Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 5.
- 2Vectors3 marks
a is the column vector (-6, 5) and b is (-3, 1). Work out 5a - 5b as a column vector.
- 3Probability Trees3 marks
1 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Box Plots2 marks
A box plot has minimum 15, lower quartile 22, median 27, upper quartile 34 and maximum 36. Work out the interquartile range.
- 5The Product Rule for Counting2 marks
A meal deal has 5 mains, 9 sides and 3 drinks. How many different meals are possible?
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