Daily Practice · Higher

Daily Practice - Higher

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

8th March 2003

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

1
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 7, lower quartile 13, median 21, upper quartile 31 and maximum 40. Work out the interquartile range.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -10/x, work out y when x = -10, and write down the equation of its vertical asymptote.

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