Daily Practice · Higher

Daily Practice - Higher

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

20th February 1999

5 questions · 13 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 = 3, y = 36. Work out y when x = 8.
2
Vectors3 marks
a is the column vector (3, -4) and b is (-6, 6). Work out 5a - 2b as a column vector.
3
Probability Trees3 marks
2 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 1, lower quartile 4, median 8, upper quartile 13 and maximum 15. Work out the interquartile range.
5
The Product Rule for Counting2 marks
A meal deal has 4 mains, 7 sides and 3 drinks. How many different meals are possible?

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