Daily Practice

Higher

8th August 1960

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 : 4. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 3 red and 9 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 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 45/x, work out y when x = -5, and write down the equation of its vertical asymptote.

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