Daily Practice · Higher

Daily Practice - Higher

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

24th June 2023

5 questions · 14 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
Solving Quadratics3 marks
Solve x^2 + 8x + 16 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 2.
4
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 4. Work out the gradient of a line perpendicular to it.
5
Conditional Probability3 marks
12 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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