Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 208 cm^3. Work out the volume of the smaller.
- 2Probability Trees3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Box Plots2 marks
A box plot has a minimum of 15 and a maximum of 68. Work out the range.
- 4The 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?
- 5Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 36/x, work out y when x = -4, and write down the equation of its vertical asymptote.
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