Daily Practice · Higher

Daily Practice - Higher

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

20th December 2025

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

1
Probability Trees3 marks
4 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Box Plots2 marks
A box plot has minimum 6, lower quartile 12, median 17, upper quartile 19 and maximum 22. Work out the interquartile range.
3
Fractional and Negative Indices3 marks
Work out 49^(3/2).
4
Simultaneous Equations3 marks
4 teas and 4 cakes cost £21.00. 3 teas and 2 cakes cost £12.35. Find the price of a tea.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 7.

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