Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 2Quadratic Formula3 marks
Use the quadratic formula to solve 4x^2 - 4x - 4 = 0, to 2 decimal places.
- 3Repeated Percentage Change3 marks
A town's population is 24500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 30 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
23 students study Spanish and 12 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 May 1999, including the monthly compilation PDF.