Daily Practice

Higher

3rd November 1980

5 questions · 12 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 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 70/x, work out y when x = 10, and write down the equation of its vertical asymptote.

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