Daily Practice · Higher

Daily Practice - Higher

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

19th June 2023

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

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
2
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?

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