y when x = 5.
- 3Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 84. Work out y when x = 4.
- 4Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 5 cm and angle 30°. Work out its area, to 1 decimal place.
- 5Conditional Probability3 marks
12 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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