Daily Practice · Higher

Daily Practice - Higher

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

22nd December 2021

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 264 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 4, 11, 6. Write down the cumulative frequency at the end of the third class.
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 = -44/x, work out y when x = -4, and write down the equation of its vertical asymptote.

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