Daily Practice · Higher

Daily Practice - Higher

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

18th March 2023

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

1
Probability Trees3 marks
3 of 9 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 3, lower quartile 9, median 14, upper quartile 21 and maximum 30. Work out the interquartile range.
3
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Simultaneous Equations3 marks
3 teas and 4 cakes cost £15.25. 3 teas and 2 cakes cost £10.25. Find the price of a tea.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 3.

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