Daily Practice · Higher

Daily Practice - Higher

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

18th January 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 9, lower quartile 16, median 26, upper quartile 32 and maximum 38. Work out the interquartile range.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.888... as a fraction in its simplest form.
4
Simultaneous Equations3 marks
2 teas and 2 cakes cost £6.80. 4 teas and 2 cakes cost £8.60. Find the price of a tea.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 8.

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