Daily Practice · Higher

Daily Practice - Higher

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

29th March 2025

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
2
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 3 cm and angle 45°. Work out its area, to 1 decimal place.
3
Conditional Probability3 marks
27 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Box Plots2 marks
A box plot has minimum 8, lower quartile 18, median 26, upper quartile 30 and maximum 32. Work out the interquartile range.
5
Reverse Percentages3 marks
A bill is £912 including VAT at 20%. Work out the amount before VAT.

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