Daily Practice · Higher

Daily Practice - Higher

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

3rd October 2022

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7878... as a fraction in its simplest form.
2
Quadratic Formula3 marks
Work out the discriminant of 2x^2 + 5x + 7 = 0 and say how many real solutions it has.
3
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 10%. 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 : 5. The smaller has an area of 29 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
30 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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