Daily Practice · Higher

Daily Practice - Higher

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

10th March 2007

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 = 3, y = 36. Work out y when x = 9.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 17 cm with an angle of 51° between them. Work out its area, to 1 decimal place.
3
Probability Trees3 marks
5 of 7 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 3, lower quartile 6, median 13, upper quartile 15 and maximum 24. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?

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