Daily Practice

Higher

27th July 1967

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 128 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Histograms2 marks
A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
4
Reverse Percentages3 marks
A bill is £216 including VAT at 20%. Work out the amount before VAT.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 90/x, work out y when x = -10, and write down the equation of its vertical asymptote.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of July 1967, including the monthly compilation PDF.