Daily Practice

Higher

27th August 1990

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

1
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 164 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 = -8/x, work out y when x = -1, and write down the equation of its vertical asymptote.
4
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 15%. 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 : 2. The larger has a volume of 80 cm^3. Work out the volume of the smaller.

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