Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

4th September 2000

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices2 marks
Write 2^-2 as a fraction.
2
Quadratic Formula3 marks
Work out the discriminant of 2x^2 + 4x + 4 = 0 and say how many real solutions it has.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 11 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
12 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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