Daily Practice

Higher

24th December 1981

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

1
Histograms2 marks
A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
2
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -20/x, work out y when x = 10, and write down the equation of its vertical asymptote.
4
Repeated Percentage Change3 marks
A town's population is 23500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 200 cm^3. Work out the volume of the smaller.

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