Daily Practice · Higher

Daily Practice - Higher

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

31st January 2026

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

1
Conditional Probability3 marks
22 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
2
Box Plots2 marks
A box plot has minimum 11, lower quartile 16, median 18, upper quartile 26 and maximum 33. Work out the interquartile range.
3
Reverse Percentages3 marks
A bill is £336 including VAT at 20%. Work out the amount before VAT.
4
Quadratic Formula3 marks
Work out the discriminant of 2x^2 + 4x + 12 = 0 and say how many real solutions it has.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 7.

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