Daily Practice · Higher

Daily Practice - Higher

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

22nd November 2010

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

1
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
2
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -90/x, work out y when x = 10, and write down the equation of its vertical asymptote.
4
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1856 cm^3. Work out the volume of the smaller.

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