Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th November 2022
- 1Bounds2 marks
A mass is 38 kg, correct to the nearest whole number. Write down the upper bound.
- 2Quadratic Formula3 marks
Work out the discriminant of x^2 + 2x + 7 = 0 and say how many real solutions it has.
- 3Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 3, y = 60. Work out y when x = 12.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 30 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
17 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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