Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
11th October 2025
- 1Bounds2 marks
A mass is 69 kg, correct to the nearest whole number. Write down the lower bound.
- 2Quadratic Formula3 marks
Use the quadratic formula to solve 4x^2 + 7x - 8 = 0, to 2 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 3.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 12 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
17 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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