Daily Practice · Higher

Daily Practice - Higher

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

29th November 1997

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
2 of 6 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 6, lower quartile 14, median 17, upper quartile 22 and maximum 27. Work out the interquartile range.
3
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?
4
Trigonometric and Exponential Graphs2 marks
The curve y = 3^x is drawn. Work out y when x = 1, and write down where the curve crosses the y-axis.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 7.

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