Daily Practice · Higher

Daily Practice - Higher

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

23rd December 2023

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 = 6, y = 108. Work out y when x = 8.
2
Vectors3 marks
a is the column vector (5, 1) and b is (-6, -5). Work out 5a - 5b as a column vector.
3
Probability Trees3 marks
3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has minimum 9, lower quartile 17, median 23, upper quartile 30 and maximum 33. Work out the interquartile range.
5
Reverse Percentages3 marks
A bill is £336 including VAT at 20%. Work out the amount before VAT.

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